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Topic 1
Topic 2
Topic 3
Topic 4
Topic 5
10
10
10
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20
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30
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Topic 1 – 10 Points
QUESTION:
•Analyze the matrix.
[1 0 3 0
0120
0001
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]
4806
•
-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]
ANSWER:
•[12 4 20
• -8 0 24]
fine 4A
Topic 2 – 40 Points
QUESTION:
•Calculate the sample variance for set S1
•S1=4,6,8,10,12,14,16
ANSWER:
•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 Points
QUESTION:
•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 hit
ANSWER:
•.176
•.134