Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A2 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
6
Gle
ncoe A
lgeb
ra 1
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n (continued)
Desig
nin
g a
Su
rvey
Sam
plin
g T
ech
niq
ues
Su
pp
ose
you
wan
t to
su
rvey s
tud
en
ts a
bou
t th
eir
ch
oic
e o
f ra
dio
sta
tion
s. A
ll s
tud
en
ts m
ak
e u
p t
he p
op
ula
tio
n y
ou
wan
t to
su
rvey.
A s
am
ple
is
som
e
port
ion
of
the l
arg
er
gro
up
th
at
you
sele
ct t
o r
ep
rese
nt
the e
nti
re g
rou
p.
A c
en
su
s w
ou
ld
incl
ud
e a
ll s
tud
en
ts w
ith
in t
he p
op
ula
tion
. A
ra
nd
om
sa
mp
le o
f a p
op
ula
tion
is
sele
cted
so
that
it i
s re
pre
sen
tati
ve o
f th
e e
nti
re p
op
ula
tion
.
Sim
ple
Ran
do
m S
am
ple
a s
am
ple
that
is a
s lik
ely
to b
e c
hosen a
s a
noth
er
from
a p
opula
tion
Str
ati
fied
Ran
do
m S
am
ple
A p
opula
tion is f
irst
div
ided into
sim
ilar,
nonoverlappin
g g
roups.
A s
imple
random
sam
ple
is t
hen c
hosen f
rom
each g
roup.
Syste
mati
c R
an
do
m S
am
ple
Item
s a
re s
ele
cte
d a
ccord
ing t
o a
specifie
d t
ime o
r in
terv
al.
S
CH
OO
L T
en
stu
den
ts
are c
ho
sen
ra
nd
om
ly f
ro
m e
ach
hig
h
sch
oo
l cla
ss t
o b
e o
n a
n a
dv
iso
ry
co
mm
itte
e w
ith
th
e p
rin
cip
al.
a.
Iden
tify
th
e s
am
ple
an
d s
ug
gest
a
po
pu
lati
on
fro
m w
hic
h i
t w
as
ch
osen
.
Th
e s
am
ple
is
4 g
rou
ps
of
10 s
tud
en
ts
each
fro
m t
he f
resh
men
, so
ph
om
ore
,
jun
ior,
an
d s
en
ior
class
es.
Th
e p
op
ula
tion
is t
he e
nti
re s
tud
en
t bod
y o
f th
e s
chool.
b.
Cla
ssif
y t
he s
am
ple
as sim
ple
,
stratified,
or systematic.
Th
is i
s a s
trati
fied r
an
dom
sam
ple
beca
use
the p
opu
lati
on
was
firs
t div
ided i
nto
non
overl
appin
g g
rou
ps
an
d t
hen
a r
an
dom
sam
ple
was
chose
n f
rom
each
gro
up.
D
OO
R P
RIZ
ES
E
ach
of
the p
arti
cip
an
ts i
n a
co
nfe
ren
ce w
as
giv
en
a n
um
bered
na
me t
ag
.
Tw
en
ty-f
ive n
um
bers w
ere c
ho
sen
at
ra
nd
om
to
receiv
e a
do
or p
riz
e.
a.
Iden
tify
th
e s
am
ple
an
d s
ug
gest
a
po
pu
lati
on
fro
m w
hic
h i
t w
as
ch
osen
.
Th
e s
am
ple
was
25 p
art
icip
an
ts o
f th
e
con
fere
nce
. T
he p
op
ula
tion
was
all
of
the
part
icip
an
ts o
f th
e c
on
fere
nce
.
b.
Cla
ssif
y t
he s
am
ple
as sim
ple
,
stratified
, o
r systematic.
Sin
ce t
he n
um
bers
were
ch
ose
n
ran
dom
ly,
this
is
a s
imp
le r
an
dom
sam
ple
beca
use
each
part
icip
an
t w
as
equ
all
y l
ikely
to b
e c
hose
n.
Exerc
ises
Iden
tify
ea
ch
sa
mp
le,
su
gg
est
a p
op
ula
tio
n f
ro
m w
hic
h i
t w
as s
ele
cte
d.
Th
en
cla
ssif
y t
he s
am
ple
as sim
ple
, stratified
, o
r systematic.
Ex
pla
in y
ou
r r
ea
so
nin
g.
1. S
CH
OO
L E
ach
stu
den
t in
a c
lass
of
2.
GA
RD
EN
ING
A
gard
en
er
div
ided
a l
ot
25 s
tud
en
ts w
as
giv
en
a n
um
ber
at
the
in
to 2
5-s
qu
are
-foot
sect
ion
s. H
e t
hen
took
begin
nin
g o
f th
e y
ear.
Peri
od
icall
y,
the
2 s
oil
sam
ple
s fr
om
each
an
d t
est
ed
th
e
teach
er
choose
s 4 n
um
bers
at
ran
dom
to
sa
mp
les
for
min
era
l co
nte
nt.
2 s
oil
dis
pla
y t
heir
hom
ew
ork
on
a p
roje
ctor.
sam
ple
s f
rom
each
secti
on
; en
tire
4 s
tud
en
ts;
25 s
tud
en
ts
lot;
str
ati
fied
in t
he c
lass;
sim
ple
3. S
CH
OO
L O
ne h
un
dre
d s
tud
en
ts i
n t
he
4.
SH
OP
PIN
G E
very
ten
th p
ers
on
leavin
g a
lun
ch r
oom
are
ch
ose
n f
or
a s
urv
ey.
All
gro
cery
sto
re w
as
ask
ed
if
they w
ou
ld
stu
den
ts i
n t
he s
chool
eat
lun
ch a
t th
e
p
art
icip
ate
in
a c
om
mu
nit
y s
urv
ey.
every
sam
e t
ime.
100 s
tud
en
ts;
all
te
nth
pers
on
leavin
g a
gro
cery
stu
den
ts;
sim
ple
sto
re;
all s
ho
pp
ers
at
the g
rocery
sto
re;
syste
mati
c
12-1
Exam
ple
1Exam
ple
2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-1
Ch
ap
ter
12
7
Gle
ncoe A
lgeb
ra 1
12-1
Sk
ills
Pra
ctic
e
Desig
nin
g a
Su
rvey
Iden
tify
ea
ch
sa
mp
le,
an
d s
ug
gest
a p
op
ula
tio
n f
ro
m w
hic
h i
t w
as s
ele
cte
d.
Th
en
cla
ssif
y t
he t
yp
e o
f d
ata
co
llecti
on
used
.
1. LA
ND
SC
AP
ING
A
hom
eow
ner
is c
on
cern
ed
abou
t th
e q
uali
ty o
f th
e t
op
soil
in
her
back
yard
. T
he b
ack
yard
is
div
ided
in
to 5
equ
al
sect
ion
s, a
nd
th
en
a 1
-in
ch p
lug o
f to
pso
il i
s
ran
dom
ly r
em
oved
fro
m e
ach
of
the 5
sect
ion
s. T
he s
oil
is
tak
en
to a
nu
rsery
an
d
an
aly
zed
for
min
era
l co
nte
nt.
5 o
ne-i
nch
plu
gs o
f to
pso
il;
all t
he t
op
so
il i
n
the b
ack y
ard
; str
ati
fied
2. H
EA
LT
H A
hosp
ital’s
ad
min
istr
ati
on
is
inte
rest
ed
in
op
en
ing a
gym
on
th
e p
rem
ises
for
all
its
em
plo
yees.
Th
ey a
sk e
ach
mem
ber
of
the n
igh
t-sh
ift
em
erg
en
cy r
oom
sta
ff i
f h
e o
r
she w
ou
ld u
se t
he g
ym
, an
d i
f so
, w
hat
hou
rs t
he e
mp
loyee w
ou
ld p
refe
r to
use
it.
th
e n
igh
t-sh
ift
em
erg
en
cy r
oo
m s
taff
at
a h
osp
ital;
all e
mp
loyees a
t th
e
ho
sp
ital;
co
nven
ien
ce
3. P
OLIT
ICS
A
sen
ato
r w
an
ts t
o k
now
her
ap
pro
val
rati
ng a
mon
g t
he c
on
stit
uen
ts i
n h
er
state
. S
he s
en
ds
qu
est
ion
nair
es
to t
he h
ou
seh
old
s of
1000 r
egis
tere
d v
ote
rs.
a g
rou
p o
f re
gis
tere
d v
ote
rs i
n a
sta
te;
all r
eg
iste
red
vo
ters
in
th
e s
tate
; vo
lun
tary
resp
on
se
Iden
tify
ea
ch
sa
mp
le a
s biased
or unbiased
. E
xp
lain
yo
ur r
ea
so
nin
g.
4. M
AN
UFA
CT
UR
ING
A
com
pan
y t
hat
pro
du
ces
moth
erb
oard
s fo
r co
mp
ute
rs r
an
dom
ly
sele
cts
25 b
oxed
moth
erb
oard
s ou
t of
a s
hip
men
t of
1500,
an
d t
hen
test
s each
sele
cted
moth
erb
oard
to s
ee t
hat
it m
eets
sp
eci
fica
tion
s. U
nb
iased
; th
e s
am
ple
is
rep
resen
tati
ve a
nd
ran
do
mly
ch
osen
.
5. G
OV
ER
NM
EN
T T
he f
irst
100 p
eop
le e
nte
rin
g a
cou
nty
park
on
Th
urs
day a
re a
sked
their
op
inio
ns
on
a p
rop
ose
d c
ou
nty
ord
inan
ce t
hat
wou
ld a
llow
dogs
in c
ou
nty
park
s to
go u
nle
ash
ed
in
cert
ain
desi
gn
ate
d a
reas.
B
iased
; th
e c
on
vie
nie
nce s
am
ple
may
no
t accu
rate
ly r
efl
ect
the p
op
ula
tio
n.
Iden
tify
th
e s
am
ple
an
d s
ug
gest
a p
op
ula
tio
n f
ro
m w
hic
h i
t w
as s
ele
cte
d.
Th
en
cla
ssif
y t
he s
am
ple
as sim
ple
, stratified
, o
r systematic. E
xp
lain
yo
ur r
ea
so
nin
g.
6. M
US
IC T
o d
ete
rmin
e t
he m
usi
c p
refe
ren
ces
of
their
cu
stom
ers
, th
e o
wn
ers
of
a m
usi
c
store
ran
dom
ly c
hoose
10 c
ust
om
ers
to p
art
icip
ate
in
an
in
-sto
re i
nte
rvie
w i
n w
hic
h t
hey
list
en
to n
ew
CD
s fr
om
art
ists
in
all
mu
sic
cate
gori
es.
10 m
usic
-sto
re c
usto
mers
; all c
usto
mers
in
a m
usic
sto
re;
sim
ple
; sam
ple
is e
qu
ally l
ikely
to
be c
ho
sen
as a
ny o
ther
sam
ple
fro
m t
he
po
pu
lati
on
7. LIB
RA
RIE
S A
com
mu
nit
y l
ibra
ry a
sks
every
ten
th p
atr
on
wh
o e
nte
rs t
he l
ibra
ry t
o
nam
e t
he t
yp
e o
r gen
re o
f book
he o
r sh
e i
s m
ost
lik
ely
to b
orr
ow
. T
hey c
on
du
ct t
he
inte
rvie
ws
from
op
en
ing t
o c
losi
ng o
n t
hre
e d
ays
of
the w
eek
. T
hey w
ill
use
th
e d
ata
for
new
acq
uis
itio
ns.
a g
rou
p o
f lib
rary
patr
on
s;
all p
atr
on
s o
f a l
ibra
ry;
syste
mati
c;
ind
ivid
uals
are
sele
cte
d a
cco
rdin
g t
o a
sp
ecif
ied
in
terv
al
8. C
OM
PU
TE
RS
T
o d
ete
rmin
e t
he n
um
ber
of
stu
den
ts w
ho u
se c
om
pu
ters
at
hom
e,
the
hig
h s
chool
off
ice c
hoose
s 10 s
tud
en
ts a
t ra
nd
om
fro
m e
ach
gra
de,
an
d t
hen
in
terv
iew
s
the s
tud
en
ts.
10 s
tud
en
ts f
rom
each
gra
de o
f a h
igh
sch
oo
l; a
ll s
tud
en
ts
in t
he h
igh
sch
oo
l; s
trati
fied
; th
e p
op
ula
tio
n i
s f
irst
div
ided
in
to s
imilar,
n
on
over
lap
pin
g g
rou
ps
Answers (Lesson 12-1)
Answers
Co
pyri
gh
t ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f T
he M
cG
raw
-Hill C
om
pan
ies,
Inc.
Chapter 12 A3 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
8
Gle
ncoe A
lgeb
ra 1
12-1
Practi
ce
Desig
nin
g a
Su
rvey
Iden
tify
ea
ch
sa
mp
le,
su
gg
est
a p
op
ula
tio
n f
ro
m w
hic
h i
t w
as s
ele
cte
d.
Th
en
cla
ssif
y t
he t
yp
e o
f d
ata
co
llecti
on
used
.
1. G
OV
ER
NM
EN
T A
t a t
ow
n c
ou
nci
l m
eeti
ng,
the c
hair
ask
s 5 c
itiz
en
s att
en
din
g f
or
their
op
inio
ns
on
wh
eth
er
to a
pp
rove r
ezon
ing f
or
a r
esi
den
tial
are
a.
5 c
itiz
en
s o
f a t
ow
n;
all c
itiz
en
s o
f a t
ow
n;
bia
sed
; co
nven
ien
ce
2. B
OT
AN
Y T
o d
ete
rmin
e t
he e
xte
nt
of
leaf
bli
gh
t in
th
e m
ap
le t
rees
at
a n
atu
re p
rese
rve,
a b
ota
nis
t d
ivid
es
the r
ese
rve i
nto
10 s
ect
ion
s, r
an
dom
ly s
ele
cts
a 2
00-f
oot
by 2
00-f
oot
squ
are
in
th
e s
ect
ion
, an
d t
hen
exam
ines
all
th
e m
ap
le t
rees
in t
he s
ect
ion
. th
e m
ap
le
trees i
n a
sq
uare
are
a o
f each
of
10 s
ecti
on
s a
t a n
atu
re p
reserv
e;
all t
he
map
le t
rees a
t th
e n
atu
re p
reserv
e;
un
bia
sed
; str
ati
fied
3. FIN
AN
CE
S T
o d
ete
rmin
e t
he p
op
ula
rity
of
on
lin
e b
an
kin
g i
n t
he U
nit
ed
Sta
tes,
a
poll
ing c
om
pan
y s
en
ds
a m
ail
-in
su
rvey t
o 5
000 a
du
lts
to s
ee i
f th
ey b
an
k o
nli
ne,
an
d i
f
they d
o,
how
man
y t
imes
they b
an
k o
nli
ne e
ach
mon
th.
5000 U
.S.
ad
ult
s;
all U
.S.
ad
ult
s;
bia
sed
; vo
lun
tary
resp
on
se
Iden
tify
ea
ch
sa
mp
le a
s b
iased
or u
nb
iased
. E
xp
lain
yo
ur r
ea
so
nin
g.
4. S
HO
ES
A
sh
oe m
an
ufa
ctu
rer
wan
ts t
o c
heck
th
e q
uali
ty o
f it
s sh
oes.
Every
tw
en
ty
min
ute
s, 2
0 p
air
s of
shoes
are
pu
lled
off
th
e a
ssem
bly
lin
e f
or
a q
uali
ty
insp
ect
ion
. u
nb
iased
; th
e s
am
ple
is s
yste
mati
cally c
ho
sen
5. B
US
INE
SS
T
o l
earn
wh
ich
ben
efi
ts e
mp
loyees
at
a l
arg
e c
om
pan
y t
hin
k a
re m
ost
imp
ort
an
t, t
he m
an
agem
en
t h
as
a c
om
pu
ter
sele
ct 5
0 e
mp
loyees
at
ran
dom
. T
he
em
plo
yees
are
th
en
in
terv
iew
ed
by t
he H
um
an
Rela
tion
s d
ep
art
men
t. u
nb
iased
; th
e
sam
ple
is r
an
do
m
Fo
r Q
uesti
on
6, id
en
tify
th
e s
am
ple
, a
nd
su
gg
est
a
po
pu
lati
on
fro
m w
hic
h i
t
wa
s s
ele
cte
d. T
hen
cla
ssif
y t
he s
am
ple
as s
imp
le, st
ra
tifi
ed
, o
r s
yst
em
ati
c. E
xp
lain
yo
ur r
ea
so
nin
g.
6. B
US
INE
SS
A
n i
nsu
ran
ce c
om
pan
y c
heck
s every
hu
nd
red
th c
laim
paym
en
t to
en
sure
that
claim
s h
ave b
een
pro
cess
ed
corr
ect
ly.
every
hu
nd
red
th c
laim
paym
en
t at
an
in
su
ran
ce c
om
pan
y;
all c
laim
paym
en
ts a
t an
in
su
ran
ce c
om
pan
y;
syste
mati
c;
the s
am
ple
was s
ele
cte
d a
cco
rdin
g t
o a
sp
ecif
ied
in
terv
al
7. E
NV
IRO
NM
EN
T S
up
pose
you
wan
t to
kn
ow
if
a m
an
ufa
ctu
rin
g p
lan
t is
dis
charg
ing
con
tam
inan
ts i
nto
a l
oca
l ri
ver.
Desc
ribe a
n u
nbia
sed
way i
n w
hic
h y
ou
cou
ld c
heck
th
e
river
wate
r fo
r co
nta
min
an
ts.
Sam
ple
an
sw
er:
At
a d
iffe
ren
t ti
me e
ach
day,
take a
10-o
un
ce s
am
ple
of
wate
r fr
om
giv
en
lo
cati
on
s j
ust
up
str
eam
an
d
just
do
wn
str
eam
fro
m w
here
th
e p
lan
t d
isch
arg
es i
ts w
aste
s.
Co
mp
are
th
e s
am
ple
s f
or
co
nta
min
an
ts t
o s
ee i
f an
y a
re e
nte
rin
g t
he r
iver
fro
m t
he
dis
ch
arg
e.
8. S
CH
OO
L S
up
pose
you
wan
t to
kn
ow
th
e i
ssu
es
most
im
port
an
t to
teach
ers
at
you
r
sch
ool.
Desc
ribe a
n u
nbia
sed
way i
n w
hic
h y
ou
cou
ld c
on
du
ct y
ou
r su
rvey.
Sam
ple
an
sw
er:
Ob
tain
a l
ist
of
all t
each
ers
at
the s
ch
oo
l. A
ssig
n e
ach
teach
er
a n
um
ber,
an
d t
hen
ran
do
mly
sele
ct
10 n
um
bers
. In
terv
iew
each
of
the
teach
ers
assig
ned
on
e o
f th
e s
ele
cte
d n
um
bers
.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-1
Ch
ap
ter
12
9
Gle
ncoe A
lgeb
ra 1
12-1
Wo
rd
Pro
ble
m P
racti
ce
Desig
nin
g a
Su
rvey
F
or E
xercis
es 1
–4,
iden
tify
th
e s
am
ple
an
d t
he p
op
ula
tio
n f
ro
m w
hic
h i
t w
as
sele
cte
d,
an
d s
tate
wh
eth
er i
t is
bia
sed
or u
nb
iased
. If
un
bia
sed
, cla
ssif
y t
he
sa
mp
le a
s s
imp
le,
str
ati
fied
, o
r
syste
ma
tic.
If b
iased
, cla
ssif
y a
s
con
ven
ien
ce o
r v
olu
nta
ry r
esp
on
se.
Ex
pla
in y
ou
r r
ea
so
nin
g.
1. S
CH
OO
L M
s. Y
eon
g c
hoose
s fo
ur
stu
den
ts t
o p
ass
ou
t sn
ack
s each
day.
To c
hoose
th
e s
tud
en
ts,
she w
rite
s th
e
nam
es
of
each
of
her
18 s
tud
en
ts o
n
small
pie
ces
of
pap
er,
an
d p
lace
s th
em
in
a c
up
. S
he m
ixes
up
th
e n
am
es
an
d p
ull
s
ou
t fo
ur
to b
e t
he s
nack
help
ers
.
sam
ple
: 4 h
elp
ers
; p
op
ula
tio
n:
the
18 s
tud
en
ts i
n t
he c
lass;
un
bia
sed
, sim
ple
ran
do
m s
am
ple
2. E
LE
CT
ION
S In
Su
mm
erv
ille
, re
sid
en
ts
vote
for
mayor
at
on
e o
f th
e e
igh
t
pre
cin
ct v
oti
ng p
lace
s n
ear
wh
ere
th
ey
live.
To a
cqu
ire e
arl
y e
lect
ion
resu
lts
for
the e
ven
ing n
ew
s, a
rep
ort
er
stan
ds
ou
tsid
e o
ne o
f th
e c
ity’s
eig
ht
voti
ng
stati
on
s an
d a
sks
as
man
y p
eop
le a
s
poss
ible
for
wh
om
th
ey v
ote
d.
sam
ple
: th
e v
ote
rs t
he r
ep
ort
er
inte
rvie
ws;
po
pu
lati
on
: all v
ote
rs;
bia
sed
, co
nven
ien
ce s
am
ple
3. D
ISE
AS
E A
Eu
rop
ean
cou
ntr
y’s
healt
h
dep
art
men
t u
ses
nets
to t
rap
bir
ds
near
a l
oca
l w
ild
life
refu
ge.
Th
e b
ird
is
test
ed
for
the p
rese
nce
of
the a
via
n f
lu v
iru
s.
sam
ple
: b
ird
s c
ap
ture
d;
po
pu
lati
on
: b
ird
s i
n t
he r
eg
ion
; b
iased
, co
nven
ien
ce s
am
ple
4. S
OIL
T
o c
heck
for
the p
rese
nce
of
harm
ful
chem
icals
in
th
e g
rou
nd
at
a
new
con
stru
ctio
n s
ite,
geote
chn
ical
en
gin
eers
div
ide t
he s
ite i
nto
12
rect
an
gu
lar
are
as
an
d r
em
ove a
pin
t of
soil
fro
m e
ach
are
a f
or
test
ing.
sam
ple
: 12 p
t o
f so
il;
po
pu
lati
on
: all o
f th
e s
oil o
n t
he s
ite;
un
bia
sed
, str
ati
fied
ran
do
m s
am
ple
5. C
HIL
D S
AFE
TY
T
he B
riti
sh C
olu
mbia
Au
tom
obil
e A
ssoci
ati
on
perf
orm
ed
a f
ree
chil
d s
afe
ty s
eat
insp
ect
ion
for
peop
le
that
cam
e i
n f
or
the s
afe
ty c
heck
. O
nly
7%
of
the 1
000 s
eats
in
spect
ed
were
pro
perl
y u
sed
. T
he g
rap
h b
elo
w s
how
s
the a
pp
roxim
ate
perc
en
tages
of
resu
lts
for
the s
afe
ty s
eat
insp
ect
ion
s.
So
urc
e:
Auto
net
a.
Wri
te a
sta
tem
en
t to
desc
ribe t
he
sam
pli
ng t
ech
niq
ue. T
he s
am
ple
is
bia
sed
becau
se i
t w
as b
ased
o
n v
olu
nta
ry r
esp
on
se.
b.
Is i
t ap
pro
pri
ate
to s
ay t
hat
23%
of
chil
dre
n i
n c
hil
d s
afe
ty s
eats
in
Bri
tish
Colu
mbia
are
not
secu
rely
fast
en
ed
in
th
eir
seat?
Exp
lain
. N
o.
Th
is w
as n
ot
a r
an
do
m s
am
ple
, so
th
e d
ata
can
no
t b
e
gen
era
lized
to
th
e p
op
ula
tio
n.
We d
o n
ot
kn
ow
ho
w t
he s
eats
are
bein
g u
sed
in
veh
icle
s t
hat
were
no
t b
rou
gh
t in
.
Ch
ild
Safe
ty S
eat
Su
rvey R
esu
lts
Child
seat
not
tightly
secure
d in v
ehic
le44%
Child
not
secure
lyfa
ste
ned
in s
eat
23%
Teth
ers
not
used
corr
ectly
14%
Incorr
ect
pla
cem
ent
of
should
er
harn
ess
9%
Seat
pro
perly u
sed
7%
Child
in incorr
ect
seat
for
age/s
ize/w
eig
ht
3%
Answers (Lesson 12-1)
Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A4 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
10
Gle
ncoe A
lgeb
ra 1
12-1
En
rich
men
t
Head
s o
r Tails
Base
d o
n t
he w
ay c
ert
ain
coin
s are
man
ufa
ctu
red
, th
ere
is
a ‘bia
s’ t
ow
ard
s la
nd
ing e
ith
er
head
s u
p o
r ta
ils
up
wh
en
bala
nce
d o
n t
heir
ed
ges.
Bala
nce
severa
l p
en
nie
s fr
om
th
e s
am
e
min
tin
g y
ear
on
th
eir
ed
ges
on
a t
able
. G
en
tly s
hak
e t
he t
able
so t
hat
the p
en
nie
s fa
ll f
lat.
1. W
hat
perc
en
t of
the p
en
nie
s w
ou
ld y
ou
exp
ect
to l
an
d h
ead
s u
p?
Sam
ple
an
sw
er:
50%
2. W
hat
perc
en
t act
uall
y l
an
ded
head
s u
p?
S
ee s
tud
en
ts’
wo
rk,
bu
t it
sh
ou
ld b
e
mo
re h
ead
s t
han
tails.
Rep
eat
the e
xp
eri
men
t.
3. W
ere
th
e r
esu
lts
sim
ilar
to y
ou
r p
revio
us
att
em
pt?
S
ee s
tud
en
ts’
wo
rk.
Th
ey
sh
ou
ld b
e s
imilar.
4. M
ak
e a
con
ject
ure
as
to w
hy t
he p
erc
en
t of
pen
nie
s th
at
lan
d f
ace
up
dif
fers
fro
m w
hat
you
wou
ld e
xp
ect
it
to b
e.
S
am
ple
an
sw
er:
mo
re w
eig
ht
on
on
e s
ide,
gro
oves
in t
he p
en
ny.
Wh
en
a p
en
ny i
s m
an
ufa
ctu
red
, it
is
bevele
d o
r gro
oved
sli
gh
tly,
so t
hat
wh
en
it
fall
s,
it i
s m
ore
lik
ely
to f
all
head
s u
p.
Th
ere
ap
pears
to b
e a
dif
fere
nce
betw
een
min
tin
g y
ears
.
Rep
eat
this
exp
eri
men
t w
ith
oth
er
min
tin
g y
ears
.
5. A
re t
he r
esu
lts
abou
t th
e s
am
e a
s befo
re?
Exp
lain
wh
y o
r w
hy n
ot.
See s
tud
en
ts’
wo
rk.
Beca
use
of
this
bia
s, t
oss
ing a
coin
an
d l
ett
ing i
t h
it t
he g
rou
nd
or
a t
able
to d
ete
rmin
e
a w
inn
er
is n
ot
fair
. T
he p
en
ny i
s m
ost
lik
ely
to l
an
d w
ith
th
e h
ead
sid
e u
p.
6. H
ow
can
you
ch
an
ge a
coin
toss
, so
th
at
head
s an
d t
ail
s are
more
equ
all
y l
ikely
to a
pp
ear?
S
am
ple
an
sw
er:
C
atc
h i
t b
efo
re i
t h
its t
he g
rou
nd
; fi
nd
a
bala
nced
co
in
Try
th
is e
xp
eri
men
t w
ith
oth
er
coin
s to
dete
rmin
e i
f th
ere
is
a “
bia
s” i
n m
an
ufa
ctu
rin
g
these
coin
s as
well
.
7. E
xp
lain
wh
at
hap
pen
s w
hen
you
try
th
is e
xp
eri
men
t w
ith
a n
ick
el,
a d
ime,
an
d
a q
uart
er.
S
ee s
tud
en
ts’
wo
rk.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-2
Ch
ap
ter
12
11
Gle
ncoe A
lgeb
ra 1
12-2
Su
mm
ari
ze S
urv
ey R
esu
lts
To m
ak
e s
urv
ey d
ata
more
use
ful,
it
can
be s
um
mari
zed
acc
ord
ing t
o m
easu
res
of
cen
tral
ten
den
cy:
mea
n,
med
ian
, an
d m
od
e.
Typ
eD
escri
pti
on
Mo
st
Usefu
l W
hen
mean
the s
um
of
the d
ata
div
ided b
y t
he n
um
ber
of
item
s
in t
he d
ata
set
The d
ata
sets
have n
o o
utlie
rs.
media
nth
e m
iddle
num
ber
of
the o
rdere
d d
ata
, or
the m
ean
of
the m
iddle
tw
o n
um
bers
The d
ata
sets
have n
o o
utlie
rs,
but
there
are
no b
ig g
aps in t
he m
iddle
of
the d
ata
.
mode
the n
um
ber
or
num
bers
that
occur
the m
ost
oft
en
The d
ata
set
has m
any r
epeate
d n
um
bers
.
W
hic
h m
ea
su
re o
f cen
tra
l te
nd
en
cy
best
rep
resen
ts t
he d
ata
?
Ju
sti
fy y
ou
r a
nsw
er.
Th
en
fin
d t
he m
ea
su
re.
a.
RESTA
UR
AN
TS
A
resta
ura
nt
reco
rd
s t
he n
um
ber o
f p
eo
ple
wh
o o
rd
er s
ou
p a
t
lun
ch
ea
ch
da
y:
{26,
25,
30,
32,
27,
28}.
Lis
t th
e v
alu
es
from
least
to g
reate
st:
25,
26,
27,
28,
30,
32.
Th
e d
ata
set
does
not
have
an
y o
utl
iers
, an
d d
oes
not
have a
ny r
ep
eate
d n
um
bers
. T
he m
ean
wou
ld b
est
rep
rese
nt
the d
ata
.
25 +
26 +
27
+ 2
8 +
30
+ 3
2
−−
6
=
28
Th
e m
ean
of
the d
ata
is
28.
b.
SO
CC
ER
A
so
ccer t
ea
m k
eep
s a
reco
rd
of
the n
um
ber o
f p
oin
ts i
t sco
res i
n e
ach
ga
me:
{2,
3,
2,
1,
4,
3,
1,
3,
3,
4}.
Lis
t th
e v
alu
es
from
least
to g
reate
st:
1,
1,
2,
2,
3,
3,
3,
3,
4,
4.
Th
e d
ata
set
has
fou
r se
ts
of
rep
eate
d n
um
bers
. T
he m
od
e b
est
rep
rese
nts
th
e d
ata
.
Th
e m
od
e i
s 3,
the n
um
ber
that
occ
urs
th
e m
ost
oft
en
.
Exerc
ises
Wh
ich
mea
su
re o
f cen
tra
l te
nd
en
cy
best
rep
resen
ts t
he d
ata
? J
usti
fy y
ou
r a
nsw
er.
Th
en
fin
d t
he m
ea
su
re.
1. D
EFEC
TS
A
fu
rnit
ure
man
ufa
ctu
rer
keep
s re
cord
s of
how
man
y u
nit
s are
defe
ctiv
e e
ach
day:
{7,
12,
9,
8,
10,
14,
8}.
2. SC
IEN
CE T
ESTS
M
r. W
hart
on
reco
rds
his
stu
den
ts’ sc
ore
s on
th
e l
ast
sci
en
ce t
est
:
{94,
88,
88,
94,
94,
84,
94,
88,
84,
94}.
3. PU
PPIE
S A
vete
rin
ari
an
keep
s re
cord
s of
the w
eig
hts
of
pu
pp
ies
in o
un
ces:
{4.1
, 3.8
, 5.0
, 4.6
, 5.6
, 4.7
, 11.6
}.
4. C
OM
MU
TIN
G T
he l
oca
l n
ew
spap
er
con
du
cted
a t
ele
ph
on
e s
urv
ey o
f co
mm
ute
rs t
o s
ee
how
th
ey g
et
to w
ork
each
day.
Th
e r
esp
on
ses
were
: co
mm
ute
r ra
il,
22;
bu
s, 1
7;
subw
ay,
18;
walk
ing,
15;
car,
224.
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n
An
aly
zin
g S
urv
ey R
esu
lts
Exam
ple
mean
, ap
pro
xim
ate
ly 9
.7
mo
de,
94
med
ian
, 4.7
med
ian
, 18
Answers (Lesson 12-1 and Lesson 12-2)
Answers
Co
pyri
gh
t ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f T
he M
cG
raw
-Hill C
om
pan
ies,
Inc.
Chapter 12 A5 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
12
Gle
ncoe A
lgeb
ra 1
12-2
Evalu
ate
Su
rvey R
esu
lts
Aft
er
a s
urv
ey’s
data
has
been
su
mm
ari
zed
an
d a
rep
ort
of
the f
ind
ings
an
d c
on
clu
sion
s h
as
been
mad
e,
it i
s im
port
an
t to
be a
ble
to j
ud
ge t
he
reli
abil
ity o
f th
e r
ep
ort
. Y
ou
can
do t
his
by v
eri
fyin
g t
hat
the s
am
ple
is
tru
ly r
an
dom
, th
at
the s
am
ple
is
larg
e e
nou
gh
to b
e a
n a
ccu
rate
rep
rese
nta
tive o
f th
e p
op
ula
tion
, an
d t
hat
the
sou
rce o
f th
e d
ata
is
a r
eli
able
on
e.
Als
o c
heck
gra
ph
s acc
om
pan
yin
g s
urv
eys
for
mis
lead
ing
resu
lts.
MU
SIC
G
iven
th
e f
oll
ow
ing
po
rti
on
of
a s
urv
ey
rep
ort,
ev
alu
ate
th
e
va
lid
ity
of
the i
nfo
rm
ati
on
an
d c
on
clu
sio
n.
Qu
esti
on
: W
ha
t is
yo
ur f
av
orit
e b
an
d?
Sa
mp
le:
100 c
on
certg
oers w
ere r
an
do
mly
sele
cte
d.
Co
nclu
sio
n:
Am
eric
a’s
fa
vo
rit
e b
an
d i
s O
cto
ber H
op
e.
So
urc
e:
Octo
ber
Hope F
an C
lub
Th
e r
ep
ort
says
that
con
cert
goers
were
ch
ose
n r
an
dom
ly,
bu
t th
ere
is
no g
uara
nte
e t
hat
a
gro
up
of
con
cert
goers
is
rep
rese
nta
tive o
f A
meri
ca a
s a w
hole
. In
ad
dit
ion
, a s
am
ple
siz
e o
f
100 m
ay b
e t
oo s
mall
to d
raw
a c
on
clu
sion
fro
m.
Als
o,
the r
ep
ort
’s s
ou
rce i
s th
e “
Oct
ober
Hop
e F
an
Clu
b,”
wh
ich
may b
e b
iase
d,
con
sid
eri
ng
that
the r
ep
ort
cit
es
Oct
ober
Hop
e a
s A
meri
ca’s
favori
te b
an
d.
Exerc
ises
Giv
en
th
e f
oll
ow
ing
po
rti
on
of
a s
urv
ey
rep
ort,
ev
alu
ate
th
e v
ali
dit
y o
f th
e
info
rm
ati
on
an
d c
on
clu
sio
n.
1. SC
HO
OL U
NIF
OR
MS
S
urv
ey U
SA
poll
ed
500 r
an
dom
ly s
ele
cted
ad
ult
s in
Cin
cin
nati
,
Oh
io,
by t
ele
ph
on
e.
Q
uest
ion
: S
hou
ld p
ubli
c sc
hool
stu
den
ts w
ear
un
iform
s?
R
esu
lts:
sh
ou
ld,
58%
; sh
ou
ld n
ot,
36%
; n
ot
sure
, 6%
C
on
clu
sion
: A
du
lts
in C
inci
nn
ati
beli
eve s
tud
en
ts s
hou
ld w
ear
un
iform
s to
sch
ool.
2. ELEC
TIO
NS
S
tate
Rep
rese
nta
tive B
eck
com
mis
sion
ed
a p
oll
of
400 r
an
dom
ly s
ele
cted
ad
ult
s vis
itin
g a
mall
in
her
dis
tric
t.
Q
uest
ion
: D
o y
ou
ap
pro
ve o
f th
e j
ob S
tate
Rep
rese
nta
tive B
eck
is
doin
g?
R
esu
lts:
yes,
44%
; n
o,
32%
; u
nd
eci
ded
, 24%
C
on
clu
sion
: S
en
ato
r B
eck
wil
l w
in r
e-e
lect
ion
.
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n (continued)
An
aly
zin
g S
urv
ey R
esu
lts
Exam
ple
Resu
lts
Ch
oic
eR
esp
on
se
Octo
ber
Hope
40%
Rayne
20%
Weim
ar
Republic
10%
Larr
y B
lodgett T
rio
30%
Th
e i
nfo
rmati
on
an
d c
on
clu
sio
n a
pp
ear
to b
e v
alid
.
Th
e i
nfo
rmati
on
may n
ot
be v
alid
, b
ecau
se t
ho
se s
am
ple
d m
ay n
ot
live
or
vo
te i
n t
he s
tate
rep
resen
tati
ve’s
dis
tric
t. T
he c
on
clu
sio
n m
ay n
ot
be
valid
—w
hile t
he d
ata
su
gg
est
that
tho
se s
urv
eyed
believe s
he i
s d
oin
g a
g
oo
d j
ob
, th
is d
oes n
ot
necessari
ly m
ean
th
e p
eo
ple
will
vo
te f
or
her.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-2
Ch
ap
ter
12
13
Gle
ncoe A
lgeb
ra 1
12-2
Wh
ich
mea
su
re o
f cen
tra
l te
nd
en
cy
best
rep
resen
ts t
he d
ata
? J
usti
fy y
ou
r a
nsw
er.
Th
en
fin
d t
he m
ea
su
re.
1. SN
OW
FA
LL A
weath
er
stati
on
keep
s re
cord
s of
how
man
y i
nch
es
of
snow
fall
each
week
: {9
, 2,
0,
3,
0,
2,
1,
2,
3,
1}.
2. SA
LES
A
su
perm
ark
et
keep
s re
cord
s of
how
man
y b
oxes
of
cere
al
are
sold
each
day i
n a
week
: {1
2,
9,
11,
14,
19,
49,
18}.
3. ELEC
TIO
NS
A
cit
y c
ou
nci
lman
keep
s tr
ack
of
the n
um
ber
of
vote
s h
e r
ece
ives
in e
ach
dis
tric
t: {
68,
66,
58,
59,
61,
62,
67}.
Giv
en
th
e f
oll
ow
ing
po
rti
on
of
a s
urv
ey
rep
ort,
ev
alu
ate
th
e v
ali
dit
y o
f th
e
info
rm
ati
on
an
d c
on
clu
sio
n.
4. EC
ON
OM
Y T
he G
all
up
poll
ing c
om
pan
y i
nte
rvie
wed
1464 U
.S.
ad
ult
s n
ati
on
wid
e.
Q
uest
ion
: H
ow
wou
ld y
ou
rate
eco
nom
ic c
on
dit
ion
s in
th
is c
ou
ntr
y t
od
ay?
R
esu
lts:
exce
llen
t, 3
%;
good
, 22%
; on
ly f
air
, 44%
; p
oor
32%
C
on
clu
sion
: A
meri
can
s h
ave c
on
fid
en
ce i
n t
he e
con
om
y.
5. D
OG
S A
pet
store
su
rveyed
its
cu
stom
ers
to f
ind
th
eir
favori
te b
reed
of
dog.
Q
uest
ion
: W
hat
is y
ou
r fa
vori
te b
reed
of
dog?
R
esu
lts:
gold
en
retr
iever,
26%
; co
llie
, 19%
; te
rrie
r, 1
1%
; bu
lld
og,
8%
; p
ug,
24%
; oth
er,
12%
C
on
clu
sion
: T
he g
old
en
retr
iever
is t
he f
avori
te d
og o
f m
ost
cu
stom
ers
.
Dete
rm
ine w
heth
er e
ach
dis
pla
y g
ives a
n a
ccu
ra
te p
ictu
re o
f th
e s
urv
ey
resu
lts.
6. TR
ASH
IN
CIN
ER
ATO
RS
A
loca
l n
ew
spap
er
surv
eyed
530 r
an
dom
ly c
hose
n E
ast
wic
h r
esi
den
ts.
Q
uest
ion
: D
o y
ou
su
pp
ort
clo
sin
g t
he t
rash
in
cin
era
tor
in E
ast
wic
h?
C
on
clu
sion
: E
ast
wic
h r
esi
den
ts o
verw
helm
ingly
su
pp
ort
closi
ng t
he t
rash
in
cin
era
tor.
7. IS
SU
ES
A
tele
vis
ion
sta
tion
in
terv
iew
ed
400 r
an
dom
ly c
hose
n v
ote
rs.
Q
uest
ion
: W
hat
issu
e m
att
ers
most
to y
ou
in c
hoosi
ng a
can
did
ate
to v
ote
for?
C
on
clu
sion
: M
ost
vote
rs d
o n
ot
care
abou
t
the e
nvir
on
men
t.
Sk
ills
Pra
ctic
e
An
aly
zin
g S
urv
ey R
esu
lts
Yes
No
250
300
200 0
350
Inci
ner
ato
r V
ote
Vo
te
r C
on
ce
rn
s
mo
de;
the d
ata
set
has m
an
y r
ep
eate
d n
um
bers
2
med
ian
; th
e d
ata
set
has a
n o
utl
ier;
14
mean
; th
e d
ata
set
has n
o o
utl
ier;
63
T
he i
nfo
rmati
on
is v
alid
, b
ut
the d
ata
do
no
t su
pp
ort
th
e c
on
clu
sio
n—
76%
o
f p
eo
ple
po
lled
rate
th
e e
co
no
my a
s “
on
ly f
air
” o
r “p
oo
r.”
T
he s
urv
ey d
oes n
ot
sta
te h
ow
man
y p
eo
ple
were
su
rveyed
; th
e s
am
ple
siz
e m
ay b
e t
oo
sm
all t
o a
ccu
rate
ly r
ep
resen
t th
e p
op
ula
tio
n.
a
pp
ear
as i
f th
ere
were
tw
ice a
s m
an
y “
Yes” r
esp
on
ses
as “
No
” o
nes,
bu
t th
ere
were
on
ly 3
10 “
Yes” r
esp
on
ses
co
mp
are
d t
o 2
20 f
or
“N
o.”
accu
rate
, b
ut
it d
oes n
ot
necessari
ly
su
pp
ort
th
e c
on
clu
sio
n.
Vo
ters
may
care
ab
ou
t th
e e
nvir
on
men
t, b
ut
care
ab
ou
t an
oth
er
issu
e m
ore
.
Th
e g
rap
h a
pp
ears
Th
e g
rap
h m
akes i
t
Answers (Lesson 12-2)
Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A6 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
14
Gle
ncoe A
lgeb
ra 1
12-2
Wh
ich
mea
su
re o
f cen
tra
l te
nd
en
cy
best
rep
resen
ts t
he d
ata
? J
usti
fy y
ou
r a
nsw
er.
Th
en
fin
d t
he m
ea
su
re.
1. C
ALC
ULA
TO
RS
Th
e m
ath
dep
art
men
t co
un
ts h
ow m
an
y g
rap
hin
g c
alc
ula
tors
are
in
ea
ch c
lass
room
: {2
0,
19,
20,
20,
18,
19,
20,
18,
19}.
2. B
UD
GETIN
G T
he
Bra
dy f
am
ily k
eep
s tr
ack
of
its
mon
thly
ele
ctri
c bil
ls:
{$134,
$122,
$128,
$127,
$136,
$120,
$129}.
3. A
UTO
MA
TED
TELLER
S A
ban
k k
eep
s tr
ack
of
how
man
y c
ust
omer
s u
se i
ts
AT
M e
ach
hou
r: {
39,
42,
44,
120,
54,
48,
43}.
Giv
en
th
e f
oll
ow
ing
po
rti
on
of
a s
urv
ey
rep
ort,
ev
alu
ate
th
e v
ali
dit
y o
f th
e
info
rm
ati
on
an
d c
on
clu
sio
n.
4. H
OM
EW
OR
K C
hri
s p
olle
d 1
6 o
f h
is f
rien
ds
du
rin
g s
tud
y h
all
.Q
ues
tion
: D
o te
ach
ers
at
Ed
ison
Hig
h S
choo
l ass
ign
too
mu
ch h
omew
ork
?R
esu
lts:
yes
, 94%
; n
o, 6
%C
oncl
usi
on:
Tea
cher
s at
Ed
ison
Hig
h S
choo
l sh
ould
ass
ign
les
s h
omew
ork
.
5. SM
OK
ING
Su
rvey
US
A p
olle
d 5
00 r
an
dom
ly s
elec
ted
ad
ult
s in
Ken
tuck
y.
Qu
esti
on:
Do
you
wan
t to
see
sm
okin
g b
an
ned
fro
m r
esta
ura
nts
, bars
, an
d m
ost
ind
oor
pu
bli
c p
lace
s in
Ken
tuck
y?
Res
ult
s: b
an
ned
, 58%
; all
owed
, 41%
; n
ot s
ure
, 1%
Con
clu
sion
: T
he
Un
ited
Sta
tes
shou
ld b
an
sm
okin
g i
nd
oors
.
Dete
rm
ine w
heth
er t
he d
isp
lay
giv
es a
n a
ccu
ra
te p
ictu
re o
f th
e s
urv
ey
resu
lts.
6. R
ED
EV
ELO
PM
EN
T A
loc
al
new
s bro
ad
cast
co
mm
issi
oned
a p
oll
of 6
00 r
an
dom
ly c
hos
en
Pro
vid
ence
res
iden
ts.
Q
ues
tion
: D
o you
su
pp
ort
or o
pp
ose
the
red
evel
opm
ent
of t
he
wate
rfro
nt?
C
oncl
usi
on:
Pro
vid
ence
res
iden
ts s
up
por
t re
dev
elop
ing
the
wate
rfro
nt.
7. PETS
Ern
esto
too
k a
pol
l of
ran
dom
ly s
elec
ted
stu
den
ts
at
his
hig
h s
choo
l an
d a
sked
th
em h
ow m
an
y p
ets
they
ow
ned
. H
e re
cord
ed t
he
resu
lts
an
d m
ad
e th
e gra
ph
sh
own
at
the
righ
t. W
rite
a v
ali
d c
oncl
usi
on u
sin
g d
ata
to
su
pp
ort
you
r an
swer
.
Pra
ctic
e
An
aly
zin
g S
urv
ey R
esu
lts
60
40
20
0
Tw
o o
r M
ore
One
None
80
100
120
Pet
s
Wa
terfr
on
t R
ed
eve
lop
me
nt
mo
de;
20
mean
; $128
med
ian
; 44
T
he s
am
ple
is n
ot
ran
do
m,
so
th
e r
esu
lts m
ay n
ot
be v
alid
. S
tud
en
ts h
ave
a v
este
d i
nte
rest
in t
he r
esu
lts o
f th
e p
oll a
nd
may b
e b
iased
.
Th
e g
rap
h i
s p
ote
nti
ally m
isle
ad
ing
becau
se
“str
on
gly
op
po
se” a
nd
“str
on
gly
su
pp
ort
”
are
co
lore
d s
imilarl
y.
Mo
re r
esid
en
ts o
pp
ose
red
evelo
pin
g t
he w
ate
rfro
nt.
An
sw
ers
will
vary
.
T
he i
nfo
rmati
on
ap
pears
valid
. T
he c
on
clu
sio
n m
ay n
ot
be v
alid
becau
se
the p
oll w
as t
aken
on
ly a
mo
ng
peo
ple
liv
ing
in
Ken
tucky.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-2
Ch
ap
ter
12
15
Gle
ncoe A
lgeb
ra 1
12-2
Wo
rd P
rob
lem
Pra
ctic
e
An
aly
zin
g S
urv
ey R
esu
lts
1.PR
OPER
TY
TA
XES
A l
an
dlo
rd i
s k
eep
ing t
rack
of
wh
at
he
pays
each
m
onth
in
pro
per
ty t
axes
so
he
can
bu
dget
acc
ord
ingly
. F
or t
he
firs
t h
alf
of
the
yea
r,
the
tax b
ills
wer
e $256,
$256,
$274,
$256,
$256,
an
d $
274.
Wh
ich
mea
sure
of
cen
tral
ten
den
cy b
est
rep
rese
nts
th
e d
ata
? Ju
stif
y y
our
an
swer
. T
hen
fin
d
the
mea
sure
.
2.G
AS P
RIC
ES
Qu
inn
ipia
c U
niv
ersi
ty
surv
eyed
1534 r
an
dom
ly c
hos
en
regis
tere
d v
oter
s n
ati
onw
ide
an
d a
sked
th
em,
“As
a r
esu
lt o
f th
e re
cen
t ri
se i
n
gas
pri
ces,
have
you
cu
t back
si
gn
ific
an
tly o
n h
ow m
uch
you
dri
ve?
” A
mon
g t
hos
e w
ho
mak
e le
ss t
han
$30,0
00 a
yea
r, 6
7%
said
th
ey h
ad
cu
t back
on
how
mu
ch t
hey
dri
ve
wh
ile
30%
sa
id t
hey
had
not
. B
ase
d o
n t
his
in
form
ati
on,
a n
ewsp
ap
er m
ad
e th
e co
ncl
usi
on t
hat
“Am
eric
an
s are
cu
ttin
g
back
on
th
eir
dri
vin
g b
ecau
se o
f h
igh
gas
pri
ces.
” E
valu
ate
th
e vali
dit
y o
f th
e in
form
ati
on a
nd
con
clu
sion
.
3.B
OD
YB
UIL
DIN
G A
bod
ybu
ild
er k
eep
s tr
ack
of
how
man
y s
ets
of e
ach
exer
cise
h
e p
erfo
rms
each
day:
{9,
8,
6,
5,
11,
7,
10}.
Wh
ich
mea
sure
of
cen
tral
ten
den
cy
bes
t re
pre
sen
ts t
he
data
? Ju
stif
y y
our
an
swer
. T
hen
fin
d t
he
mea
sure
.
4.TR
AN
SPO
RTA
TIO
N T
he
For
d T
own
ship
S
choo
l B
oard
su
rvey
ed 8
6 r
an
dom
ly
sele
cted
stu
den
ts t
o fi
nd
ou
t h
ow
stu
den
ts g
et t
o sc
hoo
l ea
ch d
ay.
Qu
esti
on:
Wh
at
mod
e of
tra
nsp
orta
tion
d
id y
ou u
se t
o get
to
sch
ool
tod
ay?
Con
clu
sion
: M
ost
stu
den
ts t
ak
e th
e bu
s to
sch
ool
ever
y d
ay.
Dri
ve
Walk
Bu
s
20
30
10 0
40
50
Sch
oo
l T
ran
spo
rtat
ion
a.
Evalu
ate
th
e vali
dit
y o
f th
e in
form
ati
on.
b.
Evalu
ate
th
e vali
dit
y o
f th
e co
ncl
usi
on.
c.
Wri
te a
vali
d c
oncl
usi
on o
f you
r ow
n
usi
ng d
ata
to
sup
por
t you
r an
swer
.
m
od
e;
becau
se t
he d
ata
set
has
man
y r
ep
eate
d n
um
bers
; $256
T
he i
nfo
rmati
on
may n
ot
be v
alid
, b
ecau
se i
t d
oes n
ot
sta
te h
ow
m
an
y o
f th
ose p
olled
make l
ess
than
$30,0
00—
the s
am
ple
siz
e
may b
e t
oo
sm
all.
Th
e c
on
clu
sio
n
may n
ot
be v
alid
eit
her,
becau
se
it t
here
is n
o i
nfo
rmati
on
giv
en
ab
ou
t A
meri
can
s a
s a
wh
ole
.
m
ean
; th
ere
are
no
ou
tlie
rs;
8
Th
e s
am
ple
siz
e m
ay n
ot
be
larg
e e
no
ug
h t
o b
e a
valid
re
pre
sen
tati
on
of
the
po
pu
lati
on
.
Th
e d
ata
in
dic
ate
th
at
mo
re
stu
den
ts e
ith
er
walk
or
dri
ve
each
day t
han
take t
he b
us.
Fu
rth
er,
it
is u
ncle
ar
if t
he
stu
den
ts w
ho
to
ok t
he b
us t
hat
day a
re l
ikely
to
take t
he b
us
every
day.
An
sw
ers
may v
ary
.
Answers (Lesson 12-2)
Answers
Co
pyri
gh
t ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f T
he M
cG
raw
-Hill C
om
pan
ies,
Inc.
Chapter 12 A7 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
16
Gle
ncoe A
lgeb
ra 1
12-2
Wh
en
con
du
ctin
g a
su
rvey,
it i
s im
port
an
t to
kn
ow
how
acc
ura
te y
ou
r d
ata
are
. Y
ou
can
le
arn
more
abou
t th
e a
ccu
racy
of
a s
urv
ey b
y c
alc
ula
tin
g t
he m
arg
in o
f erro
r,
or
the
maxim
um
sta
tist
ical
am
ou
nt
of
the s
urv
ey’s
un
cert
ain
ty.
Wh
en
calc
ula
tin
g t
he m
arg
in o
f err
or,
you
mu
st f
irst
defi
ne t
he c
on
fid
en
ce l
ev
el.
Th
e
con
fid
en
ce l
evel
tell
s h
ow
acc
ura
te t
he p
erc
en
tages
giv
en
in
th
e p
oll
are
, ass
um
ing t
he o
nly
err
or
pre
sen
t is
sta
tist
ical
err
or
(i.e
., n
o b
ias)
. M
ost
poll
s u
se a
con
fid
en
ce l
evel
of
95%
, m
ean
ing t
hat
there
is
at
least
a 9
5%
cert
ain
ty t
hat
the “
tru
e”
perc
en
tage w
ill
be w
ith
in p
lus
or
min
us
the m
arg
in o
f err
or
of
the p
erc
en
tage g
iven
in
th
e s
urv
ey.
Marg
in o
f E
rror
(90%
confidence level) ≈
1.2
9 −
√ #
n
Marg
in o
f E
rror
(95%
confidence level) ≈
0.9
8 −
√ #
n
Marg
in o
f E
rror
(99%
confidence level) ≈
0.8
2 −
√ #
n
n =
sam
ple
siz
e
Th
e c
alc
ula
tion
s above a
ssu
me t
he s
am
ple
siz
e n
is
sign
ific
an
tly s
mall
er
than
th
e
pop
ula
tion
.
ELEC
TIO
NS
A p
oll
of
300 r
an
do
mly
sele
cte
d r
eg
iste
red
vo
ters s
ho
ws
tha
t th
e i
ncu
mb
en
t m
ay
or o
f N
ew
Ca
stl
e i
s l
ea
din
g h
er o
pp
on
en
t b
y a
52%
to
48%
ma
rg
in.
Fin
d t
he m
arg
in o
f erro
r f
or t
he p
oll
assu
min
g a
95%
co
nfi
den
ce l
ev
el.
M9
5% ≈
0.9
8 −
√ #
n
Marg
in o
f err
or
form
ula
for
the 9
5%
confidence leve
l
M9
5% ≈
0.9
8 −
√ ##
300
n =
300
M9
5% ≈
0.0
57
Sim
plif
y.
Th
e m
arg
in o
f err
or
ass
um
ing a
95%
con
fid
en
ce l
evel
is 0
.057,
or ±
5.7
%.
Th
is m
ean
s th
e
mayor’
s act
ual
sup
port
is
95%
lik
ely
to b
e b
etw
een
46.3
% a
nd
57.7
%.
Exerc
ises
1. TO
LL H
IKES
A
poll
of
600 r
an
dom
ly s
ele
cted
ad
ult
s sh
ow
s th
at
65%
of
those
su
rveyed
are
again
st a
pla
n t
o r
ais
e b
rid
ge t
oll
s. F
ind
th
e p
oll
’s m
arg
in o
f err
or
for
the 9
0%
co
nfi
den
ce l
evel.
2. V
AC
ATIO
NS
A
poll
of
1100 r
an
dom
ly s
ele
cted
ad
ult
s sh
ow
s th
at
34%
of
those
su
rveyed
are
pla
nn
ing t
o v
isit
th
e b
each
th
is s
um
mer.
Fin
d t
he p
oll
’s m
arg
in o
f err
or
for
the 9
9%
co
nfi
den
ce l
evel.
3. PO
LIT
ICS
A
poll
of
765 r
an
dom
ly s
ele
cted
regis
tere
d v
ote
rs s
how
s th
at
47%
of
vote
rs
wil
l vote
to r
e-e
lect
th
e i
ncu
mben
t st
ate
sen
ato
r.
a.
Fin
d t
he m
arg
in o
f err
or
for
the 9
5%
con
fid
en
ce l
evel.
b.
Exp
ress
th
e r
an
ge o
f p
oss
ible
su
pp
ort
for
the s
tate
sen
ato
r as
an
in
equ
ali
ty f
or
the
95%
con
fid
en
ce l
evel.
4. A
bou
t h
ow
man
y p
eop
le w
ou
ld n
eed
to b
e s
urv
eyed
to g
ive a
marg
in o
f err
or
of ±
1%
for
the 9
5%
con
fid
en
ce l
evel?
En
rich
men
t
Marg
in o
f E
rro
r
Exam
ple
± 5
.3%
± 2
.5%
± 3
.5%
43.5
% ≤
x ≤
50.5
%
9604
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-3
Ch
ap
ter
12
17
Gle
ncoe A
lgeb
ra 1
12-3
Statis
tic
s a
nd
Param
eters
A s
tati
sti
c i
s a q
uan
tity
calc
ula
ted
fro
m a
sam
ple
. A
pa
ra
mete
r i
s a c
hara
cteri
stic
of
the p
op
ula
tion
of
a w
hole
. S
tati
stic
s ca
n c
han
ge
from
sam
ple
to s
am
ple
wh
ile p
ara
mete
rs d
o n
ot.
Id
en
tify
th
e s
am
ple
an
d t
he p
op
ula
tio
n f
or e
ach
sit
ua
tio
n.
Th
en
describ
e t
he s
am
ple
sta
tisti
c a
nd
th
e p
op
ula
tio
n p
ara
mete
r.
a
. A
t a
lo
ca
l su
perm
ark
et,
a r
an
do
m s
am
ple
of
50 s
ho
pp
ers i
s s
ele
cte
d.
Th
e m
ed
ian
am
ou
nt
sp
en
t a
t th
e s
up
erm
ark
et
is c
alc
ula
ted
fo
r t
he s
am
ple
.
Sam
ple
: th
e g
rou
p o
f 50 s
hop
pers
Pop
ula
tion
: all
sh
op
pers
at
the s
up
erm
ark
et
Sam
ple
sta
tist
ic:
med
ian
am
ou
nt
spen
t of
cust
om
ers
in
th
e s
am
ple
Pop
ula
tion
para
mete
r: m
ed
ian
am
ou
nt
spen
t at
the s
up
erm
ark
et
b. E
very
20 m
inu
tes a
t a
fu
rn
itu
re f
acto
ry
, a
fin
ish
ed
so
fa i
s p
ull
ed
fro
m t
he
assem
bly
lin
e a
nd
ch
eck
ed
fo
r d
efe
cts
. T
he m
ea
n n
um
ber o
f d
efe
cti
ve s
ofa
s o
f a
da
y’s
sa
mp
le i
s t
hen
ca
lcu
late
d.
Sam
ple
: th
e s
ofa
s ch
eck
ed
for
defe
cts
Pop
ula
tion
: all
sofa
s m
an
ufa
ctu
red
Sam
ple
sta
tist
ic:
mean
nu
mber
of
defe
ctiv
e s
ofa
s in
th
e s
am
ple
Pop
ula
tion
para
mete
r: m
ean
nu
mber
of
defe
ctiv
e s
ofa
s m
an
ufa
ctu
red
Exerc
ises
Iden
tify
th
e s
am
ple
an
d t
he p
op
ula
tio
n f
or e
ach
sit
ua
tio
n.
Th
en
describ
e t
he
sa
mp
le s
tati
sti
c a
nd
th
e p
op
ula
tio
n p
ara
mete
r.
1. W
EA
TH
ER
A
mete
oro
logis
t p
lace
s te
n w
eath
er
stati
on
s in
a c
ou
nty
to m
easu
re r
ain
fall
. T
he m
ed
ian
an
nu
al
rain
fall
is
calc
ula
ted
for
the s
am
ple
.
2. B
OTA
NY
A
sci
en
tist
ran
dom
ly s
ele
cts
20 t
rees
in a
fore
st.
Th
e m
ean
heig
ht
of
the
20 t
rees
is t
hen
calc
ula
ted
.
3. PO
LIT
ICS
A
poli
tica
l re
port
er
ran
dom
ly s
ele
cts
25 c
on
gre
ssio
nal
dis
tric
ts a
cross
th
e
cou
ntr
y.
Th
e m
ean
nu
mber
of
vote
s ca
st i
n t
he 2
5 c
on
gre
ssio
nal
dis
tric
ts i
s ca
lcu
late
d.
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n
Sta
tisti
cs a
nd
Para
mete
rs
Exam
ple
Sam
ple
: th
e 1
0 w
eath
er
sta
tio
ns
Po
pu
lati
on
: all l
ocati
on
s i
n t
he c
ou
nty
Sam
ple
sta
tisti
c:
med
ian
an
nu
al
rain
fall i
n t
he s
am
ple
Po
pu
lati
on
para
mete
r: m
ed
ian
an
nu
al
rain
fall a
cro
ss t
he c
ou
nty
Sam
ple
: th
e 2
0 s
ele
cte
d t
rees
Po
pu
lati
on
: all t
rees i
n t
he f
ore
st
Sam
ple
sta
tisti
c:
mean
heig
ht
of
trees i
n t
he s
am
ple
Po
pu
lati
on
para
mete
r: m
ean
heig
ht
of
trees i
n t
he f
ore
st
Sam
ple
: th
e 2
5 s
ele
cte
d c
on
gre
ssio
nal
dis
tric
tsP
op
ula
tio
n:
all c
on
gre
ssio
nal
dis
tric
ts n
ati
on
wid
eS
am
ple
sta
tisti
c:
mean
nu
mb
er
of
vo
tes c
ast
in t
he s
am
ple
Po
pu
lati
on
para
mete
r: m
ean
nu
mb
er
of
vo
tes c
ast
nati
on
wid
e
Answers (Lesson 12-2 and Lesson 12-3)
Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A8 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
18
Gle
ncoe A
lgeb
ra 1
12-3
Sta
tist
ical
An
aly
sis
Th
e m
ea
n a
bso
lute
dev
iati
on
is
the a
vera
ge o
f th
e a
bso
lute
valu
es
of
the d
iffe
ren
ces
betw
een
th
e m
ean
an
d e
ach
valu
e i
n t
he d
ata
set.
It
is u
sed
to
pre
dic
t err
ors
an
d j
ud
ge e
qu
ali
ty.
Th
e s
tan
da
rd
dev
iati
on
is
the c
alc
ula
ted
valu
e t
hat
show
s h
ow
data
devia
te f
rom
th
e m
ean
of
the s
et
of
data
. T
he v
aria
nce
of
data
is
the
squ
are
of
the s
tan
dard
devia
tion
.
EM
PLO
YM
EN
T
Em
plo
yees a
t a
la
w f
irm
keep
tra
ck
of
ho
w m
an
y
ho
urs t
hey
wo
rk
ea
ch
week
: {4
4,
48,
44,
40,
59}.
a
. F
ind
th
e m
ea
n a
bso
lute
dev
iati
on
.
Ste
p 1
F
ind
th
e m
ean
. F
or
this
set
of
data
, th
e m
ean
is
47.
Ste
p 2
F
ind
th
e s
um
of
the a
bso
lute
valu
es
of
the d
iffe
ren
ces
betw
een
each
valu
e i
n t
he s
et
of
data
an
d t
he m
ean
.
4
4 -
47 +
48 -
47 +
44 -
47 +
|40 -
47| +
59 -
47 =
3 +
1 +
3 +
7 +
12 =
26
Ste
p 3
D
ivid
e t
he s
um
by t
he n
um
ber
of
valu
es
in t
he s
et
of
data
: 26 ÷
5 ≠
5.2
Th
e m
ean
abso
lute
devia
tion
is
5.2
.
b. F
ind
th
e v
aria
nce a
nd
sta
nd
ard
dev
iati
on
.
Ste
p 1
T
o f
ind
th
e v
ari
an
ce,
squ
are
th
e d
iffe
ren
ce b
etw
een
each
nu
mber
an
d t
he m
ean
. T
hen
div
ide b
y t
he n
um
ber
of
valu
es.
σ2 =
(44 -
47
)2 +
(4
8 -
47)2
+ (
44 -
47
)2 +
(40 -
45)2
+ (
59 -
47
)2
−−−−
5
= (-
3)2
+ (
1)2
+ (-
3)2
+ (-
5)2
+ (
12)2
−−−
5
=
9 +
1 +
9 +
25
+ 1
44
−−
5
=
188
−
5
Ste
p 2
T
he s
tan
dard
devia
tion
is
the s
qu
are
root
of
the v
ari
an
ce.
√
&
σ2 =
√ &
&
188
−
5
σ ≈
6.1
3
Th
e v
ari
an
ce o
f th
e d
ata
set
is 1
88
−
5
an
d t
he s
tan
dard
devia
tion
is
ap
pro
xim
ate
ly 6
.13.
Exerc
ises
Fin
d t
he m
ea
n,
mea
n a
bso
lute
dev
iati
on
, v
aria
nce,
an
d s
tan
da
rd
dev
iati
on
fo
r
ea
ch
set
of
da
ta.
1. {2
, 4,
9,
5}
2. {1
3,
17,
17,
22,
16}
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n (continued)
Sta
tisti
cs a
nd
Param
ete
rs
Exam
ple
−
x = 5
; m
ean
ab
so
lute
devia
tio
n =
2;
σ2 =
5.2
; σ ≈ 2
.28
− x = 1
7;
mean
ab
so
lute
devia
tio
n =
2;
σ2 =
8.4
; σ ≈ 2
.90
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-3
12-3
Iden
tify
th
e s
am
ple
an
d t
he p
op
ula
tio
n f
or e
ach
sit
ua
tio
n.
Th
en
describ
e t
he
sa
mp
le s
tati
sti
c a
nd
th
e p
op
ula
tio
n p
ara
mete
r.
1. R
ESTA
UR
AN
TS
A
rest
au
ran
t ra
nd
om
ly s
ele
cts
10 p
atr
on
s on
Satu
rday n
igh
t. T
he
med
ian
am
ou
nt
spen
t on
bevera
ges
is t
hen
calc
ula
ted
for
the s
am
ple
.
2. K
ITTEN
S A
vete
rin
ari
an
ran
dom
ly s
ele
cts
3 k
itte
ns
from
a l
itte
r. T
he m
ean
weig
ht
of
the 3
kit
ten
s is
calc
ula
ted
.
3. PR
OD
UC
E A
pro
du
ce c
lerk
ran
dom
ly s
ele
cts
20 b
ags
of
ap
ple
s fr
om
each
week
’s
ship
men
t an
d c
ou
nts
th
e t
ota
l n
um
ber
of
ap
ple
s in
each
bag.
Th
e m
od
e n
um
ber
of
ap
ple
s is
calc
ula
ted
for
the s
am
ple
.
Fin
d t
he m
ea
n a
bso
lute
dev
iati
on
.
4. W
ILD
LIF
E A
rese
arc
her
cou
nts
th
e n
um
ber
of
river
ott
ers
obse
rved
on
each
acr
e
of
lan
d i
n a
sta
te p
ark
: {0
, 10,
14,
6,
0,
8,
4}.
4
5. FIS
HIN
G A
fis
herm
an
reco
rds
the w
eig
ht
of
each
bla
ck b
ass
he c
atc
hes
du
rin
g
a f
ish
ing t
rip
: {1
2,
7,
8,
13,
6,
14}.
3
6. B
UD
GETIN
G X
avie
r k
eep
s tr
ack
of
how
mu
ch m
on
ey h
e s
pen
ds
on
gaso
lin
e
each
week
: {2
0,
13,
26,
0,
33,
16,
18}.
Fin
d t
he m
ea
n,
va
ria
nce,
an
d s
tan
da
rd
dev
iati
on
of
ea
ch
set
of
da
ta.
7. {2
, 0,
10,
4}
8. {6
, 7,
6,
9}
9. {1
0,
9,
13,
6,
7}
10. {6
, 8,
2,
3,
2,
9}
11. {2
3,
18,
28,
26,
15}
12. {4
4,
35,
50,
37,
43,
38,
40}
13. PA
RK
ING
A
cit
y c
ou
nci
lor
wan
ts t
o k
now
how
mu
ch r
even
ue t
he c
ity w
ou
ld e
arn
by
inst
all
ing p
ark
ing m
ete
rs o
n M
ain
Str
eet.
He c
ou
nts
th
e n
um
ber
of
cars
park
ed
on
Main
Str
eet
each
week
day:
{64,
79,
81,
53,
63}.
Fin
d t
he s
tan
dard
devia
tion
. 10.5
5
Ch
ap
ter
12
19
Gle
ncoe A
lgeb
ra 1
Sk
ills
Pra
ctic
e
Sta
tisti
cs a
nd
Param
ete
rs
−
x =
4; σ
2 =
14; σ ≈ 3
.74
−
x =
7; σ
2 =
1.5
; σ ≈ 1
.22
−
x =
5; σ
2 =
8
−
3 ; σ ≈
1.6
3 −
x =
9; σ
2 =
6; σ ≈ 2
.45
−
x =
41; σ
2 =
156
−
7
; σ ≈ 4
.72
−
x =
22; σ
2 =
23.6
; σ ≈ 4
.86
Sam
ple
: th
e 1
0 s
ele
cte
d p
atr
on
s
Po
pu
lati
on
: all p
atr
on
s o
n S
atu
rday n
igh
t
Sam
ple
sta
tisti
c:
med
ian
am
ou
nt
sp
en
t o
n b
evera
ges i
n t
he s
am
ple
Po
pu
lati
on
para
mete
r: m
ed
ian
am
ou
nt
sp
en
t o
n b
evera
ges o
n S
atu
rday n
igh
t
Sam
ple
: th
e 3
sele
cte
d k
itte
ns
Po
pu
lati
on
: all k
itte
ns i
n t
he l
itte
r
Sam
ple
sta
tisti
c:
the m
ean
weig
ht
of
the k
itte
ns i
n t
he s
am
ple
Po
pu
lati
on
para
mete
r: t
he m
ean
weig
ht
of
the k
itte
ns i
n t
he l
itte
r
Sam
ple
: th
e 2
0 s
ele
cte
d b
ag
s o
f ap
ple
s
Po
pu
lati
on
: all b
ag
s o
f ap
ple
s i
n t
he w
eek’s
sh
ipm
en
t
Sam
ple
sta
tisti
c:
mo
de n
um
ber
of
ap
ple
s i
n t
he s
am
ple
Po
pu
lati
on
para
mete
r: m
od
e n
um
ber
of
ap
ple
s i
n t
he w
eek’s
sh
ipm
en
t
5
0
−
7
Answers (Lesson 12-3)
Answers
Co
pyri
gh
t ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f T
he M
cG
raw
-Hill C
om
pan
ies,
Inc.
Chapter 12 A9 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
20
Gle
ncoe A
lgeb
ra 1
12-3
Iden
tify
th
e s
am
ple
an
d t
he p
op
ula
tio
n f
or e
ach
sit
ua
tio
n.
Th
en
describ
e t
he
sa
mp
le s
tati
sti
c a
nd
th
e p
op
ula
tio
n p
ara
mete
r.
1. M
AR
INE B
IOLO
GY
A
mari
ne b
iolo
gis
t ra
nd
om
ly s
ele
cts
30 o
yst
ers
fro
m a
rese
arc
h
tan
k.
Th
e m
ean
weig
ht
of
the 3
0 o
yst
ers
is
calc
ula
ted
.
2. C
IVIL
EN
GIN
EER
ING
A
civ
ic e
ngin
eer
ran
dom
ly s
ele
cts
5 c
ity i
nte
rsect
ion
s w
ith
tra
ffic
ligh
ts.
Th
e m
ed
ian
len
gth
of
a r
ed
lig
ht
is c
alc
ula
ted
for
the s
am
ple
.
3. B
ASEB
ALL A
base
ball
com
mis
sion
er
ran
dom
ly s
ele
cts
10 h
om
e g
am
es
pla
yed
by a
majo
r le
agu
e t
eam
. T
he m
ed
ian
att
en
dan
ce i
s ca
lcu
late
d f
or
the g
am
es
in t
he s
am
ple
.
Fin
d t
he m
ea
n a
bso
lute
dev
iati
on
.
4. IN
VESTIN
G A
sto
ck b
rok
er
keep
s a r
eco
rd o
f th
e d
ail
y c
losi
ng p
rice
of
a s
hare
of
stock
in B
icso
mm
Corp
ora
tion
: {4
5.2
0,
46.1
0,
46.8
5,
42.5
5,
40.8
0}.
2.1
0
5. G
OLF A
golf
er
keep
s tr
ack
of
his
sco
res
for
each
rou
nd
: {7
8,
81,
86,
77,
75}.
3.2
8
6. W
EA
TH
ER
A
mete
oro
logis
t k
eep
s tr
ack
of
the n
um
ber
of
thu
nd
ers
torm
s occ
uri
ng e
ach
mon
th i
n S
uss
ex C
ou
nty
: {0
, 4,
7,
1,
3,
5,
2}.
ap
pro
xim
ate
ly 1
.88
Fin
d t
he m
ea
n,
va
ria
nce,
an
d s
tan
da
rd
dev
iati
on
of
ea
ch
set
of
da
ta.
7. {6
, 11,
16,
9}
8. {2
, 5,
8,
11,
4}
9. {2
3.4
, 16.8
, 9.7
, 22.1
} 10. {1
, 5
−
2 ,
4,
11
−
2 ,
1
−
2 ,
3}
11. {1
45,
166,
171,
150,
88}
12. {1
3,
24,
22,
17,
14,
29,
15,
22}
13. Q
UA
LIT
Y C
ON
TR
OL A
n i
nsp
ect
or
check
s each
au
tom
obil
e t
hat
com
es
off
of
the
ass
em
bly
lin
e.
He k
eep
s a r
eco
rd o
f th
e n
um
ber
of
defe
ctiv
e c
ars
each
day:
{3,
1,
2,
0,
0,
4,
3,
6,
1,
2}.
Fin
d t
he s
tan
dard
devia
tion
. ap
pro
xim
ate
ly 1
.78
Practi
ce
Sta
tisti
cs a
nd
Param
ete
rs
Sam
ple
: th
e 3
0 s
ele
cte
d o
yste
rsP
op
ula
tio
n:
all o
yste
rs i
n t
he r
esearc
h t
an
kS
am
ple
sta
tisti
c:
mean
weig
ht
of
oyste
rs i
n t
he s
am
ple
Po
pu
lati
on
para
mete
r: m
ean
weig
ht
of
oyste
rs i
n t
he r
esearc
h t
an
k
Sam
ple
: th
e 5
cit
y i
nte
rsecti
on
s w
ith
tra
ffic
lig
hts
Po
pu
lati
on
: all c
ity i
nte
rsecti
on
s w
ith
tra
ffic
lig
hts
Sam
ple
sta
tisti
c:
the m
ed
ian
len
gth
of
a r
ed
lig
ht
in t
he s
am
ple
Po
pu
lati
on
para
mete
r: t
he m
ed
ian
len
gth
of
a r
ed
lig
ht
at
all c
ity i
nte
rsecti
on
s
Sam
ple
: th
e 1
0 s
ele
cte
d h
om
e g
am
es p
layed
by t
he t
eam
Po
pu
lati
on
: all h
om
e g
am
es p
layed
by t
he t
eam
Sam
ple
sta
tisti
c:
med
ian
att
en
dan
ce f
or
the g
am
es i
n t
he s
am
ple
Po
pu
lati
on
para
mete
r: m
ed
ian
att
en
dan
ce f
or
all t
he h
om
e g
am
es p
layed
by
the t
eam
−
x =
10.5
; σ
2 =
53
−
4 ;
σ ≈ 3
.64
−
x =
6; σ
2 =
10; σ ≈ 3
.16
−
x =
18; σ
2 =
29.0
75; σ ≈ 5
.39
−
x =
11
−
4 ;
σ2 =
139
−
48 ;
σ ≈ 1
.70
−
x =
19.5
; σ
2 =
27.7
5; σ ≈ 5
.27
−
x =
144; σ
2 =
877.2
; σ ≈ 2
9.6
2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-3
Ch
ap
ter
12
21
Gle
ncoe A
lgeb
ra 1
12-3
1. G
AS P
RIC
ES
R
en
ee i
s p
lan
nin
g a
road
trip
to h
er
au
nt’
s h
ou
se.
To e
stim
ate
how
mu
ch t
he t
rip
wil
l co
st,
she g
oes
on
lin
e
an
d f
ind
s th
e p
rice
of
a g
all
on
of
gaso
lin
e
for
5 r
an
dom
ly s
ele
cted
gas
stati
on
s
alo
ng t
he r
ou
te.
Sh
e t
hen
calc
ula
tes
the
med
ian
pri
ce p
er
gall
on
for
the 5
sele
cted
gas
stati
on
s.
a.
Iden
tify
th
e s
am
ple
an
d t
he
pop
ula
tion
.
b.
Desc
ribe t
he s
am
ple
sta
tist
ic a
nd
th
e
pop
ula
tion
para
mete
r.
2. SU
MM
ER
VA
CA
TIO
N M
r. S
iip
ola
’s
alg
ebra
cla
ss t
ook
a s
urv
ey t
o f
ind
stu
den
ts’ p
lan
s fo
r th
e s
um
mer.
Th
e
resu
lts
are
sh
ow
n i
n t
he c
ircl
e g
rap
h.
Su
mm
er P
lan
s
Fin
d t
he m
ean
abso
lute
vari
ati
on
for
the
poll
resu
lts.
16.4
3. H
OC
KEY
A
hock
ey t
eam
keep
s tr
ack
of
how
man
y g
oals
it
score
s each
gam
e:
{2,
4,
0,
3,
7,
2}.
Fin
d t
he m
ean
, vari
an
ce,
an
d s
tan
dard
devia
tion
of
the d
ata
.
x=
3, σ
2=
14
− 3, σ ≈ 2
.16
4. ER
RO
R A
NA
LY
SIS
M
yau
an
d A
lice
are
stu
dyin
g f
or
their
test
on
sta
tist
ics.
Myau
hyp
oth
esi
zes
that
the v
ari
an
ce o
f a s
et
of
data
wil
l alw
ays
be a
gre
ate
r n
um
ber
than
th
e s
tan
dard
devia
tion
. A
lice
beli
eves
that
Myau
is
inco
rrect
an
d t
hat
the s
tan
dard
vari
ati
on
can
be a
gre
ate
r
nu
mber
than
th
e v
ari
an
ce.
Wh
o i
s
corr
ect
? E
xp
lain
.
5. H
EA
LTH
CLU
BS
T
o p
lan
th
eir
fu
ture
equ
ipm
en
t p
urc
hase
s, t
he N
ort
hvil
le
Healt
h C
lub r
an
dom
ly c
hoose
s 8 p
atr
on
s
an
d t
rack
s h
ow
man
y m
inu
tes
they
spen
d o
n t
he t
read
mil
l: {
30,
30,
45,
20,
60,
30,
30,
15}.
Th
e m
ean
tre
ad
mil
l ti
me
is t
hen
calc
ula
ted
.
a.
Iden
tify
th
e s
am
ple
an
d t
he
pop
ula
tion
. T
hen
desc
ribe t
he s
am
ple
stati
stic
an
d t
he p
op
ula
tion
para
mete
r.
b.
Fin
d t
he s
am
ple
sta
tist
ic s
peci
fied
in
part
a.
32.5
min
ute
s
c.
Fin
d t
he m
ean
abso
lute
devia
tion
for
the s
am
ple
. 10
d.
Fin
d t
he v
ari
an
ce a
nd
sta
nd
ard
devia
tion
for
the s
am
ple
. σ
2=
175;
σ≈
13.2
3
Wo
rd
Pro
ble
m P
racti
ce
Sta
tisti
cs a
nd
Param
ete
rs
Sam
ple
: th
e 5
sele
cte
d g
as s
tati
on
sP
op
ula
tio
n:
all g
as s
tati
on
s a
lon
g
the r
ou
te
Sam
ple
sta
tisti
c:
med
ian
pri
ce p
er
gallo
n o
f g
aso
lin
e i
n t
he s
am
ple
Po
pu
lati
on
para
mete
r: m
ed
ian
p
rice p
er
gallo
n o
f g
aso
lin
e a
lon
g
the r
ou
te
Alice i
s c
orr
ect.
Sam
ple
an
sw
er:
Th
e
sta
nd
ard
devia
tio
n w
ill
be g
reate
r th
an
th
e v
ari
an
ce f
or
clo
sely
rela
ted
d
ata
. F
or
exam
ple
, th
e v
ari
an
ce o
f th
e d
ata
set
{5,
5,
5,
5,
6}
is 0
.232;
the s
tan
dard
devia
tio
n i
s
ap
pro
xim
ate
ly 0
.482.
Sam
ple
: th
e 8
sele
cte
d p
atr
on
sP
op
ula
tio
n:
all p
atr
on
s u
sin
g t
he
tread
mill
Sam
ple
sta
tisti
c:
mean
tim
e o
n
the t
read
mill
for
the s
am
ple
Po
pu
lati
on
para
mete
r: m
ean
tim
e
on
th
e t
read
mill
for
all p
atr
on
s
wh
o u
se i
t
Answers (Lesson 12-3)
Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A10 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
22
Gle
ncoe A
lgeb
ra 1
12-3
You
ju
st l
earn
ed
abou
t st
an
dard
devia
tion
, w
hic
h m
easu
res
how
wid
ely
sp
read
data
poin
ts
in a
sam
ple
are
—ess
en
tiall
y,
how
far
data
poin
ts a
re f
rom
th
e m
ean
.
An
oth
er
key s
tati
stic
al
measu
re i
s th
e s
tan
da
rd
erro
r o
f th
e m
ea
n,
or
SE.
Th
e s
tan
dard
err
or
of
the m
ean
desc
ribes
the u
nce
rtain
ty o
f h
ow
th
e s
am
ple
mean
rep
rese
nts
th
e
pop
ula
tion
mean
, an
d i
s giv
en
by t
he e
qu
ati
on
SE =
σ −
√ $
n ,
wh
ere
σ i
s th
e s
tan
dard
devia
tion
an
d n
is
the s
am
ple
siz
e.
Th
e e
qu
ati
on
for
the s
tan
dard
err
or
ind
icate
s th
at
the l
arg
er
the s
am
ple
siz
e i
s, t
he s
mall
er
the s
tan
dard
err
or
wil
l be.
Th
e s
tan
dard
err
or
is o
ften
desc
ribed
in
term
s of
perc
en
tages
call
ed
co
nfi
den
ce l
imit
s. 95%
con
fid
en
ce l
imit
in
terv
al =
−
x ± 1
.96
SE
99%
con
fid
en
ce l
imit
in
terv
al =
−
x ± 2
.58
SE
T
he s
tan
da
rd
dev
iati
on
of
the w
eig
ht
of
ind
ivid
ua
l a
pp
les a
t M
r.
Ma
gu
ire’s
sta
nd
is 0
.8 o
un
ces.
Th
e m
ea
n w
eig
ht
of
a s
am
ple
of
25 a
pp
les i
s
5.2
ou
nces.
Fin
d t
he 9
9%
co
nfi
den
ce i
nte
rv
al
for t
he m
ea
n.
Fir
st,
calc
ula
te t
he s
tan
dard
err
or.
SE =
σ −
√ $
n =
0.8 −
√ $$
25 =
0.1
6
Th
en
, u
se t
he e
qu
ati
on
above f
or
the 9
9%
con
fid
en
ce i
nte
rval.
99%
con
fid
en
ce i
nte
rval = −
x ± 2
.58
SE
= 5
.2 ± 2
.58(0
.16) =
5.2
± 0
.4128
Th
e 9
9%
con
fid
en
ce i
nte
rval
is 4
.7872 t
o 5
.6128.
Th
is m
ean
s w
e c
an
be 9
9%
su
re t
hat
the
pop
ula
tion
mean
is
betw
een
4.7
872 a
nd
5.6
128.
Exerc
ises
Fin
d t
he s
tan
da
rd
erro
r o
f th
e m
ea
n f
or e
ach
da
ta s
et.
1. {3
06,
313,
301,
293,
326,
315}
2. {0
.50,
0.4
3,
0.2
7,
0.6
4,
0.6
2,
0.6
0}
≈ 4
.31
≈
0.5
3
3. C
HEESE
T
he l
oca
l su
perm
ark
et
pack
ages
fresh
ch
eese
in
refr
igera
ted
case
s fo
r it
s cu
stom
ers
’ co
nven
ien
ce.
Th
e w
eig
hts
of
the p
ack
ages
of
parm
esa
n c
urr
en
tly i
n t
he c
ase
, in
ou
nce
s, a
re:
{14,
12,
16,
17,
12,
16,
14,
19,
15}.
a.
Fin
d t
he s
tan
dard
err
or
for
the m
ean
for
the d
ata
set.
≈
0.7
2
b.
Fin
d t
he 9
5%
con
fid
en
ce i
nte
rval
for
the m
ean
. ≈
13.5
9 t
o ≈
16.4
1
4. C
HIL
D C
AR
E T
he s
tan
dard
devia
tion
of
the a
ges
of
the c
hil
dre
n a
t th
e H
ap
py S
mil
es
Ch
ild
Care
Cen
ter
is 1
.2 y
ears
. T
he m
ean
age o
f a s
am
ple
of
9 c
hil
dre
n w
as
7.4
years
.
a.
Fin
d t
he 9
5%
con
fid
en
ce i
nte
rval
for
the m
ean
. 6.6
16 t
o 8
.184
b.
How
man
y c
hil
dre
n m
ust
be i
ncl
ud
ed
in
th
e s
am
ple
to b
e 9
5%
cert
ain
th
at
the
est
imate
of
the m
ean
has
an
err
or
of
plu
s or
min
us
0.5
years
?
En
rich
men
t
Sta
nd
ard
Erro
r a
nd
Co
nfi
den
ce L
imit
s
Exam
ple
at
least
23 c
hild
ren
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-4
Ch
ap
ter
12
23
Gle
ncoe A
lgeb
ra 1
12-4
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n
Perm
uta
tio
ns a
nd
Co
mb
inati
on
s
Perm
utatio
ns
An
arr
an
gem
en
t or
list
ing i
n w
hic
h o
rder
or
pla
cem
en
t is
im
port
an
t is
ca
lled
a p
erm
uta
tio
n.
For
exam
ple
, th
e a
rran
gem
en
t A
B o
f ch
oic
es
A a
nd
B i
s d
iffe
ren
t fr
om
th
e a
rran
gem
en
t B
A o
f th
ese
sam
e t
wo c
hoic
es.
Perm
uta
tio
ns
P(n
, r) =
n! −
(n - r
)!
F
ind
P(6
, 2).
P(n
, r)
=
n! −
(n -
r)!
Definitio
n o
f p
(n,
r)
P(6
, 2) =
6! −
(6 -
2)!
n =
6,
r =
2
= 6
! −
4!
S
implif
y.
= 6
· 5
· 4
· 3
· 2
· 1
−−
4 ·
3 ·
2 ·
1
D
efinitio
n o
f fa
cto
rial
=
6 ·
5 o
r 30
Sim
plif
y.
Th
ere
are
30 p
erm
uta
tion
s of
6 o
bje
cts
tak
en
2 a
t a t
ime.
PA
SSW
OR
DS
A s
pecif
ic p
ro
gra
m r
eq
uir
es t
he u
ser t
o e
nte
r a
5-d
igit
pa
ssw
ord
. T
he d
igit
s c
an
no
t rep
ea
t a
nd
ca
n b
e a
ny
fiv
e o
f th
e d
igit
s
1,
2,
3,
4,
7,
8,
an
d 9
.
a.
Ho
w m
an
y d
iffe
ren
t p
assw
ord
s a
re p
ossib
le?
P
(n,
r) =
n! −
(n -
r)!
P
(7,
5) =
7! −
(7 -
5)!
=
7 ·
6 ·
5 ·
4 ·
3 ·
2 ·
1
−−
2 ·
1
=
7 ·
6 ·
5 ·
4 ·
3 o
r 2520
Th
ere
are
2520 w
ays
to c
reate
a p
ass
word
.
b.
Wh
at
is t
he p
ro
ba
bil
ity
th
at
the f
irst
two
dig
its
are o
dd
nu
mb
ers w
ith
th
e o
ther d
igit
s a
ny
of
the r
em
ain
ing
nu
mb
ers?
P
(fir
st t
wo d
igit
s od
d) =
nu
mber
of
favora
ble
ou
tcom
es
−−
nu
mber
of
poss
ible
ou
tcom
es
S
ince
th
ere
are
4 o
dd
dig
its,
th
e n
um
ber
of
choic
es
for
the f
irst
dig
it i
s 4,
an
d t
he n
um
ber
of
choic
es
for
the s
eco
nd
dig
it i
s 3.
Th
en
th
ere
are
5 c
hoic
es
left
for
the t
hir
d d
igit
, 4 f
or
the f
ou
rth
, an
d 3
for
the f
ifth
, so
th
e n
um
ber
of
favora
ble
ou
tcom
es
is 4
· 3
· 5
· 4
· 3
, or
720.
T
he p
robabil
ity i
s 7
20 −
2520 ≈
28.6
%.
Exerc
ises
Ev
alu
ate
ea
ch
ex
pressio
n.
1.
P(7
, 4)
2. P
(12,
7)
3. [P
(9,
9)]
[P(1
6,
2)]
840
3,9
91,6
80
87,0
91,2
00
4. C
LU
BS
A
clu
b w
ith
ten
mem
bers
wan
ts t
o c
hoose
a p
resi
den
t, v
ice-p
resi
den
t, s
ecr
eta
ry,
an
d t
reasu
rer.
Six
of
the m
em
bers
are
wom
en
, an
d f
ou
r are
men
.
a
. H
ow
man
y d
iffe
ren
t se
ts o
f off
icers
are
poss
ible
? 5040
b
. W
hat
is t
he p
robabil
ity t
hat
all
off
icers
wil
l be w
om
en
. 7.1
%
Exam
ple
1
Exam
ple
2
Answers (Lesson 12-3 and Lesson 12-4)
Answers
Co
pyri
gh
t ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f T
he M
cG
raw
-Hill C
om
pan
ies,
Inc.
Chapter 12 A11 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
24
Gle
ncoe A
lgeb
ra 1
12-4
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n (c
on
tin
ued
)
Perm
uta
tio
ns a
nd
Co
mb
inati
on
s
Co
mb
inatio
ns
An
arr
an
gem
en
t or
list
ing i
n w
hic
h o
rder
is n
ot
imp
ort
an
t is
call
ed
a
com
bin
ati
on
. F
or
exam
ple
, A
B a
nd
BA
are
th
e s
am
e c
om
bin
ati
on
of
A a
nd
B.
Co
mb
inati
on
sC
(n,
r) =
n! −
(n -
r)!
r!
A
clu
b w
ith
ten
mem
bers w
an
ts t
o c
ho
ose a
co
mm
itte
e o
f fo
ur
mem
bers.
Six
of
the m
em
bers a
re w
om
en
, a
nd
fo
ur a
re m
en
.
a.
Ho
w m
an
y d
iffe
ren
t co
mm
itte
es a
re p
ossib
le?
C
(n,
r) =
n
! −
(n -
r)!
r!
Definitio
n o
f com
bin
ation
=
10! −
(10 -
4)!
4!
n =
10,
r =
4
= 1
0 ·
9 ·
8 ·
7 −
4!
D
ivid
e b
y t
he G
CF
6!.
=
210
Sim
plif
y.
T
here
are
210 w
ays
to c
hoose
a c
om
mit
tee o
f fo
ur
wh
en
ord
er
is n
ot
imp
ort
an
t.
b.
If t
he c
om
mit
tee i
s c
ho
sen
ra
nd
om
ly,
wh
at
is t
he p
ro
ba
bil
ity
th
at
two
mem
bers
of
the c
om
mit
tee a
re m
en
?
T
here
are
C(4
, 2)
4! −
(4 -
2)!
2! =
6 w
ays
to c
hoose
tw
o m
en
ran
dom
ly,
an
d t
here
are
C
(6,
2) =
6! −
(6 -
4)!
4! =
15 w
ays
to c
hoose
tw
o w
om
en
ran
dom
ly.
By t
he F
un
dam
en
tal
Cou
nti
ng P
rin
cip
le,
there
are
6 ·
15 o
r 90 w
ays
to c
hoose
a c
om
mit
tee w
ith
tw
o m
en
an
d
two w
om
en
.
Pro
babil
ity (
2 m
en
an
d 2
wom
en
) = n
um
ber
of
favora
ble
ou
tcom
es
−−
nu
mber
of
poss
ible
ou
tcom
es
= 9
0 −
210 o
r abou
t 42.9
%
Exerc
ises
Ev
alu
ate
ea
ch
ex
pressio
n.
1.
C(7
, 3)
35
2. C
(12,
8)
495
3. C
(9,
9)
1
4. C
OM
MIT
TEES
In
how
man
y w
ays
can
a c
lub w
ith
9 m
em
bers
ch
oose
a t
wo-m
em
ber
sub-c
om
mit
tee?
36
5. B
OO
K C
LU
BS
A
book
clu
b o
ffers
its
mem
bers
a b
ook
each
mon
th f
or
a y
ear
from
a
sele
ctio
n o
f 24 b
ook
s. T
en
of
the b
ook
s are
bio
gra
ph
ies
an
d 1
4 o
f th
e b
ook
s are
fic
tion
.
a.
How
man
y w
ays
cou
ld t
he m
em
bers
sele
ct 1
2 b
ook
s? 2,7
04,1
56
b.
Wh
at
is t
he p
robabil
ity t
hat
5 b
iogra
ph
ies
an
d 7
fic
tion
book
s w
ill
be c
hose
n?
ab
ou
t 32%
Exam
ple
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-4
Ch
ap
ter
12
25
Gle
ncoe A
lgeb
ra 1
12-4
Sk
ills
Pra
ctic
e
Perm
uta
tio
ns a
nd
Co
mb
inati
on
s
Use t
he F
un
da
men
tal
Co
un
tin
g P
rin
cip
le t
o e
va
lua
te e
ach
of
the f
oll
ow
ing
.
1. SC
HO
OL P
LA
Y Jose
ph
an
d e
igh
t fr
ien
ds
are
att
en
din
g t
he s
chool
pla
y.
How
man
y
ways
can
Jose
ph
an
d h
is f
rien
ds
sit
in 9
em
pty
seats
? 362,8
80
2. V
IDEO
S S
an
jay i
s arr
an
gin
g h
is 6
favori
te v
ideos
on
a s
helf
. In
how
man
y w
ays
can
he d
o t
his
? 720
Ev
alu
ate
ea
ch
ex
pressio
n.
3.
P(5
, 2)
20
4. P
(6,
4)
360
5. P
(7,
3)
210
6.
P(9
, 4)
3024
7. P
(7,
5)
2520
8. P
(5,
3)
60
9.
C(6
, 2)
15
10. C
(9,
7)
36
11. C
(8,
4)
70
12. C
(7,
5)
21
13. C
(12,
2)
66
14. C
(13,
7)
1716
15. C
(11,
2)
55
16. P
(5,
4)
120
17. C
(14,
5)
2002
18. C
(11,
6)
462
19. P
(4,
2)
12
20. C
(8,
6)
28
Answers (Lesson 12-4)
Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A12 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
26
Gle
ncoe A
lgeb
ra 1
12-4
Practi
ce
Perm
uta
tio
ns a
nd
Co
mb
inati
on
s
Use t
he F
un
da
men
tal
Co
un
tin
g P
rin
cip
le t
o e
va
lua
te e
ach
of
the f
oll
ow
ing
.
1. ER
RA
ND
S W
esl
ey n
eed
s to
sto
p a
t 6 s
tore
s on
th
e w
ay h
om
e f
rom
work
. H
ow
man
y
ways
can
Wesl
ey a
rran
ge t
he 6
sto
ps
he n
eed
s to
mak
e?
720
2. V
OTIN
G T
here
are
8 p
eop
le w
ait
ing i
n l
ine t
o c
ast
th
eir
vote
s. H
ow
man
y w
ays
can
th
e
pep
ole
lin
e u
p t
o v
ote
? 40,3
20
Ev
alu
ate
ea
ch
ex
pressio
n.
3. P
(11,
3)
990
4. P
(6,
3)
120
5. P
(15,
3)
2730
6. C
(10,
9)
10
7. C
(12,
9)
220
8. C
(7,
3)
35
9. C
(7,
4)
35
10. C
(12,
4)
495
11. P
(13,
3)
1716
12. C
(16,
12)
1820
13. C
(17,
2)
136
14. C
(16,
15)
16
15. P
(20,
5)
1,8
60,4
80
16. P
(11,
7)
1,6
63,2
00
17. P
(13,
1)
13
18. C
(19,
16)
969
19. P
(15,
4)
32,7
60
20. C
(14,
7)
3432
21. SPO
RTS
In
how
man
y o
rders
can
th
e t
op
fiv
e f
inis
hers
in
a r
ace
fin
ish
? 120
22. JU
DIC
IAL P
RO
CED
UR
E T
he c
ou
rt s
yst
em
in
a c
om
mu
nit
y n
eed
s to
ass
ign
3 o
ut
of
8 j
ud
ges
to a
dock
et
of
crim
inal
case
s. F
ive o
f th
e j
ud
ges
are
male
an
d t
hre
e a
re f
em
ale
.
a.
Does
the s
ele
ctio
n o
f ju
dges
involv
e a
perm
uta
tion
or
a c
om
bin
ati
on
? co
mb
inati
on
b.
In h
ow
man
y w
ays
cou
ld t
hre
e j
ud
ges
be c
hose
n?
56
c.
If t
he j
ud
ges
are
ch
ose
n r
an
dom
ly,
wh
at
is t
he p
robabil
ity t
hat
all
3 j
ud
ges
are
male
? 5
−
28 , o
r ab
ou
t 18%
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-4
Ch
ap
ter
12
27
Gle
ncoe A
lgeb
ra 1
12-4
Wo
rd
Pro
ble
m P
racti
ce
Perm
uta
tio
ns a
nd
Co
mb
inati
on
s
1. C
HO
RES
In
Ash
ley’s
fam
ily t
here
are
4
chil
dre
n a
nd
th
eir
moth
er
an
d f
ath
er.
If
two o
f th
e s
ix m
ust
help
cle
ar
the t
able
aft
er
din
ner,
how
man
y w
ays
can
tw
o
peop
le b
e p
air
ed
? 15
2. PU
BLIC
SER
VIC
E A
cou
nty
com
pu
ter
ran
dom
ly s
ele
cts
juro
rs f
rom
th
e l
aw
yer-
ap
pro
ved
pote
nti
al
juro
r li
st.
How
man
y
ways
are
th
ere
for
12 j
uro
rs t
o b
e c
hose
n
from
a p
ool
of
20?
125,9
70
Po
ten
tial
Ju
rors
Fre
dJennifer
Sally
Carla
Mik
eS
am
Tom
Sylv
ia
Maria
Jam
al
Ted
Gre
g
Carlos
Todd
Doro
thy
Laure
n
Irene
Maya
Trish
Luke
3. SPO
RTS
H
an
s’ b
ask
etb
all
team
d
eci
des
to c
hoose
tw
o c
ap
tain
s each
w
eek
so t
hat
man
y p
layers
get
the
chan
ce t
o b
e c
ap
tain
. E
ach
week
, each
of
the 1
1 p
layers
wri
tes
his
nam
e o
n a
sl
ip o
f p
ap
er.
Th
e p
ap
ers
are
th
en
p
lace
d i
n a
con
tain
er
an
d m
ixed
. T
he
last
week
’s c
ap
tain
s d
raw
tw
o s
lip
s of
pap
er
from
th
e c
on
tain
er;
th
ese
tw
o
peop
le a
re c
ap
tain
s fo
r th
e f
oll
ow
ing
week
. H
ow
man
y d
iffe
ren
t p
air
s of
cap
tain
s ca
n b
e f
orm
ed
? 55
4.P
UZ
ZLE
S A
pop
ula
r n
ew
spap
er
pu
zzle
in
volv
es
a s
eri
es
of
lett
ers
th
at
can
be
rearr
an
ged
to f
orm
a w
ord
. W
ill
is
wri
tin
g h
is o
wn
vers
ion
of
the g
am
e f
or
a
sch
ool
pro
ject
. H
e w
an
ts t
o s
cram
ble
th
e
foll
ow
ing w
ord
for
his
pu
zzle
.
numbers
How
man
y w
ays
are
th
ere
to a
rran
ge
the l
ett
ers
wit
h t
he l
ett
er b
as
the f
irst
lett
er?
720
5. H
OR
SE R
AC
ING
In
th
e 1
33rd
ru
nn
ing
of
the K
en
tuck
y D
erb
y i
n 2
007,
there
w
ere
22 c
on
ten
ders
.
a.
How
man
y d
iffe
ren
t w
ays
can
th
e
hors
es
fin
ish
th
e r
ace
?
22!
b.
How
man
y d
iffe
ren
t w
ays
can
hors
es
pla
ce f
irst
, se
con
d,
an
d t
hir
d?
6840
c.
If a
ll 2
2 h
ors
es
have a
n e
qu
al
chan
ce
of
win
nin
g a
nd
3 o
f th
e h
ors
es
are
fe
male
, w
hat
is t
he p
robabil
ity t
hat
a
fem
ale
hors
e p
lace
s fi
rst,
seco
nd
, an
d
thir
d?
6
−
22!
Answers (Lesson 12-4)
Answers
Co
pyri
gh
t ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f T
he M
cG
raw
-Hill C
om
pan
ies,
Inc.
Chapter 12 A13 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
28
Gle
ncoe A
lgeb
ra 1
12-4
En
rich
men
t
A G
reat
Piz
za D
eal
A t
ele
vis
ion
com
merc
ial
ad
vert
ised
a p
izza d
eal
in w
hic
h c
ust
om
ers
cou
ld c
hoose
tw
o p
izzas
each
wit
h u
p t
o f
ive t
op
pin
gs
chose
n f
rom
a s
et
of
ele
ven
top
pin
gs.
On
th
e c
om
merc
ial,
a b
oy
claim
s th
at
there
are
1024
2 o
r 1,0
48,5
76 w
ays
for
the c
ust
om
er
to c
hoose
th
e t
wo p
izzas.
Is
this
a v
ali
d c
laim
?
Fo
r a lim
ited
tim
e, yo
u c
an
ch
oo
se 2
piz
zas w
ith
up
to
5 t
op
pin
gs f
or
on
ly
Piz
za D
eal!
!
$7.9
9!!
!!!!
!
To
pp
ing
Pep
pero
ni
Sau
sage
Tom
ato
Gre
en o
lives
Bla
ck o
lives
Mus
hroo
ms
Ext
ra C
hees
e
Pep
pers
Oni
ons
Pin
eapp
le
Ham
Yes
No
1. S
up
pose
th
e c
ust
om
er
can
have a
s m
an
y t
op
pin
gs,
up
to e
leven
, as
desi
red
. U
sin
g
cou
nti
ng t
ech
niq
ues,
how
man
y d
iffe
ren
t w
ays
can
th
e p
izzas
be m
ad
e?
(Hin
t: I
magin
e
that
the c
ust
om
er
has
to c
hoose
“yes”
or
“no”
for
each
top
pin
g.)
2
11 o
r 2048
2. U
se c
om
bin
ati
on
s to
dete
rmin
e h
ow
man
y w
ays
the c
ust
om
er
can
mak
e o
ne p
izza w
ith
up
to f
ive t
op
pin
gs.
C
(11,
0)
+ C
(11,
1)
+ C
(11,
2)
+ C
(11,
3)
+ C
(11,
4)
+
C(1
1,
5)
or
1024
3. H
ow
man
y w
ays
can
th
e t
wo p
izzas
be b
uil
t if
th
e t
hey a
re i
den
tica
l? 1024
4. H
ow
man
y w
ays
can
th
e t
wo p
izzas
be b
uil
t if
th
e t
hey a
re d
iffe
ren
t? (
Hin
t:
Use
th
e
tota
l n
um
ber
of
ways
that
on
e p
izza c
an
be m
ad
e f
rom
pro
ble
m 2
an
d t
hen
ch
oose
2 o
f
those
poss
ibil
itie
s.)
Sh
ou
ld y
ou
use
a c
om
bin
ati
on
or
a p
erm
uta
tion
? co
mb
inati
on
; C
(1024,
2)
or
523,7
76
5. A
dd
th
e r
esu
lts
from
pro
ble
ms
3 a
nd
4 t
o d
ete
rmin
e t
he t
ota
l n
um
ber
of
ways
to m
ak
e
two p
izzas
wit
h u
p t
o f
ive t
op
pin
gs
each
. 524,8
00
6. T
he b
oy i
n t
he a
d c
laim
s th
at
the c
ust
om
er
has
1024
2 c
hoic
es.
Wh
at
is 1
024
2?
How
does
this
com
pare
to t
he c
laim
mad
e b
y t
he b
oy i
n t
he a
dvert
isem
en
t? 1,0
48,5
76;
Yo
u
actu
ally h
ave a
lo
t fe
wer
ch
oic
es t
han
th
e b
oy c
laim
s.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-5
Ch
ap
ter
12
29
Gle
ncoe A
lgeb
ra 1
12-5
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n
Pro
bab
ilit
y o
f C
om
po
un
d E
ven
ts
Ind
ep
en
den
t an
d D
ep
en
den
t Even
ts
Co
mp
ou
nd
ev
en
ts a
re m
ad
e u
p o
f tw
o o
r m
ore
sim
ple
even
ts.
Th
e e
ven
ts c
an
be i
nd
ep
en
den
t ev
en
ts o
r th
ey c
an
be d
ep
en
den
t ev
en
ts.
Pro
bab
ilit
y o
f In
dep
en
den
t E
ven
ts
Outc
om
e o
f firs
t event
does
not
affect
outc
om
e o
f second.
P(A
and B
) =
P(A
)
P(B
)
Exam
ple
: ro
lling a
6 o
n a
die
and
then r
olli
ng a
5
Pro
bab
ilit
y o
f D
ep
en
den
t E
ven
ts
Outc
om
e o
f firs
t event
does
affect
outc
om
e o
f second.
P(A
and B
) =
P(A
)
P(B
follo
win
g A
)
Exam
ple
: w
ithout
repla
cin
g t
he
firs
t card
, choosin
g a
n a
ce a
nd
then a
kin
g f
rom
a d
eck o
f card
s
F
ind
th
e p
ro
ba
bil
ity
tha
t y
ou
wil
l ro
ll a
six
an
d t
hen
a
fiv
e w
hen
yo
u r
oll
a d
ie t
wic
e.
By t
he d
efi
nit
ion
of
ind
ep
en
den
t even
ts, P
(A a
nd
B) =
P(A
) P
(B)
Fir
st r
oll
: P
(6) =
1
−
6
Seco
nd
roll
: P
(5) =
1
−
6
P(6
an
d 5
) =
P(6
) P
(5)
= 1
−
6
1
−
6
=
1
−
36
Th
e p
robabil
ity t
hat
you
wil
l ro
ll a
six
an
d t
hen
roll
a f
ive i
s 1
−
36 .
A
ba
g c
on
tain
s 3
red
ma
rb
les,
2 g
reen
ma
rb
les,
an
d 4
blu
e
ma
rb
les.
Tw
o m
arb
les a
re d
ra
wn
ra
nd
om
ly
fro
m t
he b
ag
an
d n
ot
rep
laced
. F
ind
th
e
pro
ba
bil
ity
th
at
bo
th m
arb
les a
re b
lue.
By t
he d
efi
nit
ion
of
dep
en
den
t even
ts,
P(A
an
d B
) =
P(A
) P
(B f
oll
ow
ing A
)
Fir
st m
arb
le: P
(blu
e) =
4
−
9
Seco
nd
marb
le: P
(blu
e) =
3
−
8
P(b
lue,
blu
e) =
4
−
9
3
−
8
= 1
2
−
72
= 1
−
6
Th
e p
robabil
ity o
f d
raw
ing t
wo b
lue m
arb
les
is 1
−
6 .
Exerc
ises
A b
ag
co
nta
ins 3
red
, 4 b
lue,
an
d 6
yell
ow
ma
rb
les.
On
e m
arb
le i
s s
ele
cte
d a
t a
tim
e,
an
d o
nce a
ma
rb
le i
s s
ele
cte
d,
it i
s n
ot
rep
laced
. F
ind
ea
ch
pro
ba
bil
ity
.
1.
P(2
yell
ow
) 5
−
26
2. P
(red
, yell
ow
) 3
−
26
3. P
(blu
e,
red
, yell
ow
)
6
−
143
4. G
eorg
e h
as
two r
ed
sock
s an
d t
wo w
hit
e s
ock
s in
a d
raw
er.
Wh
at
is t
he p
robabil
ity o
f p
ick
ing a
red
sock
an
d a
wh
ite s
ock
in
th
at
ord
er
if t
he f
irst
sock
is
not
rep
lace
d?
5. P
hyll
is d
rop
s a p
en
ny i
n a
pon
d,
an
d t
hen
sh
e d
rop
s a n
ick
el
in t
he p
on
d.
Wh
at
is t
he
pro
babil
ity t
hat
both
coin
s la
nd
wit
h t
ail
s sh
ow
ing?
6. A
die
is
roll
ed
an
d a
pen
ny i
s d
rop
ped
. F
ind
th
e p
robabil
ity o
f ro
llin
g a
tw
o a
nd
sh
ow
ing
a t
ail
.
Exam
ple
1Exam
ple
2
1
−
4
1
−
3
1
−
12
Answers (Lesson 12-4 and Lesson 12-5)
Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A14 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
30
Gle
ncoe A
lgeb
ra 1
12-5
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n (c
on
tin
ued
)
Pro
bab
ilit
y o
f C
om
po
un
d E
ven
ts
Mu
tually E
xcl
usi
ve a
nd
In
clu
sive E
ven
ts
Even
ts t
hat
can
not
occ
ur
at
the s
am
e
tim
e a
re c
all
ed
mu
tuall
y e
xcl
usi
ve.
If t
wo e
ven
ts a
re n
ot
mu
tuall
y e
xcl
usi
ve,
they a
re c
all
ed
in
clu
sive.
Pro
bab
ilit
y o
f M
utu
ally
Exclu
siv
e E
ven
tsP
(A o
r B
) =
P(A
) +
P(B
)P
(rolli
ng a
2 o
r a 3
on a
die
) =
P(2
) +
P(3
) =
1 −
3
Pro
bab
ilit
y o
f
Inclu
siv
e E
ven
ts
P(A
or
B) =
P(A
) +
P(B
) -
P(A
and B
)P
(kin
g o
r heart
) =
P(K
) +
P(H
) -
P(K
and H
) =
9 −
26
A
ca
rd
is d
ra
wn
fro
m a
sta
nd
ard
deck
of
pla
yin
g c
ard
s.
Fin
d t
he
pro
ba
bil
ity
of
dra
win
g a
kin
g o
r a
qu
een
.
Dra
win
g a
kin
g o
r a q
ueen
are
mu
tuall
y e
xcl
usi
ve e
ven
ts.
By t
he d
efi
nit
ion
of
mu
tuall
y e
xcl
usi
ve e
ven
ts,
P(A
or
B) =
P(A
) +
P(B
).
P(A
) =
P(k
ing) =
4 −
52 =
1 −
13
P(B
) =
P(q
ueen
) =
4 −
52 =
1 −
13
P(k
ing o
r qu
een
) =
1 −
13 +
1 −
13
=
2 −
13
Th
e p
robabil
ity o
f d
raw
ing a
kin
g o
r a q
ueen
is
2 −
13 .
Exerc
ises
A b
ag
co
nta
ins 2
red
, 5 b
lue,
an
d 7
yell
ow
ma
rb
les.
Fin
d e
ach
pro
ba
bil
ity
.
1.
P(y
ell
ow
or
red
) 9
−
14
2.
P(r
ed
or
not
yell
ow
) 1
−
2
3. P
(blu
e o
r re
d o
r yell
ow
) 1
A c
ard
is d
ra
wn
fro
m a
sta
nd
ard
deck
of
pla
yin
g c
ard
s.
Fin
d e
ach
pro
ba
bil
ity
.
4.
P(j
ack
or
red
) 7
−
13
5. P
(red
or
bla
ck)
1
6.
P(j
ack
or
clu
bs)
4
−
13
7. P
(qu
een
or
less
th
an
3)
3
−
13
8.
P(5
or
6)
2
−
13
9. P
(dia
mon
d o
r sp
ad
e)
1
−
2
10. In
a m
ath
cla
ss,
12 o
ut
of
15 g
irls
are
14 y
ears
old
an
d 1
4 o
ut
of
17 b
oys
are
14 y
ears
old
. W
hat
is t
he p
robabil
ity o
f se
lect
ing a
gir
l or
a 1
4-y
ear
old
fro
m t
his
cla
ss?
Exam
ple
29
−
32
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-5
Ch
ap
ter
12
31
Gle
ncoe A
lgeb
ra 1
12-5
Sk
ills
Pra
ctic
e
Pro
bab
ilit
y o
f C
om
po
un
d E
ven
tsA
ba
g c
on
tain
s 2
green
, 9 b
ro
wn
, 7 y
ell
ow
, a
nd
4 b
lue m
arb
les.
On
ce a
ma
rb
le i
s
sele
cte
d,
it i
s n
ot
rep
laced
. F
ind
ea
ch
pro
ba
bil
ity
.
1. P
(bro
wn
, th
en
yell
ow
) 3
−
22
2. P
(gre
en
, th
en
blu
e)
4
−
231
3. P
(yell
ow
, th
en
yell
ow
) 1
−
11
4. P
(blu
e,
then
blu
e)
2
−
77
5. P
(gre
en
, th
en
not
blu
e)
17
−
231
6. P
(bro
wn
, th
en
not
gre
en
) 5
7
−
154
A d
ie i
s r
oll
ed
an
d a
sp
inn
er l
ike t
he o
ne a
t
the r
igh
t is
sp
un
. F
ind
ea
ch
pro
ba
bil
ity
.
7.
P(4
an
d A
) 1
−
24
8.
P(a
n e
ven
nu
mber
an
d C
) 1
−
8
9.
P(2
or
5 a
nd
B o
r D
) 1
−
6
10.
P(a
nu
mber
less
th
an
5 a
nd
B,
C,
or
D)
1
−
2
A c
ard
is b
ein
g d
ra
wn
fro
m a
sta
nd
ard
deck
of
pla
yin
g c
ard
s. D
ete
rm
ine w
heth
er t
he
ev
en
ts a
re m
utu
all
y e
xclu
sive o
r n
ot
mu
tua
lly
ex
clu
siv
e. T
hen
fin
d t
he p
ro
ba
bil
ity
.
11. P
(jack
or
ten
) m
utu
ally e
xclu
siv
e;
2
−
13
12.
P(r
ed o
r bla
ck)
mu
tually e
xclu
siv
e; 1
13. P
(qu
een
or
clu
b)
no
t;
4
−
13
14.
P(r
ed
or
ace
) n
ot;
7
−
13
15. P
(dia
mon
d o
r bla
ck)
mu
tually e
xclu
siv
e;
3
−
4
16.
P(f
ace
card
or
spad
e)
n
ot;
1
1
−
26
Til
es n
um
bered
1 t
hro
ug
h 2
0 a
re p
laced
in
a b
ox
. T
iles n
um
bered
11 t
hro
ug
h 3
0
are p
laced
in
a s
eco
nd
bo
x.
Th
e f
irst
tile
is r
an
do
mly
dra
wn
fro
m t
he f
irst
bo
x.
Th
e s
eco
nd
til
e i
s r
an
do
mly
dra
wn
fro
m t
he s
eco
nd
bo
x.
Fin
d e
ach
pro
ba
bil
ity
.
17. P
(both
are
gre
ate
r th
an
15)
3
−
16
18. T
he f
irst
til
e i
s od
d a
nd
th
e s
eco
nd
til
e i
s le
ss t
han
25.
7
−
20
19. T
he f
irst
til
e i
s a m
ult
iple
of
6 a
nd
th
e s
eco
nd
til
e i
s a m
ult
iple
of
4.
3
−
80
20. T
he f
irst
til
e i
s le
ss t
han
15 a
nd
th
e s
eco
nd
til
e i
s even
or
gre
ate
r th
an
25.
21
−
50
A C
BD
Answers (Lesson 12-5)
Answers
Co
pyri
gh
t ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f T
he M
cG
raw
-Hill C
om
pan
ies,
Inc.
Chapter 12 A15 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
32
Gle
ncoe A
lgeb
ra 1
Practi
ce
Pro
bab
ilit
y o
f C
om
po
un
d E
ven
tsA
ba
g c
on
tain
s 5
red
, 3 b
ro
wn
, 6 y
ell
ow
, a
nd
2 b
lue m
arb
les.
On
ce a
ma
rb
le i
s
sele
cte
d,
it i
s n
ot
rep
laced
. F
ind
ea
ch
pro
ba
bil
ity
.
1. P
(bro
wn
, th
en
yell
ow
, th
en
red
)
3
−
112
2. P
(red
, th
en
red
, th
en
blu
e)
1
−
84
3. P
(yell
ow
, th
en
yell
ow
, th
en
not
blu
e)
3
−
28
4. P
(bro
wn
, th
en
bro
wn
, th
en
not
yell
ow
) 1
−
70
A d
ie i
s r
oll
ed
an
d a
ca
rd
is d
ra
wn
fro
m a
sta
nd
ard
deck
of
52 c
ard
s.
Fin
d e
ach
pro
ba
bil
ity
.
5. P
(6 a
nd
kin
g)
1
−
78
6. P
(od
d n
um
ber
an
d b
lack
) 1
−
4
7. P
(less
th
an
3 a
nd
heart
) 1
−
12
8. P
(gre
ate
r th
an
1 a
nd
bla
ck a
ce)
5
−
156
A c
ard
is b
ein
g d
ra
wn
fro
m a
sta
nd
ard
deck
of
pla
yin
g c
ard
s.
Dete
rm
ine w
heth
er
the e
ven
ts a
re m
utu
all
y e
xclu
siv
e o
r n
ot
mu
tua
lly
ex
clu
siv
e.
Th
en
fin
d t
he
pro
ba
bil
ity
.
9. P
(sp
ad
e o
r n
um
bere
d c
ard
) 4
3
−
52
10. P
(ace
or
red
qu
een
) 3
−
26
11. P
(red
or not
face
card
) 2
3
−
26
12. P
(heart
or not
qu
een
) 4
9
−
52
Til
es n
um
bered
1 t
hro
ug
h 2
5 a
re p
laced
in
a b
ox
. T
iles n
um
bered
11 t
hro
ug
h 3
0
are p
laced
in
a s
eco
nd
bo
x.
Th
e f
irst
tile
is r
an
do
mly
dra
wn
fro
m t
he f
irst
bo
x.
Th
e s
eco
nd
til
e i
s r
an
do
mly
dra
wn
fro
m t
he s
eco
nd
bo
x.
Fin
d e
ach
pro
ba
bil
ity
.
13. P
(both
are
gre
ate
r th
an
15 a
nd
less
th
an
20)
4
−
125
14. T
he f
irst
til
e i
s gre
ate
r th
an
10 a
nd
th
e s
eco
nd
til
e i
s le
ss t
han
25 o
r even
. 5
1
−
100
15. T
he f
irst
til
e i
s a m
ult
iple
of
3 o
r p
rim
e a
nd
th
e s
eco
nd
til
e i
s a m
ult
iple
of
5.
16
−
125
16. T
he f
irst
til
e i
s le
ss t
han
9 o
r od
d a
nd
th
e s
eco
nd
til
e i
s a m
ult
iple
of
4 o
r le
ss t
han
21.
51
−
125
17. W
EA
TH
ER
T
he f
ore
cast
pre
dic
ts a
40%
ch
an
ce o
f ra
in o
n T
uesd
ay a
nd
a 6
0%
ch
an
ce o
n
Wed
nesd
ay.
If t
hese
pro
babil
itie
s are
in
dep
en
den
t, w
hat
is t
he c
han
ce t
hat
it w
ill
rain
on
both
days?
24%
18. FO
OD
T
om
aso
pla
ces
favori
te r
eci
pes
in a
bag f
or
4 p
ast
a d
ish
es,
5 c
ass
ero
les,
3 t
yp
es
of
chil
i, a
nd
8 d
ess
ert
s.
a.
If T
om
aso
ch
oose
s on
e r
eci
pe a
t ra
nd
om
, w
hat
is t
he p
robabil
ity t
hat
he s
ele
cts
a
past
a d
ish
or
a c
ass
ero
le?
9
−
20
b.
If T
om
aso
ch
oose
s on
e r
eci
pe a
t ra
nd
om
, w
hat
is t
he p
robabil
ity t
hat
he d
oes not
sele
ct a
dess
ert
? 3
−
5
c.
If T
om
aso
ch
oose
s tw
o r
eci
pes
at
ran
dom
wit
hou
t re
pla
cem
en
t, w
hat
is t
he p
robabil
ity
that
the f
irst
reci
pe h
e s
ele
cts
is a
cass
ero
le a
nd
th
e s
eco
nd
reci
pe h
e s
ele
cts
is a
d
ess
ert
? 2
−
19
12-5
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-5
Ch
ap
ter
12
33
Gle
ncoe A
lgeb
ra 1
Wo
rd
Pro
ble
m P
racti
ce
Pro
bab
ilit
y o
f C
om
po
un
d E
ven
ts
1.B
IRTH
DA
YS
O
n J
uan
ita’s
bir
thd
ay,
her
gra
nd
moth
er
sen
ds
her
a c
ard
. W
hat
is
the p
robabil
ity t
hat
the m
an
wh
o
deli
vere
d t
he m
ail
has
a b
irth
day e
ith
er
the s
am
e d
ay o
r on
e d
ay b
efo
re o
r aft
er?
D
isre
gard
Febru
ary
29 a
s a p
oss
ible
bir
thd
ay,
an
d a
ssu
me t
hat
all
days
are
equ
all
y l
ikely
.
≈ 0
.82%
2. SPO
RTS
T
he W
orl
d S
eri
es
is a
“best
of
seven
” gam
e c
ham
pio
nsh
ip i
n w
hic
h u
p
to s
even
gam
es
are
pla
yed
, an
d o
ne t
eam
h
as
to w
in f
ou
r gam
es
to w
in t
he S
eri
es.
In
th
e 2
007 W
orl
d S
eri
es,
th
e B
ost
on
Red
S
ox s
wep
t th
e C
olo
rad
o R
ock
ies,
mean
ing
that
they w
on
th
e s
eri
es
by w
inn
ing t
he
firs
t fo
ur
gam
es.
If
you
ass
um
e t
hat
each
te
am
has
an
equ
al
chan
ce o
f w
inn
ing
each
gam
e,
wh
at
is t
he p
robabil
ity o
f a
Worl
d S
eri
es
sweep
?
0.0
625 o
r 6.2
5%
3. B
USIN
ESS
A
t C
orr
ugate
d P
ack
agin
g,
Inc.
, a t
eam
of
six e
mp
loyees
is i
n c
harg
e
of
mark
eti
ng a
nd
sell
ing t
he c
om
pan
y’s
p
rod
uct
s; t
hre
e a
re w
om
en
an
d t
hre
e a
re
men
. T
he p
resi
den
t of
the c
om
pan
y
deci
des
to s
en
d f
ou
r te
am
mem
bers
to a
n
ati
on
al
card
board
box c
on
fere
nce
. H
e
wan
ts t
o m
ak
e s
ure
he c
hoose
s n
am
es
fair
ly,
so h
e d
eci
des
to p
ut
the n
am
es
of
his
six
sale
s em
plo
yees
in a
hat
an
d d
raw
fo
ur
nam
es
to s
ee w
ho w
ill
go t
o t
he
con
fere
nce
. W
hat
is t
he p
robabil
ity t
hat
the t
eam
wil
l co
nsi
st o
f th
ree w
om
en
an
d
on
e m
an
? 0.2
or
20%
4.M
AG
IC Ir
is p
erf
orm
s a m
agic
tri
ck i
n
wh
ich
sh
e h
old
s a s
tan
dard
deck
of
card
s an
d h
as
each
of
thre
e p
eop
le r
an
dom
ly
choose
a c
ard
fro
m t
he d
eck
. E
ach
pers
on
k
eep
s h
is o
r h
er
card
as
the n
ext
pers
on
d
raw
s. W
hat
is t
he p
robabil
ity t
hat
all
th
ree p
eop
le w
ill
dra
w a
heart
?
0
.0129 o
r 1.2
9%
10
10
5
5
7
7
Q
Q
4
4
K
K
6
6
2
2
J
J
9
9
3
3
A
A
8
8
5. STO
CK
S B
ruce
has
just
pu
rch
ase
d 1
00
share
s of
Ou
t C
lon
e,
Inc.
sto
ck.
Th
e
com
pan
y i
s se
ek
ing F
DA
ap
pro
val
for
a
treatm
en
t th
at
reli
eves
the c
om
mon
cold
. A
ccord
ing t
o p
harm
ace
uti
cal
exp
ert
s,
there
is
a 5
0%
ch
an
ce t
hat
FD
A a
pp
roval
wil
l be g
ran
ted
, an
d a
ccord
ing t
o m
ark
et
insi
ders
th
ere
is
an
85%
ch
an
ce t
he v
alu
e
of
the s
tock
wil
l d
ou
ble
if
FD
A a
pp
roval
is g
ran
ted
.
a.
Wh
at
is t
he p
robabil
ity t
hat
the F
DA
w
ill
ap
pro
ve t
he t
reatm
en
t an
d t
he
valu
e o
f B
ruce
’s i
nvest
men
t w
ill
dou
ble
? 0.4
25 o
r 42.5
%
b.
Wh
at
is t
he p
robabil
ity t
hat
the F
DA
w
ill
ap
pro
ve t
he t
reatm
en
t an
d t
he
valu
e o
f you
r st
ock
wil
l n
ot
dou
ble
?
0.0
75 o
r 7.5
%
c.
Are
th
ese
even
ts d
ep
en
den
t or
ind
ep
en
den
t? D
ep
en
den
t; t
he
pro
bab
ilit
y t
hat
the s
tock p
rice
will
do
ub
le d
ep
en
ds o
n t
he
pro
bab
ilit
y t
hat
the t
reatm
en
t w
ill
be a
pp
roved
.
12-5
Answers (Lesson 12-5)
Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A16 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
34
Gle
ncoe A
lgeb
ra 1
12-5
Hap
py B
irth
day
On
a r
eali
ty s
how
, a c
on
test
an
t m
ust
ran
dom
ly c
hoose
en
ou
gh
peop
le t
o g
o i
nto
a r
oom
so
that
the p
robabil
ity t
hat
at
least
on
e o
f th
ose
peop
le h
as
the s
am
e b
irth
day (
mon
th a
nd
d
ate
) as
the c
on
test
an
t is
gre
ate
r th
an
50%
. T
ime i
s of
the e
ssen
ce,
so t
he c
on
test
an
t d
oesn
’t
wan
t an
y m
ore
peop
le t
han
nece
ssary
. W
hat
nu
mber
of
peop
le s
hou
ld t
he c
on
test
an
t gath
er?
1. M
ak
e a
con
ject
ure
abou
t th
e n
um
ber
of
peop
le n
eed
ed
. A
nsw
ers
will
vary
. A
co
mm
on
gu
ess i
s a
bo
ut
187.
2. W
hen
th
e p
robabil
ity t
hat
every
pers
on
in
th
e r
oom
has
a d
iffe
ren
t bir
thd
ay i
s le
ss t
han
50%
, th
e p
robabil
ity t
hat
two o
f th
em
wil
l sh
are
a b
irth
day i
s gre
ate
r th
an
50%
. E
xp
lain
wh
y.
S
am
ple
An
sw
er:
Becau
se i
f th
e p
rob
ab
ilit
y i
s l
ess t
han
50%
, th
en
th
e c
om
ple
men
t w
ill
be 1
– w
hic
h w
ill
be g
reate
r th
an
50%
.
3. O
bse
rve t
his
patt
ern
:
If
th
ere
are
tw
o p
eop
le i
n t
he r
oom
, th
e p
robabil
ity t
hat
they a
ll h
ave d
iffe
ren
t
bir
thd
ays
is 3
65
−
365 ·
364
−
365 o
r 99.7
%.
If
th
ere
are
th
ree p
eop
le i
n t
he r
oom
, th
e p
robabil
ity t
hat
they a
ll h
ave d
iffe
ren
t
bir
thd
ays
is 3
65
−
365 ·
364
−
365 ·
363
−
365 o
r 99.2
%.
If
th
ere
are
fou
r p
eop
le i
n t
he r
oom
, th
e p
robabil
ity t
hat
they a
ll h
ave d
iffe
ren
t
bir
thd
ays
is 3
65
−
365 ·
364
−
365 ·
363
−
365 ·
362
−
365 o
r 99.2
%.
E
xte
nd
th
is p
att
ern
un
til
you
get
a p
robabil
ity l
ess
th
an
50%
. H
ow
man
y p
eop
le d
o y
ou
need
to g
et
a p
robabil
ity l
ess
th
an
50%
? 24 p
eo
ple
4. S
o,
how
man
y p
eop
le d
o y
ou
need
to h
ave i
n a
room
so t
hat
the p
robabil
ity o
f tw
o o
f th
em
sh
ari
ng a
bir
thd
ay i
s gre
ate
r th
an
50%
? H
ow
does
this
com
pare
to y
ou
r an
swer
to
pro
ble
m 1
? 24 p
eo
ple
; see s
tud
en
ts’
wo
rk.
5. U
se t
he m
eth
od
above t
o d
ete
rmin
e h
ow
man
y p
eop
le w
ou
ld n
eed
to b
e i
n a
room
so t
hat
the p
robabil
ity o
f tw
o o
f th
em
havin
g b
irth
days
on
th
e s
am
e d
ay o
f th
e m
on
th i
s gre
ate
r th
an
50%
. 7 p
eo
ple
En
rich
men
t
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-5
Ch
ap
ter
12
35
Gle
ncoe A
lgeb
ra 1
12-5
TI-
Nsp
ire A
ctiv
ity
Pro
bab
ilit
y o
f C
om
po
un
d E
ven
tsT
he T
I-N
spir
e c
alc
ula
tor
can
be u
sed
to e
valu
ate
perm
uta
tion
s an
d
com
bin
ati
on
s u
sin
g t
he f
un
ctio
ns
nP
r a
nd
nC
r,
resp
ect
ively
.
a. P
(8,
3)
Calc
ula
te t
he n
um
ber
of
perm
uta
tion
s of
eig
ht
obje
cts
tak
en
th
ree a
t a t
ime.
Keyst
rok
es:
N P R ( 8 , 3 ) ·
.
b. C
(8,
3)
Calc
ula
te t
he n
um
ber
of
com
bin
ati
on
s of
eig
ht
obje
cts
tak
en
th
ree a
t a t
ime.
Keyst
rok
es:
N C R ( 8 , 3 ) ·
.
W
ha
t is
th
e p
ro
ba
bil
ity
of
dra
win
g f
ive c
ard
s f
ro
m a
sta
nd
ard
deck
of
ca
rd
s a
nd
ha
vin
g t
hree o
f th
e c
ard
s b
e a
ces?
Wri
te t
he p
robabil
ity a
s th
e p
rod
uct
of
com
bin
ati
on
s fo
r h
avin
g t
hre
e a
ces
over
the t
ota
l co
mbin
ati
on
s fo
ran
y f
ive c
ard
s,
. C
alc
ula
te t
he p
robabil
ity
usi
ng t
he n
Cr c
om
man
d.
Keyst
rok
es:
N C R ( 1
3 , 1 ) r N C R
( 4 , 3 ) r N C R ( 4
8 , 2 ) pN C R
( 5
2 , 5 ) ·
.
Th
e p
robabil
ity i
s
94
−
4165 .
Exerc
ises
Ev
alu
ate
ea
ch
ex
pressio
n.
1. P
(8,
5)
6720
2. C
(12,
8)
49
5
3. P
(7,
3)
21
0
4. C
(52,
5)
2,5
98,9
60
5. P
(9,
4)
3024
6. C
(48,
4)
194,5
80
7. P
(13,
4)
17,1
60
8. C
(36,
5)
376,9
92
Fin
d e
ach
pro
ba
bil
ity
.
9. W
hat
is t
he p
robabil
ity o
f d
raw
ing f
ou
r 2s
wh
en
sele
ctin
g f
ive c
ard
s fr
om
a s
tan
dard
deck
of
card
s?
48
−
C(5
2, 5) =
48
−
2,5
98,9
60
=
1
−
54,1
45
10. W
hat
is t
he p
robabil
ity o
f ro
llin
g f
ive d
ice a
nd
all
of
them
sh
ow
ing t
he s
am
e n
um
ber?
1
−
1296
Exam
ple
1
Exam
ple
2
C(1
3, 1)
· C
(4,
3)
· C
(48,
2)
−−
C(5
2,
5)
Ev
alu
ate
ea
ch
ex
pressio
n.
Answers (Lesson 12-5)
Answers
Co
pyri
gh
t ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f T
he M
cG
raw
-Hill C
om
pan
ies,
Inc.
Chapter 12 A17 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
36
Gle
ncoe A
lgeb
ra 1
12-6
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n
Pro
bab
ilit
y D
istr
ibu
tio
ns
Ran
do
m V
ari
ab
les
an
d P
rob
ab
ilit
y
A r
an
do
m v
aria
ble
X i
s a v
ari
able
wh
ose
valu
e i
s th
e n
um
eri
cal
ou
tcom
e o
f a r
an
dom
even
t.
A
tea
ch
er a
sk
ed
her s
tud
en
ts h
ow
ma
ny
sib
lin
gs t
hey
ha
ve.
Th
e r
esu
lts a
re s
ho
wn
in
th
e t
ab
le a
t
the r
igh
t.
a.
Fin
d t
he p
ro
ba
bil
ity
th
at
a r
an
do
mly
sele
cte
d s
tud
en
t
ha
s 2
sib
lin
gs.
T
he r
an
dom
vari
able
X c
an
equ
al
0,
1,
2,
3,
or
4.
In t
he t
able
, th
e v
alu
e X
= 2
is
pair
ed
wit
h 8
ou
tcom
es,
an
d t
here
are
27 s
tud
en
ts s
urv
eyed
.
P(X
= 2
) =
2 s
ibli
ngs
−
−
27 s
tud
en
ts s
urv
eyed
=
8
−
27
T
he p
robabil
ity t
hat
a r
an
dom
ly s
ele
cted
stu
den
t h
as
2 s
ibli
ngs
is
8
−
27 ,
or
29.6
%.
b.
Fin
d t
he p
ro
ba
bil
ity
th
at
a r
an
do
mly
sele
cte
d s
tud
en
t h
as a
t le
ast
three
sib
lin
gs.
P
(X ≥
3)
= 2
+ 1
−
27
T
he p
robabil
ity t
hat
a r
an
dom
ly s
ele
cted
stu
den
t h
as
at
least
3 s
ibli
ngs
is 1
−
9 ,
or
11.1
%.
Exerc
ises
Fo
r E
xercis
es 1
–3,
use t
he g
ra
de d
istr
ibu
tio
n
sh
ow
n a
t th
e r
igh
t. A
gra
de o
f A
= 5
, B
= 4
,
C =
3,
D =
2,
F =
1.
1. F
ind
th
e p
robabil
ity t
hat
a r
an
dom
ly s
ele
cted
st
ud
en
t in
th
is c
lass
rece
ived
a g
rad
e o
f C
. 1
−
5
2. F
ind
th
e p
robabil
ity t
hat
a r
an
dom
ly s
ele
cted
stu
den
t in
th
is c
lass
rece
ived
a g
rad
e
low
er
than
a C
. 1
−
5
3. W
hat
is t
he p
robabil
ity t
hat
a r
an
dom
ly s
ele
cted
stu
den
t in
th
is c
lass
pass
es
the c
ou
rse,
that
is,
gets
at
least
a D
? 2
4 −
25
4. T
he t
able
sh
ow
s th
e r
esu
lts
of
toss
ing 3
coin
s 50 t
imes.
Wh
at
is t
he p
robabil
ity o
f gett
ing
2 o
r 3 h
ead
s? 48%
Exam
ple
Nu
mb
er
of
Sib
lin
gs
Nu
mb
er
of
Stu
den
ts
01
115
28
32
41
X =
Gra
de
54
32
1
Nu
mb
er
of
stu
dets
69
54
1
X =
Nu
mb
er
of
Head
s0
12
3
Nu
mb
er
of
Tim
es
620
19
5
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Lesson 12-6
Ch
ap
ter
12
37
Gle
ncoe A
lgeb
ra 1
12-6
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n (c
on
tin
ued
)
Pro
bab
ilit
y D
istr
ibu
tio
ns
Pro
bab
ilit
y D
istr
ibu
tio
ns
Th
e p
robabil
itie
s ass
oci
ate
d w
ith
every
poss
ible
valu
e o
f th
e r
an
dom
vari
able
X m
ak
e u
p w
hat
are
call
ed
th
e p
ro
ba
bil
ity
dis
trib
uti
on
for
that
vari
able
. A
pro
babil
ity d
istr
ibu
tion
has
the f
oll
ow
ing p
rop
ert
ies.
Pro
pert
ies o
f a P
rob
ab
ilit
y
Dis
trib
uti
on
1.
The p
robabili
ty o
f each v
alu
e o
f X
is g
reate
r th
an o
r equal to
0.
2.
The p
robabili
ties f
or
all
valu
es o
f X
add u
p t
o 1
.
Th
e p
robabil
ity d
istr
ibu
tion
for
a r
an
dom
vari
able
can
be g
iven
in
a t
able
or
in a
p
ro
ba
bil
ity
his
tog
ra
m a
nd
use
d t
o o
bta
in o
ther
info
rmati
on
.
T
he d
ata
fro
m t
he e
xa
mp
le o
n t
he p
rev
iou
s p
ag
e c
an
be u
sed
to
dete
rm
ine a
pro
ba
bil
ity
dis
trib
uti
on
an
d t
o m
ak
e a
pro
ba
bil
ity
his
tog
ra
m.
X =
Nu
mb
er
of
Sib
lin
gs
P(X
)
00.0
37
10.5
56
20.2
96
30.0
74
40.0
37
0.600
0.400
0.200
0
P(X
)
X =
Nu
mb
er
of
Sib
lin
gs
Pro
bab
ilit
y H
isto
gra
m
12
34
a.
Sh
ow
th
at
the d
istr
ibu
tio
n
is v
ali
d.
For
each
valu
e o
f X
, th
e p
robabil
ity
is g
reate
r th
an
or
equ
al
to 0
an
d
less
th
an
or
equ
al
to 1
. A
lso,
the
sum
of
the p
robabil
itie
s is
1.
b.
Wh
at
is t
he p
ro
ba
bil
ity
th
at
a s
tud
en
t
ch
osen
at
ra
nd
om
ha
s f
ew
er t
ha
n
2 s
ibli
ng
s?
Beca
use
th
e e
ven
ts a
re i
nd
ep
en
den
t, t
he
pro
babil
ity o
f fe
wer
than
2 s
ibli
ngs
is t
he s
um
of
the p
robabil
ity o
f 0 s
ibli
ngs
an
d t
he
pro
babil
ity o
f 1 s
ibli
ng,
or
0.0
37 +
0.5
56 =
0.5
93.
Exerc
ises
Th
e t
ab
le a
t th
e r
igh
t sh
ow
s t
he p
ro
ba
bil
ity
dis
trib
uti
on
fo
r s
tud
en
ts b
y s
ch
oo
l en
ro
llm
en
t
in t
he U
nit
ed
Sta
tes i
n 2
000.
Use t
he t
ab
le f
or
Ex
ercis
es 1
– 3
.
1. S
how
th
at
the d
istr
ibu
tion
is
vali
d.
0
≤ P
(X) ≤
1;
the s
um
of
the p
rob
ab
ilit
ies =
1
2.
If a
stu
den
t is
ch
ose
n a
t ra
nd
om
, w
hat
is t
he p
robabil
ity
that
the s
tud
en
t is
in
ele
men
tary
or
seco
nd
ary
sch
ool?
0.7
77
3. M
ak
e a
pro
babil
ity h
isto
gra
m o
f th
e d
ata
.
1.0
0.8
0.6
0.4
0.2
1
P(X
)
X =
Typ
e o
f Sch
oo
l
Pro
bab
ilit
y H
isto
gra
m
23
So
urc
e:
U.S
. C
ensus B
ure
au
Exam
ple
X =
Typ
e o
f S
ch
oo
lP
(X)
Ele
menta
ry =
10.5
62
Secondary
= 2
0.2
15
Hig
her
Education =
30.2
23
Answers (Lesson 12-6)
Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A18 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
38
Gle
ncoe A
lgeb
ra 1
12-6
Sk
ills
Practi
ce
Pro
bab
ilit
y D
istr
ibu
tio
ns
Fo
r E
xercis
es 1
–3,
the s
pin
ner s
ho
wn
is s
pu
n t
hree t
imes.
1. W
rite
th
e s
am
ple
sp
ace
wit
h a
ll p
oss
ible
ou
tcom
es.
G
GG
, G
GB
, G
BG
, G
BB
, B
GG
, B
GB
, B
BG
, B
BB
2. F
ind
th
e p
robabil
ity d
istr
ibu
tion
X,
wh
ere
X r
ep
rese
nts
th
e n
um
ber
of
tim
es
the s
pin
ner
lan
ds
on
gre
en
for X
= 0
, X
= 1
, X
= 2
, an
d X
= 3
.
P(X
= 0
) =
0.1
25,
P(X
= 1
) =
0.3
75,
P(X
= 2
) =
0.3
75,
P(X
= 3
) =
0.1
25
3. M
ak
e a
pro
babil
ity h
isto
gra
m o
f th
e d
ata
.
Fo
r E
xercis
es 4
–6,
the s
pin
ner s
ho
wn
is s
pu
n t
wo
tim
es.
4. W
rite
th
e s
am
ple
sp
ace
wit
h a
ll p
oss
ible
ou
tcom
es.
R
R,
RB
, R
G,
R
Y,
BR
, B
B,
BG
, B
Y,
GR
, G
B,
GG
, G
Y,
YR
, Y
B,
YG
, Y
Y
5. F
ind
th
e p
robabil
ity d
istr
ibu
tion
X,
wh
ere
X r
ep
rese
nts
th
e n
um
ber
of
tim
es
the s
pin
ner
lan
ds
on
yell
ow
for X
= 0
, X
= 1
, an
d X
= 2
.
P(X
= 0
) =
0.5
625,
P(X
= 1
) =
0.3
75,
P(X
= 2
) =
0.0
625
6. M
ak
e a
pro
babil
ity h
isto
gra
m o
f th
e d
ata
.
7. B
USIN
ESS
U
se t
he t
able
th
at
show
s th
e
pro
babil
ity d
istr
ibu
tion
of
the n
um
ber
of
min
ute
s a c
ust
om
er
spen
ds
at
the e
xp
ress
ch
eck
ou
t at
a s
up
erm
ark
et.
a.
Sh
ow
th
at
the d
istr
ibu
tion
is
vali
d.
0.0
9 +
0.1
3 +
0.2
8 +
0.3
2 +
0.1
8 =
1
b.
Wh
at
is t
he p
robabil
ity t
hat
a c
ust
om
er
spen
ds
less
th
an
3 m
inu
tes
at
the c
heck
ou
t?
0.2
2
c.
Wh
at
is t
he p
robabil
ity t
hat
the c
ust
om
er
spen
ds
at
least
4 m
inu
tes
at
the c
heck
ou
t?
0.5
0
RED
BLUE
GREEN
YELLOW
BLUE
GREEN
X =
Min
ute
s1
23
45 +
Pro
bab
ilit
y0.0
90.1
30.2
80.3
20.1
8
0.4
0.3
0.2
0.1 0
0
P(X
)
X =
Nu
mb
er
of
Tim
es
Sp
inn
er
Lan
ds
on
Gre
en
Sp
inn
er
Pro
bab
ilit
yD
istr
ibu
tio
n
12
3
0.6
0.5
0.4
0.3
0.2
0.1 0
0
P(X
)
X =
Nu
mb
er
of
Tim
es
Sp
inn
er
Lan
ds
on
Yello
w
Sp
inn
er
Pro
bab
ilit
yD
istr
ibu
tio
n
12
Lesson 12-6
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
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ap
ter
12
39
Gle
ncoe A
lgeb
ra 1
12-6
Practi
ce
Pro
bab
ilit
y D
istr
ibu
tio
ns
Fo
r E
xercis
es 1
–3,
the s
pin
ner s
ho
wn
is s
pu
n t
wo
tim
es.
1. W
rite
th
e s
am
ple
sp
ace
wit
h a
ll p
oss
ible
ou
tcom
es.
B
B,
BW
, B
R,
BY
, B
G,
WB
, W
W,
WR
, W
Y,
WG
, R
B,
RW
, R
R,
RY
, R
G,
YB
, Y
W,
YR
, Y
Y,
YG
, G
B,
GW
, G
R,
GY
, G
G
2. F
ind
th
e p
robabil
ity d
istr
ibu
tion
X,
wh
ere
X r
ep
rese
nts
th
e n
um
ber
of
tim
es
the s
pin
ner
lan
ds
on
blu
e f
or X
= 0
, X
= 1
, an
d X
= 2
.
P
(X =
0) =
0.6
4,
P(X
= 1
) =
0.3
2,
P(X
= 2
) =
0.0
4
3. M
ak
e a
pro
babil
ity h
isto
gra
m o
f th
e d
ata
.
0.8
0.6
0.4
0.2 0
0
P(X
)
X =
Nu
mb
er
of
Tim
es
Sp
inn
er
Lan
ds
on
Blu
e
Sp
inn
er
Pro
bab
ilit
yD
istr
ibu
tio
n
12
4. TELEC
OM
MU
NIC
ATIO
NS
U
se t
he t
able
th
at
show
s th
e p
robabil
ity d
istr
ibu
tion
of
the n
um
ber
of
tele
ph
on
es
per
stu
den
t’s
hou
seh
old
at
Wil
son
Hig
h.
a
. S
how
th
at
the d
istr
ibu
tion
is
vali
d.
0.0
1 +
0.1
6 +
0.3
4 +
0.3
9 +
0.1
0 =
1
b
. If
a s
tud
en
t is
ch
ose
n a
t ra
nd
om
, w
hat
is t
he p
robabil
ity t
hat
there
are
more
th
an
3
tele
ph
on
es
at
the s
tud
en
t’s
hom
e?
0.4
9
c.
Mak
e a
pro
babil
ity h
isto
gra
m o
f th
e d
ata
.
0.4
0.3
0.2
0.1 0
P(X
)
X =
Nu
mb
er
of
Tele
ph
on
es
per
Ho
use
ho
ld
Wil
so
n H
igh
Ho
useh
old
s
12
34
5
5. LA
ND
SC
APIN
G U
se t
he t
able
th
at
show
s th
e p
robabil
ity d
istr
ibu
tion
of
the n
um
ber
of
shru
bs
(rou
nd
ed
to t
he n
eare
st 5
0)
ord
ere
d b
y
corp
ora
te c
lien
ts o
f a l
an
dsc
ap
ing c
om
pan
y
over
the p
ast
fiv
e y
ears
.
a
. D
efi
ne a
ran
dom
vari
able
an
d l
ist
its
valu
es.
L
et
X =
th
e n
um
ber
of
sh
rub
s
ord
ere
d;
X =
50,
100,
150,
200,
250
b
. S
how
th
at
the d
istr
ibu
tion
is
vali
d.
0.1
1 +
0.2
4 +
0.4
5 +
0.1
6 +
0.0
4 =
1
c.
Wh
at
is t
he p
robabil
ity t
hat
a c
lien
t’s
(rou
nd
ed
) ord
er
was
at
least
150 s
hru
bs?
0.6
5
RED
WHITEBLUE
GREEN
YELLOW
X =
Nu
mb
er
of
Tele
ph
on
es
12
34
5+
Pro
bab
ilit
y0.0
10.1
60.3
40.3
90.1
0
X =
Nu
mb
er
of
Sh
rub
s50
100
150
200
250
Pro
bab
ilit
y0.1
10.2
40.4
50.1
60.0
4
Answers (Lesson 12-6)
Answers
Co
pyri
gh
t ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f T
he M
cG
raw
-Hill C
om
pan
ies,
Inc.
Chapter 12 A19 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
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PE
RIO
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ap
ter
12
40
Gle
ncoe A
lgeb
ra 1
12-6
Wo
rd
Pro
ble
m P
racti
ce
Pro
bab
ilit
y D
istr
ibu
tio
ns
1.G
AM
ES
A s
pin
ner
for
an
ad
ven
ture
gam
e d
ecid
es h
ow a
pla
yer
wil
l m
ove.
W
rite
th
e sa
mp
le s
pace
wit
h a
ll p
ossi
ble
ou
tcom
es i
f th
e sp
inn
er i
s sp
un
tw
ice.
F
F,
FB
, F
L,
FR
, B
F,
BB
, B
L,
BR
, L
F,
LB
, L
L,
LR
, R
F,
RB
, R
L,
RR
2. JO
BS
Th
e p
robabil
ity d
istr
ibu
tion
table
sh
ows
the
resu
lts
of a
new
spap
er s
urv
ey
that
ask
ed b
abysi
tter
s h
ow m
uch
th
ey
mak
e p
er h
our.
Ho
url
y P
ay
$3
$4
$5
$6
$7+
Pro
bab
ilit
y0.1
0.2
0.5
0.1
50.0
5
W
hat
is t
he
pro
babil
ity t
hat
a b
abysi
tter
ch
osen
at
ran
dom
fro
m t
he
surv
ey m
ak
es
mor
e th
an
$5 p
er h
our?
0.2
0 =
20
%
3. T
IME
Jam
es l
ook
s at
his
12-h
our
dig
ital
cloc
k w
hen
he
wak
es u
p i
n t
he
mid
dle
of
the
nig
ht.
Mak
e a p
robabil
ity
his
togra
m f
or a
ll o
f th
e p
ossi
ble
ou
tcom
es
if y
ou l
et X
equ
al
the
firs
t d
igit
of
the
tim
e. F
or i
nst
an
ce,
if i
t is
3:4
1,
the
firs
t d
igit
is
a 3
.
Pro
bab
ilit
y H
isto
gra
m
43
21
0.20
0.30
0.10 0
0.40
P (10)
0.50
56
78
9
X =
Fir
st d
igit
on
clo
ck
4.D
AR
TS
Su
pp
ose
two
dart
s are
th
row
n a
t a
trad
itio
nal
dart
boa
rd
an
d l
an
d n
ear
the
cen
ter,
bu
t n
ot o
n a
bu
llse
ye.
Wh
at
is t
he
pro
babil
ity t
hat
the
sum
of
thei
r sc
ores
is
less
th
an
or
equ
al
to 5
?
10
÷ 4
00 =
0.0
25 =
2.5
%
5.T
EN
NIS
All
sea
son
Oli
ver
’s t
enn
is c
oach
h
as
kep
t tr
ack
of
wh
ere
each
of
his
se
rves
has
lan
ded
du
rin
g p
ract
ice.
Th
e re
sult
s are
sh
own
in
th
e p
robabil
ity
dis
trib
uti
on t
able
. A
ser
ve
in r
egio
n 2
is
“in
”, w
hil
e a s
erve
in a
ny o
ther
reg
ion
is
a f
au
lt.
A s
erve
in r
egio
n 1
rep
rese
nts
h
itti
ng t
he
net
.
Reg
ion
12
34
5
Pro
bab
ilit
y0.1
90.5
20.1
50.0
90.0
5
a.
Wh
at
is t
he
pro
babil
ity t
hat
an
y o
ne
of O
liver
’s s
erves
doe
s n
ot h
it t
he
net
an
d i
s a f
au
lt?
0.2
9 o
r 29%
b.
Mak
e a p
robabil
ity h
isto
gra
m t
hat
rep
rese
nts
th
e d
ata
in
th
e ta
ble
.
Pro
bab
ilit
y H
isto
gra
m
43
21
0.20
0.30
0.10 0
0.40
P (x)
0.50
5
Reg
ion
Forw
ard
Left
Right
Backward
Lesson 12-6
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
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ap
ter
12
41
Gle
ncoe A
lgeb
ra 1
12-6
Bin
om
ial
Dis
trib
uti
on
A b
inom
ial
dis
trib
uti
on i
s a p
art
icu
lar
typ
e of
pro
babil
ity d
istr
ibu
tion
. T
o d
eter
min
e a
pro
babil
ity a
bin
omia
l d
istr
ibu
tion
use
s th
e bin
omia
l co
effi
cien
ts a
nd
th
e fo
rmu
la
nC
k �
pk(1
- p
) n-
k w
her
e n
is
the
nu
mber
of
sele
ctio
ns,
k i
s th
e d
esir
ed o
utc
ome,
an
d p
is
the
pro
babil
ity o
f th
e d
esir
ed o
utc
ome.
So,
if
we
have
a b
ag t
hat
con
tain
s 4 r
ed b
all
s an
d 8
bla
ck b
all
s, w
e ca
n u
se t
his
for
mu
la t
o d
eter
min
e th
e p
robabil
ity o
f d
raw
ing e
xact
ly 2
red
ball
s ou
t of
5 d
raw
s if
we
retu
rn t
he
ball
aft
er e
ach
dra
w.
Use
th
e fo
rmu
la t
o d
eter
min
e th
e p
robabil
ity:
C(5
, 2) �
( 4 −
12 ) 2
(1 -
4 −
12 ) 3
= 8
0 −
243
So,
th
e p
robabil
ity o
f ch
oosi
ng e
xact
ly 2
red
ball
s ou
t of
5 d
raw
s is
80 −
243 .
Exercis
es
1. D
eter
min
e th
e p
robabil
ity o
f d
raw
ing e
xact
ly 3
bla
ck b
all
s.
80 −
243
2. C
omp
are
th
e p
robabil
ity f
oun
d i
n p
roble
m 1
to
the
pro
babil
ity f
oun
d i
n t
he
exam
ple
. E
xp
lain
wh
y t
hey
com
pare
th
e w
ay t
hey
do.
I
t is
th
e s
am
e a
s t
he e
xam
ple
becau
se t
he p
rob
ab
ilit
y o
f g
ett
ing
exactl
y
2 r
ed
balls i
s t
he s
am
e a
s t
he p
rob
ab
ilit
y o
f g
ett
ing
exactl
y 3
bla
ck b
alls.
3. D
eter
min
e th
e p
robabil
ity o
f d
raw
ing e
xact
ly 3
red
ball
s.
40 −
243
4. D
eter
min
e th
e p
robabil
ity o
f d
raw
ing e
xact
ly 4
red
ball
s.
10 −
243
5. N
ow a
ssu
me
that
ther
e are
3 r
ed b
all
s an
d 2
bla
ck b
all
s in
th
e E
ven
tP
rob
ab
ilit
y
P(0
Red)
8 −
125
P(1
Red)
36 −
125
P(2
Red)
54 −
125
P(3
Red)
27 −
125
bag.
Com
ple
te t
he
pro
babil
ity d
istr
ibu
tion
table
usi
ng t
he
bin
omia
l d
istr
ibu
tion
.
En
ric
hm
en
t
Answers (Lesson 12-6)
Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A20 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
42
Gle
ncoe A
lgeb
ra 1
12-6
Sp
read
sheet
Act
ivit
y
Pro
bab
ilit
y H
isto
gra
ms
U
se a
sp
rea
dsh
eet
to m
ak
e a
pro
ba
bil
ity
his
tog
ra
m f
or t
he n
um
ber
of
hea
ds w
hen
fiv
e c
oin
s a
re t
ossed
.
Ste
p 1
E
nte
r th
e n
um
bers
of
head
s, X
, in
to
Colu
mn
A.
Ste
p 2
U
se C
olu
mn
B t
o f
ind
th
e n
um
ber
of
ways
that
X h
ead
s ca
n b
e a
chie
ved
. If
a c
oin
is
toss
ed
5 t
imes,
X h
ead
s ca
n
be a
chie
ved
in
C(5
, X
) w
ays.
Ste
p 3
F
ind
th
e p
robabil
itie
s in
Colu
mn
C.
Ste
p 4
S
ele
ct C
olu
mn
C t
o c
reate
th
e
his
togra
m.
Ch
oose
Ch
art
fro
m t
he
Inse
rt m
en
u.
Th
en
Ch
oose
th
e
Colu
mn
ch
art
. U
se t
he S
eri
es
tab t
o
desi
gn
ate
th
e C
ate
gory
(X
) axis
labels
as
the d
ata
in
cell
s A
2 t
hro
ugh
A7.
Use
th
e m
en
us
to f
orm
at
the h
isto
gra
m.
Sp
read
sheets
have m
an
y f
orm
ula
s p
rogra
mm
ed
in
clu
din
g,
com
bin
ati
on
s an
d
perm
uta
tion
s, t
hat
can
be u
sed
to i
nvest
igate
pro
babil
ity.
A
2 3 4 5 6 7 81
BC
X =
Nu
mb
er
of
Head
s in
5 t
osses
Ways t
oA
ch
ieve
P (
x)
0.0
3125
0.1
5625
0.3
125
0.3
125
0.1
5625
0.0
3125
1 5
10
10 5 1
0 1 2 3 4 5
Sh
eet
1S
heet
2S
heet
3
Cell
B7 c
onta
ins
the f
orm
ula
CO
MB
IN(5
, 47).
Cell
C7 c
onta
ins
the f
orm
ula
B7/S
UM
(B2:B
7).
Exerc
ises
Fo
r E
xercis
es 1
–3,
use t
he p
ro
ba
bil
ity
his
tog
ra
m f
or t
ossin
g 5
co
ins.
1. W
hat
is t
he p
robabil
ity t
hat
more
th
an
3 h
ead
s are
toss
ed
? 0.1
875 o
r 18.7
5%
2. W
hat
is t
he p
robabil
ity t
hat
few
er
than
3 h
ead
s are
toss
ed
? 0.5
or
50%
3. Is
th
is a
vali
d p
robabil
ity d
istr
ibu
tion
? E
xp
lain
. Y
es;
each
pro
bab
ilit
y i
s g
reate
r
than
0 a
nd
less t
han
or
eq
ual
to 1
an
d t
he s
um
of
the p
rob
ab
ilit
ies i
s 1
.
4. U
se a
sp
read
sheet
to m
ak
e a
pro
babil
ity h
isto
gra
m f
or
the n
um
ber
of
head
s w
hen
ten
co
ins
are
toss
ed
. S
ee s
tud
en
ts’
wo
rk.
Exam
ple
Lesson 12-7
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
43
Gle
ncoe A
lgeb
ra 1
12-7
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n
Pro
bab
ilit
y S
imu
lati
on
s
Th
eo
reti
cal
an
d E
xp
eri
men
tal
Pro
bab
ilit
y
Th
e p
robabil
ity u
sed
to d
esc
ribe
even
ts m
ath
em
ati
call
y i
s ca
lled
th
eo
reti
ca
l p
ro
ba
bil
ity
. F
or
exam
ple
, th
e m
ath
em
ati
cal
pro
babil
ity o
f ro
llin
g a
4 w
ith
a n
um
ber
cube i
s 1
−
6 ,
or
P(4
) =
1
−
6 .
Ex
perim
en
tal
pro
ba
bil
ity
is t
he r
ati
o o
f th
e n
um
ber
of
tim
es
an
ou
tcom
e o
ccu
rs i
n a
n e
xp
eri
men
t to
th
e t
ota
l n
um
ber
of
even
ts o
r tr
ials
, k
now
n a
s th
e r
ela
tiv
e f
req
uen
cy
.
Exp
eri
men
tal
Pro
bab
ilit
y fr
equ
en
cy o
f an
ou
tcom
e
−−
tota
l n
um
ber
of
tria
ls
M
att
reco
rd
ed
th
at
it r
ain
ed
8 t
imes i
n N
ov
em
ber a
nd
sn
ow
ed
3 t
imes.
Th
e o
ther d
ay
s,
it w
as s
un
ny
. T
here a
re 3
0 d
ay
s i
n N
ov
em
ber.
Su
pp
ose
Ma
tt u
ses t
hese r
esu
lts t
o p
red
ict
No
vem
ber’s
wea
ther n
ex
t y
ea
r.
Wh
at
is t
he
pro
ba
bil
ity
th
at
a d
ay
in
No
vem
ber w
ill
be s
un
ny
?
Exp
eri
men
tal
Pro
babil
ity =
frequ
en
cy o
f ou
tcom
e
−
−
to
tal
nu
mber
of
tria
ls
=
(30 -
8 -
3)
−
30
=
19
−
30 =
63.3
%
Th
e p
robabil
ity t
hat
it w
ill
be s
un
ny o
n a
day i
n N
ovem
ber
is 6
3.3
%.
A
fo
otb
all
tea
m n
oti
ced
th
at
9 o
f th
e l
ast
20 c
oin
to
sses t
o c
ho
ose
wh
ich
tea
m w
ou
ld r
eceiv
e t
he b
all
fir
st
resu
lted
in
ta
ils.
Wh
at
is t
he e
xp
erim
en
tal
pro
ba
bil
ity
of
the c
oin
la
nd
ing
on
ta
ils? W
ha
t is
th
e t
heo
reti
ca
l p
ro
ba
bil
ity
?
Exp
eri
men
tal
Pro
babil
ity =
fr
equ
en
cy o
f ou
tcom
e
−
−
to
tal
nu
mber
of
tria
ls
=
nu
mber
of
tail
s
−−
tota
l n
um
ber
of
toss
ess
=
9
−
20 =
45%
In t
his
case
, th
e e
xp
eri
men
tal
pro
babil
ity t
hat
a c
oin
toss
wil
l be t
ail
s is
45%
. If
th
e c
oin
is
fair
, th
e m
ath
em
ati
cal
pro
babil
ity i
s 50%
.
Exerc
ises
1. D
IE R
OLL A
math
cla
ss d
eci
ded
to t
est
wh
eth
er
a d
ie i
s fa
ir,
that
is,
wh
eth
er
the e
xp
eri
men
tal
pro
babil
ity e
qu
als
th
e t
heore
tica
l p
robabil
ity.
Th
e r
esu
lts
for
100 r
oll
s are
sh
ow
n a
t th
e r
igh
t.
a
. W
hat
is t
he t
heore
tica
l p
robabil
ity o
f ro
llin
g a
6?
16.7
%
b.
Wh
at
is t
he e
xp
eri
men
tal
pro
babil
ity o
f ro
llin
g a
6?
47%
c.
Is t
he d
ie f
air
? E
xp
lain
you
r re
aso
nin
g.
Pro
bab
ly n
ot;
th
eo
reti
cal
pro
bab
ilit
y
≠ e
xp
eri
men
tal
pro
bab
ilit
y.
1:
1
2:
15
3:
4
4:
13
5:
15
6:
42
Exam
ple
1
Exam
ple
2
Answers (Lesson 12-6 and Lesson 12-7)
Answers
Co
pyri
gh
t ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f T
he M
cG
raw
-Hill C
om
pan
ies,
Inc.
Chapter 12 A21 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
44
Gle
ncoe A
lgeb
ra 1
12-7
Stu
dy
Gu
ide a
nd
In
terv
en
tio
n (c
on
tin
ued
)
Pro
bab
ilit
y S
imu
lati
on
s
Perf
orm
ing
Sim
ula
tio
ns
A m
eth
od
th
at
is o
ften
use
d t
o f
ind
exp
eri
men
tal
pro
babil
ity
is a
sim
ula
tio
n.
A s
imu
lati
on
all
ow
s you
to u
se o
bje
cts
to a
ct o
ut
an
even
t th
at
wou
ld b
e
dif
ficu
lt o
r im
pra
ctic
al
to p
erf
orm
.
In
on
e b
aseb
all
sea
so
n,
Pete
wa
s a
ble
to
get
a b
ase h
it 4
2 o
f th
e
254 t
imes h
e w
as a
t b
at.
a. W
ha
t co
uld
be u
sed
to
sim
ula
te h
is g
ett
ing
a b
ase h
it?
Fir
st f
ind
th
e e
xp
eri
men
tal
pro
babil
ity.
Exp
eri
men
tal
Pro
babil
ity =
fr
equ
en
cy o
f ou
tcom
e
−
−
to
tal
nu
mber
of
tria
ls
=
42
−
254 o
r 16.5
%
Noti
ce t
hat
the e
xp
eri
men
tal
pro
babil
ity i
s abou
t 1
−
6 .
Th
ere
fore
use
a
spin
ner
lik
e t
he o
ne a
t th
e r
igh
t w
ith
6 e
qu
all
y l
ikely
ou
tcom
es.
b. D
escrib
e a
wa
y t
o s
imu
late
his
nex
t 10 t
imes a
t b
at.
Let
an
ou
tcom
e o
f 1 c
orr
esp
on
d t
o P
ete
’s g
ett
ing a
base
hit
. L
et
all
oth
er
ou
tcom
es
corr
esp
on
d t
o h
is n
ot
gett
ing a
hit
. S
pin
th
e s
pin
ner
on
ce t
o s
imu
late
a t
ime a
t bat.
R
eco
rd t
he r
esu
lt a
nd
rep
eat
this
9 m
ore
tim
es.
Exerc
ises
1. G
UESSIN
G W
hat
cou
ld y
ou
use
to s
imu
late
th
e o
utc
om
e o
f gu
ess
ing o
n a
20 q
uest
ion
tru
e-f
als
e t
est
? S
am
ple
an
sw
er:
a c
oin
to
ssed
20 t
imes w
ith
head
s
co
rresp
on
din
g t
o t
rue a
nd
tails c
orr
esp
on
din
g t
o f
als
e
2. G
UESSIN
G W
hat
cou
ld y
ou
use
to s
imu
late
th
e o
utc
om
e o
f gu
ess
ing o
n a
20-q
uest
ion
m
ult
iple
ch
oic
e t
est
wit
h 4
alt
ern
ati
ve a
nsw
ers
labele
d A
, B
, C
, an
d D
for
each
qu
est
ion
?
Sam
ple
an
sw
er:
a s
pin
ner
wit
h 4
eq
ual-
siz
ed
secti
on
s l
ab
ele
d A
, B
, C
,
an
d D
sp
un
20 t
imes
3. PR
OM
OTIO
NS
M
ain
Str
eet
Su
perm
ark
et
ran
dom
ly g
ives
each
sh
op
per
a f
ree t
wo-l
iter
bott
le o
f co
la d
uri
ng t
he S
atu
rday s
hop
pin
g h
ou
rs.
Th
e s
up
erm
ark
et
sell
s 6 d
iffe
ren
t ty
pes
of
cola
.
a.
Wh
at
cou
ld b
e u
sed
to p
erf
orm
a s
imu
lati
on
of
this
sit
uati
on
? S
am
ple
an
sw
er:
a
sp
inn
er
wit
h 6
eq
ual-
siz
ed
secti
on
s lab
ele
d t
o r
ep
resen
t th
e 6
typ
es o
f
co
la
b.
How
cou
ld y
ou
use
th
is s
imu
lati
on
to m
od
el
the n
ext
50 b
ott
les
of
cola
giv
en
ou
t.
Sam
ple
an
sw
er:
sp
in t
he s
pin
ner
descri
bed
fo
r E
xerc
ise 3
fif
ty t
imes
4. PIC
NIC
S A
t a p
icn
ic,
there
were
2 p
ean
ut
bu
tter
san
dw
ich
es,
2 c
hic
ken
san
dw
ich
es,
a t
un
a s
an
dw
ich
, an
d a
tu
rkey s
an
dw
ich
in
a c
oole
r. D
esc
ribe a
sim
ula
tion
th
at
cou
ld
be u
sed
to f
ind
th
e p
robabil
ity o
f ra
nd
om
ly p
ick
ing a
cert
ain
san
dw
ich
fro
m t
he c
oole
r.
Sam
ple
an
sw
er:
If
rollin
g a
nu
mb
er
cu
be r
esu
lts i
n a
1 o
r 2,
ch
oo
se
pean
ut
bu
tter;
3 o
r 4,
ch
oo
se c
hic
ken
; 5,
ch
oo
se t
un
a;
6,
ch
oo
se t
urk
ey
12
54
36
Exam
ple
Lesson 12-7
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
45
Gle
ncoe A
lgeb
ra 1
12-7
Sk
ills
Pra
ctic
e
Pro
bab
ilit
y S
imu
lati
on
s
1. C
AR
DS
U
se a
sta
nd
ard
deck
of
52 c
ard
s. S
ele
ct a
card
at
ran
dom
, re
cord
th
e s
uit
of
the
card
(h
eart
, d
iam
on
d,
clu
b,
or
spad
e),
an
d t
hen
rep
lace
th
e c
ard
. R
ep
eat
this
pro
ced
ure
26 t
imes.
a
. B
ase
d o
n y
ou
r re
sult
s, w
hat
is t
he e
xp
eri
men
tal
pro
babil
ity o
f se
lect
ing a
heart
?A
nsw
ers
will
vary
. T
he t
heo
reti
cal
pro
bab
ilit
y i
s 0
.25.
b
. B
ase
d o
n y
ou
r re
sult
s, w
hat
is t
he e
xp
eri
men
tal
pro
babil
ity o
f se
lect
ing a
dia
mon
dor
a s
pad
e?
An
sw
ers
will
vary
. T
he t
heo
reti
cal
pro
bab
ilit
y i
s 0
.5.
c.
Com
pare
you
r re
sult
s to
th
e t
heore
tica
l p
robabil
itie
s. T
he t
heo
reti
cal
pro
bab
ilit
y
in p
art
a i
s 0
.25 a
nd
in
part
b i
s 0
.5.
2. SIB
LIN
GS
T
here
are
3 s
ibli
ngs
in t
he B
en
cieven
ga f
am
ily.
Wh
at
cou
ld y
ou
use
to
sim
ula
te t
he g
en
ders
of
the 3
sib
lin
gs?
S
am
ple
an
sw
er:
th
ree c
oin
s,
on
e f
or
each
of
the s
iblin
gs,
wit
h t
ails f
or
male
an
d h
ead
s f
or
fem
ale
, o
r 1 c
oin
tossed
th
ree t
imes
3. TR
AN
SPO
RTA
TIO
N A
ran
dom
su
rvey o
f 23 s
tud
en
ts r
eveale
d t
hat
2 s
tud
en
ts w
alk
to
sch
ool,
12 r
ide t
he b
us,
6 d
rive a
car,
an
d 3
rid
e w
ith
a p
are
nt
or
oth
er
ad
ult
. W
hat
cou
ld
you
use
for
a s
imu
lati
on
to d
ete
rmin
e t
he p
robabil
ity t
hat
a s
tud
en
t se
lect
ed
at
ran
dom
u
ses
an
y o
ne t
yp
e o
f tr
an
sport
ati
on
? S
am
ple
an
sw
er:
Use d
iffe
ren
tly c
olo
red
marb
les t
hat
matc
h i
n n
um
ber
wit
h t
he s
urv
ey f
or
each
tra
nsp
ort
ati
on
typ
e.
4. B
IOLO
GY
S
tep
hen
con
du
cted
a s
urv
ey o
f th
e s
tud
en
ts i
n h
is c
lass
es
to o
bse
rve t
he
dis
trib
uti
on
of
eye c
olo
r. T
he t
able
sh
ow
s th
e
resu
lts
of
his
su
rvey.
a
. F
ind
th
e e
xp
eri
men
tal
pro
babil
ity d
istr
ibu
tion
for
each
eye c
olo
r. P
(Blu
e) =
0.1
5,
P(B
row
n) =
0.7
25,
P(G
reen
) =
0.0
25,
P(H
azel)
= 0
.1
b
. B
ase
d o
n t
he s
urv
ey,
wh
at
is t
he e
xp
eri
men
tal
pro
babil
ity t
hat
a s
tud
en
t in
Ste
ph
en
’s
class
es
has
blu
e o
r gre
en
eyes?
0.1
75
c.
Base
d o
n t
he s
urv
ey,
wh
at
is t
he e
xp
eri
men
tal
pro
babil
ity t
hat
a s
tud
en
t in
Ste
ph
en
’s
class
es
does
not
have g
reen
or
hazel
eyes?
0.8
75
d
. If
th
e d
istr
ibu
tion
of
eye c
olo
r in
Ste
ph
en
’s g
rad
e i
s si
mil
ar
to t
he d
istr
ibu
tion
in
his
cl
ass
es,
abou
t h
ow
man
y o
f th
e 3
60 s
tud
en
ts i
n h
is g
rad
e w
ou
ld b
e e
xp
ect
ed
to h
ave
bro
wn
eyes?
ab
ou
t 261
Eye C
olo
rB
lue
Bro
wn
Gre
en
Hazel
Nu
mb
er
12
58
28
Answers (Lesson 12-7)
Co
pyrig
ht ©
Gle
nco
e/M
cG
raw
-Hill, a
div
isio
n o
f Th
e M
cG
raw
-Hill C
om
pan
ies, In
c.
Chapter 12 A22 Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
46
Gle
ncoe A
lgeb
ra 1
12-7
Practi
ce
Pro
bab
ilit
y S
imu
lati
on
s
1. M
AR
BLES
P
lace
5 r
ed
, 4 y
ell
ow
, an
d 7
gre
en
marb
les
in a
box.
Ran
dom
ly d
raw
tw
o
marb
les
from
th
e b
ox,
reco
rd e
ach
colo
r, a
nd
th
en
retu
rn t
he m
arb
les
to t
he b
ox.
Rep
eat
this
pro
ced
ure
50 t
imes.
a
. B
ase
d o
n y
ou
r re
sult
s, w
hat
is t
he e
xp
eri
men
tal
pro
babil
ity o
f se
lect
ing t
wo y
ell
ow
marb
les?
A
nsw
ers
will
vary
. T
he t
heo
reti
cal
pro
bab
ilit
y i
s 0
.05.
b
. B
ase
d o
n y
ou
r re
sult
s, w
hat
is t
he e
xp
eri
men
tal
pro
babil
ity o
f se
lect
ing a
gre
en
marb
le a
nd
a y
ell
ow
marb
le?
An
sw
ers
will
vary
. T
he t
heo
reti
cal
pro
bab
ilit
y
is a
bo
ut
0.2
33.
c.
Com
pare
you
r re
sult
s to
th
e t
heore
tica
l p
robabil
itie
s. T
he t
heo
reti
cal
pro
bab
ilit
y
in E
xerc
ise 1
is 0
.05,
an
d i
n E
xerc
ise 2
is a
bo
ut
0.2
33.
2. O
PTO
METR
Y C
olo
r bli
nd
ness
occ
urs
in
4%
of
the m
ale
pop
ula
tion
. W
hat
cou
ld y
ou
use
to s
imu
late
th
is s
itu
ati
on
? S
am
ple
an
sw
er:
a d
eck o
f p
layin
g c
ard
s i
n w
hic
h
1 c
ard
is r
ed
an
d 2
4 a
re b
lack
3. SC
HO
OL C
UR
RIC
ULU
M L
au
rel
Wood
s
Hig
h r
an
dom
ly s
ele
cted
stu
den
ts f
or
a
surv
ey t
o d
ete
rmin
e t
he m
ost
im
port
an
t
sch
ool
issu
es
am
on
g t
he s
tud
en
t bod
y.
Th
e s
chool
wan
ts t
o d
evelo
p a
cu
rric
ulu
m
that
ad
dre
sses
these
iss
ues.
Th
e s
urv
ey
resu
lts
are
sh
ow
n i
n t
he t
able
.
a
. F
ind
th
e e
xp
eri
men
tal
pro
babil
ity
dis
trib
uti
on
of
the i
mp
ort
an
ce o
f
each
iss
ue.
P(G
rad
es) ≈
0.1
19,
P(S
ch
oo
l S
tan
dard
s) ≈
0.0
55,
P(P
op
ula
rity
) ≈
0.2
70,
P(D
ati
ng
) ≈
0.2
44,
P(V
iole
nce) ≈
0.2
19,
P(D
rug
s) ≈
0.0
93
b
. B
ase
d o
n t
he s
urv
ey,
wh
at
is t
he e
xp
eri
men
tal
pro
babil
ity t
hat
a s
tud
en
t ch
ose
n a
t
ran
dom
th
ink
s th
e m
ost
im
port
an
t is
sue i
s gra
des
or
sch
ool
stan
dard
s? ab
ou
t 0.1
74
c.
Th
e e
nro
llm
en
t in
th
e 9
th a
nd
10th
gra
des
at
Lau
rel
Wood
s H
igh
is
168.
If t
heir
op
inio
ns
are
refl
ect
ive o
f th
ose
of
the s
chool
as
a w
hole
, h
ow
man
y o
f th
em
wou
ld y
ou
exp
ect
to h
ave c
hose
n p
op
ula
rity
as
the m
ost
im
port
an
t is
sue?
ab
ou
t 45
d
. S
up
pose
th
e s
chool
develo
ps
a c
urr
icu
lum
in
corp
ora
tin
g t
he t
op
th
ree i
ssu
es.
Wh
at
is
the p
robabil
ity t
hat
a s
tud
en
t se
lect
ed
at
ran
dom
wil
l th
ink
th
e c
urr
icu
lum
ad
dre
sses
the m
ost
im
port
an
t is
sue a
t sc
hool?
ab
ou
t 0.7
33
Sch
oo
l Is
su
es
Issu
eN
um
ber
Ran
kin
g
Issu
e M
ost
Imp
ort
an
t
Gra
des
37
School S
tandard
s17
Popula
rity
84
Dating
76
Vio
lence
68
Dru
gs,
inclu
din
g t
obacco
29
Lesson 12-7
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
NA
ME
DA
TE
PE
RIO
D
Ch
ap
ter
12
47
Gle
ncoe A
lgeb
ra 1
12-7
Wo
rd
Pro
ble
m P
racti
ce
Pro
bab
ilit
y S
imu
lati
on
s
1. G
AM
ES
S
up
pose
you
sp
in t
he s
pin
ner
belo
w 2
0 t
imes.
You
get
6 r
ed
, 4 b
lue,
5 y
ell
ow
, an
d 5
gre
en
. W
hat
is t
he
theore
tica
l p
robabil
ity o
f sp
inn
ing r
ed
?
Wh
at
is t
he e
xp
eri
men
tal
pro
babil
ity o
f
spin
nin
g r
ed
? 25%
; 30%
Red
Yellow
Blue
Green
2. EA
RTH
QU
AK
ES
G
eolo
gis
ts c
on
clu
de
that
there
is
a 6
2%
pro
babil
ity o
f a
magn
itu
de 6
.7 o
r gre
ate
r qu
ak
e s
trik
ing
the S
an
Fra
nci
sco B
ay r
egio
n b
efo
re
2032.
Does
this
rep
rese
nt
emp
iric
al
pro
ba
bil
ity,
theo
reti
cal
pro
ba
bil
ity,
or
exp
erim
enta
l p
roba
bil
ity?
em
pir
ical
3. TO
YS
T
here
is
a t
oy o
n t
he m
ark
et
that
is s
old
as
a m
oth
er
dog w
ith
her
pu
pp
ies.
Each
moth
er
dog c
om
es
wit
h 2
, 3,
or
4
pu
pp
ies.
Th
e n
um
ber
of
pu
pp
ies
in t
he
pack
age r
em
ain
s a s
urp
rise
un
til
the t
oy
is p
urc
hase
d a
nd
op
en
ed
. S
up
pose
th
e
toy c
om
pan
y h
as
state
d t
hat
on
e h
alf
of
the t
oy p
ack
ages
con
tain
2 p
up
pie
s, o
ne
thir
d o
f th
e p
ack
ages
con
tain
3 p
up
pie
s,
an
d o
ne s
ixth
of
the p
ack
ages
con
tain
4
pu
pp
ies.
Desc
ribe w
hat
cou
ld b
e u
sed
to
perf
orm
a s
imu
lati
on
for
dete
rmin
ing t
he
pro
babil
ity o
f ra
nd
om
ly r
ece
ivin
g a
cert
ain
nu
mber
of
pu
pp
ies.
Sam
ple
an
sw
er:
A
nu
mb
er
cu
be
co
uld
be u
sed
to
sim
ula
te t
he
ran
do
m e
ven
t o
f re
ceiv
ing
2,
3,
or
4 p
up
pie
s.
Let
#1-3
rep
resen
t
receiv
ing
2 p
up
pie
s;
let
#4 a
nd
5
rep
resen
t re
ceiv
ing
3 p
up
pie
s;
let
#6 r
ep
resen
t re
ceiv
ing
4 p
up
pie
s.
4. A
UTO
MO
BIL
ES
A
con
sum
er
gro
up
surv
eyed
its
mem
bers
an
d f
ou
nd
th
at
man
y o
f th
em
had
fla
ts o
r blo
wou
ts w
ith
a c
ert
ain
bra
nd
of
tire
. O
ut
of
a t
ota
l of
20,2
24 t
ires
pu
rch
ase
d,
984 d
evelo
ped
pro
ble
ms
wit
hin
th
e f
irst
1000 m
iles.
Lea
has
just
had
on
e o
f th
ese
tir
es
inst
all
ed
on
her
car.
Wh
at
is t
he p
robabil
ity t
hat
her
tire
wil
l h
ave a
fla
t or
blo
wou
t in
th
e
firs
t 1000 m
iles?
ab
ou
t 4.9
%
5. PO
LY
GR
APH
TESTIN
G A
form
er
FB
I
dete
ctiv
e h
as
develo
ped
a v
oic
e s
tress
an
aly
sis
devic
e t
o d
ete
rmin
e w
heth
er
or
not
a p
ers
on
is
tell
ing t
he t
ruth
. H
e
claim
s th
at
the d
evic
e i
s acc
ura
te 9
5%
of
the t
ime.
Ad
dit
ion
all
y,
a t
rad
itio
nal
poly
gra
ph
mach
ine h
as
a r
ep
ort
ed
acc
ura
cy r
ate
of
80%
.
a. S
up
pose
fou
r cr
imin
al
susp
ect
s are
giv
en
th
e v
oic
e s
tress
an
aly
sis.
Acc
ord
ing t
o t
he r
ep
ort
ed
em
pir
ical
pro
babil
ity,
wh
at
is t
he p
robabil
ity
that
the d
evic
e c
an
corr
ect
ly a
naly
ze
the a
ccu
racy
of
all
fou
r su
spect
s’
state
men
ts?
Rou
nd
you
r an
swer
to t
he
neare
st t
en
th o
f a p
erc
en
t.
81.5
%
b. If
a r
an
dom
ly c
hose
n p
ers
on
is
giv
en
both
th
e v
oic
e s
tress
an
aly
sis
an
d t
he
trad
itio
nal
poly
gra
ph
to v
ali
date
his
or
her
state
men
ts,
wh
at
is t
he p
robabil
ity
that
both
devic
es
are
able
to c
orr
ect
ly
dete
rmin
e t
he a
ccu
racy
of
the p
ers
on
’s
state
men
ts?
76%
Answers (Lesson 12-7)
ERROR: undefined
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