Topic 5Topic 1 Topic 2 Topic 3 Topic 4

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Topic 1 – 10 Points

QUESTION:

•Analyze the matrix. [1 0 3 0 0 1 2 0 0 0 0 1 0 0 0 0] ANSWER:

•System is inconsistent.

Topic 1 – 20 Points

QUESTION:

ANSWER:

•(type answer here)

Topic 1 – 30 Points

QUESTION:

•Solve using calculator.

ANSWER:

•(4,-3,1)

Topic 1 – 40 Points

QUESTION:

•The school year book costs $15per book to produce with an overhead of $5500. The year book sells for $40. What is the break-even point?

ANSWER:

•220

Topic 2 – 10 Points

QUESTION:

• [1 5 3]* [1 6 2 9]ANSWER:

•No solution.

Topic 2 – 20 Points

QUESTION:

•Solve using calculator• A=[2 4 -1 B=[2 5 1 4• 5 8 0] 4 8 0 6• -3 1 -2 -1]ANSWER:

•[23 41 4 33• 42 89 5 68]

Topic 2 – 30 Points

QUESTION:

• solve by hand.•A=[3 1 5• -2 0 6] fine 4AANSWER:

•[12 4 20• -8 0 24]

Topic 2 – 40 Points

QUESTION:

•Calculate the sample variance for set S1•S1=4,6,8,10,12,14,16ANSWER:

•18.67

Topic 3 – 10 Points

QUESTION:

•Graph 2X+3Y≥6

ANSWER:

•(type answer here)

Topic 3 – 20 Points

QUESTION:

•Graph 2X-Y≤-4• X+Y≥-1

ANSWER:

•(type answer here)

Topic 3 – 30 PointsQUESTION:

•Mike’s famous toy trucks manufactures two kinds of toy trucks-a standard model and a deluxe model. Each standard model required 2hrs of grinding and 2 hrs of finishing, and each deluxe model needs 2 hrs of grinding and 4 hrs of finishing. The company has 2 grinders and 3 finishers. Each of whom works at most 40 hrs per week. Each standard model truck brings a profit of $3 and each deluxe model a profit of $4.assuming every truck made will be sold, how many of each should be made to maximize profit?ANSWER:

P=$140

Topic 3 – 40 Points

QUESTION:•A student receives a grade of 82 on a final exam in biology for which the mean is 73 and standard deviation is 9. in his final exam in sociology for which the mean grade is 81 and standard deviation is 15, he receives an 89. in which exam is his relative standing higher?

ANSWER:

•Biology.

Topic 4 – 10 Points

QUESTION:•A person borrows $1000 for a period of six months. What simple interest rate is being charged if the amount A that must be repaid after six months is $1045?ANSWER:•9%

Topic 4 – 20 Points

QUESTION:

•Ms. Miranda decides to put $50 aside every month in an bank guaranteed-interest account paying 4% interest compound monthly, she begins this saving program when her daughter is 3 years old. How much will she have saved by the time she makes the 180th deposit? How old is her daughter at this time?

ANSWER:

•A=12304.52•Her daughter is 18 years old at this time.

Topic 4 – 30 Points

QUESTION:•Joan is 20 years away from retiring and starts saving $100 a month in an account paying 6% compounded monthly. When she retires, she wished to withdraw a fixed amount each month for 25 years. What will this fixed amount be?ANSWER:•$297.69

Topic 4 – 40 Points

QUESTION:

•Find the mode, mean, median of the following•2,2,2,3,3,7,7,7,11,15

ANSWER:

•Mode:2 and 7•Mean :5.9•Median:5

Topic 5 – 10 Points

QUESTION:

•A survey group of children indicated there was 25 with brown eyes and 15 with black hair. If 10 children had both brown eyes and black hair, how many children interviewed had either brown eyes or black hair?

ANSWER:

•20

Topic 5 – 20 Points

QUESTION:

•If P(E)=0.30,P(F)=0.20, and the probability of E or F is 0.40, what is the probability of E and F?

ANSWER:

•0.10

Topic 5 – 30 Points

QUESTION:

•Three machines ,I,II,III, manufacture 0.4,0.5 and 0.1 of the total production in a plant respectively. The percentage of defective items produced by I ,II and III is 2%, 4%, and 1%, respectively. For an item chosen at random, what is the probability that it is defected.

ANSWER:

•0.029

Topic 5 – 40 Points

QUESTION:

•A pitcher gives up a hit on the average of once every five pitches. If nine pitches are thrown, what is the probability that •Exactly three pitches result in hits•No pitch results in a hitANSWER:

•.176•.134