Practice Final Exam
ROUND ALL OF YOUR ANSWERS TO THE
SAME NUMBER OF DECIMAL PLACES AS THE OPTIONS HAVE.
1 A survey of 81 students asked whether or not they eat at the Pneumatic Diner. 65 students said
they do. Find the confidence interval for the 95. 0% confidence level. Round your z-score to
two decimal places in this problem.
a. 0. 693 58, 0. 911 36 b. 0. 688 02, 0. 916 91 c. 0. 699 14, 0. 905 8 d. 0. 584 69, 1. 020 2
e. None of these
2 A 27 year loan is taken out with a future value of 12 038 dollars. If the loan is a compound
interest loan at 6. 4 percent compounded monthly, what is the present value of the loan.
a. 1968. 3 b. 2148. 3 c. 1. 042 8 × 10 4 d. 1984. 3 e. None of these
3 Susan Wallace is standing 12. 0 feet from a tree and measures the angle from the ground to the
top of the tree to be 36. 0 °. How tall is the tree?.
a. 9. 708 2 ft b. 8. 718 5 ft c. 7. 053 4 ft d. 16. 517 ft e. None of these
4 If you are driving 28 miles per hour, how many feet will you travel in 59 seconds?
ft e. None of these
a. 3615344 ft b. 3615344 ft c. 1211390 ft d. 885
616
5 If an insurance company wants to make an average of 18% of the total policy cost (to the
customer) on each of its insurance policies. Someone wants insurance for a painting worth
$5165 and a vase worth $9971. In a given year the insurance company estimates that the
probability the painting will need to be replaced is 0. 004 3, and the probability that the vase will
need to be replaced is 0. 003 8. If the insurance company believes that in a given year the
probability the painting or the vase will need to be replaced is 0. 007 5 what should the yearly
insurance premium be?
a. $73. 29 b. $72. 64 c. $74. 06 d. $72. 7 e. None of these
6 Given the following data set, find the standard deviation.
Value Frequency
20
4
21
8
22
3
23
7
24
7
25
8
a. ≈ 2. 926 2
b. ≈ 3. 007 5
c. ≈ 1. 710 6
d. ≈ 1. 734 2
e. None of these
7
b
a
h
Find the volume of the material needed to make the hollow cylinder if a = 5 , b = 4 and
h = 29.
a. 5453. 8 b. 4222. 3 c. 2902. 8 d. 5101. 9 e. None of these
8 Given the set A = 4, 1, 5, 7, 13 and B = 3, 2, 7, 5, 12, find A ∩ B.
a. 5, 7, 12 b. 5, 7, 13 c. 5, 7 d. 1, 2, 3, 4, 5, 7, 12, 13 e. None of these
9 What is the probability of winning first prize in a 42/6 lottery (The lottery has 42 numbers, 6 are
chosen as winners, and the player chooses 6 numbers)?
a. 2. 001 6 × 10 −7 b. 2. 096 9 × 10 −7 c. 1. 849 1 × 10 −7 d. 1. 906 3 × 10 −7 e. None of these
10 A survey stated that 700 people were asked whether or not they liked tofu. 670 people said they
did. The study concluded that 87. 8% ± 4. 403 3% of people like tofu. What confidence level
did they use? Round your z-score to two decimal places in this problem.
a. 95% b. 90% c. 97% d. 98% e. 75% f. None of these
11 What is the future value of an ordinary annuity with monthly payments of 150 dollars at 7. 6%
for 14 years?
a. 433. 23 b. 4. 500 5 × 10 4 c. 4. 472 1 × 10 4 d. 6. 840 6 × 10 4 e. None of these
12 What is the probability of being dealt a four of a kind in five card poker?
a. 2. 160 9 × 10 −4 b. 2. 401 0 × 10 −4 c. 2. 449 0 × 10 −4 d. 2. 473 0 × 10 −4
e. None of these
13 Beryllium 7 has a half life of 53. 28 days. If you start with 185 grams, how many days will it be
until there is only 38. 9 grams remaining?
a. 119. 86 b. 57. 589 c. 123. 26 d. 116. 06 e. None of these
14 Given the following data set, find the mean.
Value Frequency
0
6
1
95
2
67
3
44
4
84
5
50
a. ≈ 2. 785 3
b. 3
c. ≈ 23. 067
d. ≈ 2. 737 0
e. None of these
15 If you draw a single card from a 52 card deck what is the probability of drawing a 10 of spades
given the card drawn is black?
a. 1. 923 1 × 10 −2 b. 0. 153 85 c. 7. 692 3 × 10 −2 d. 3. 846 2 × 10 −2 e. None of these
16 The grades given in a chemistry class are normally distributed with a mean of 67 and a variance
of 139. Given a random chemistry student, find the probability the student receives a grade
between 80% and 90%.
a. ≈ 7. 340 0 × 10 −2 b. ≈ 0. 600 43 c. ≈ 0. 537 26 d. ≈ 0. 109 55 e. ≈ 0. 974 46
17 A population of ants is growing exponentially. If the population starts with 161 ants and after
18 days there are 252 ants, when will there be 1368. 0 ants?
a. 103. 97 b. 85. 965 c. 21. 769 d. 91. 465 e. None of these
Answer Key
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The answer is 0. 693 58, 0. 911 36.
The answer is 2148. 3 dollars.
The answer is 8. 718 5 ft
The answer is 3615344 ft
The answer is 73. 29 dollars.
The answer is ≈ 1. 710 6.
The answer is 5101. 9.
The answer is A ∩ B = 5, 7.
The answer is pA = 1. 906 3 × 10 −7 .
The answer is 98%.
The answer is 4. 472 1 × 10 4 dollars.
The answer is pH = 2. 401 0 × 10 −4 .
The answer is y = 119. 86
The answer is ≈ 2. 737 0.
The answer is 3. 846 2 × 10 −2 .
The answer is ≈ 0. 109 55.
The answer is y = 85. 965