# Several math questions

Question 1

A $400 loan is to be paid off in 66 monthly payments of $11.62. The borrower decides to pay off the loan after 18 payments. Use the rule of 78s to find the amount of interest saved.

$194.13

$200.33

$195.16

$194.62

2.A pair of cuff links which sells for $100.00 has a markup rate of 10% on the selling price. Find the amount of the markup and the cost.

Markup Amount = $10.00, Cost = $90.00

Markup Amount = $20.00, Cost = $80.00

Markup Amount = $0.00, Cost = $100.00

Markup Amount = $10.00, Cost = $100.00

3. coat with an original price of $300.00 is on sale for $285.00. Find the percent of the markdown.

10%

3%

95%

5%

4. Express 3.46 as a percent.

0.0346%

34.6%

346.0%

3.46%

5.

Find the future value of an annuity if you invest $1,550 annually for 5 years at 11.5% compounded annually.

$9,800.05

$9,729.30

$9,849.67

$9,749.55

6.

The odds in favor of an event are 10:1. Find the probability that the event will occur.

9/11

10/11

1/10

9/10

7.

A lottery has one $2000 prize, two $1000 prizes, and ten $500 prizes. Two thousand tickets are sold at $5 each. Find the expectation if a person buys two tickets.

-$0.50

-$1.00

-$2.00

-$0.25

8.

Find the missing numbers.

Markup Rate = 21%, Markup Amount = $102.00

Markup Rate = 19%, Markup Amount = $92.00

Markup Rate = 21%, Markup Amount = $92.00

Markup Rate = 10%, Markup Amount = $44.00

9.

A pair of shoes with an original price of $300.00 is on sale for $210.00. Find the percent of the markdown.

28%

30%

70%

35%

10.

How many 3-digit codes using the digits 0 through 9 are possible if repetitions are allowed?

504

729

30

1000

11.

When a single card is drawn from a shuffled deck of cards, find the odds against getting a 9.

1:12

12:1

51:1

1:51

12.

A single card is drawn from a deck. Find the probability of selecting a 3 or a club.

7/52

17/52

4/13

9/26

13.

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a heart and a jack.

1/13

1/26

4/13

1/52

14.

Find the compound interest.

$691.20

$2,264.52

$2,277.77

$2,272.48

15.

In a classroom, the students are 11 boys and 1 girls. If one student is selected at random, find the probability that the student is a girl.

1/12

6/11

1/5

5/6

16.

Find the missing value.

7 years

6.5 years

5.5 years

4 years

17.

How many ways can a person select four books, two CDs, and one DVD from ten books, twenty CDs, and five DVDs?

8,000

405

6,724,520

199,500

18.

Express 81.6% as a decimal.

0.816

81.6

8,160

8.16

19.

How many different three letter permutations can be formed from the letters in the word clipboard?

336

544,320

504

729

20.

Find the effective rate when the stated rate is 13.5% and the interest is compounded semiannually.

13.21%

14.21%

13.96%

15.01%

21.

Use a scatter plot to deternine the relationship between the x values and the y values.

Negative linear relationship

Nonlinear relationship

No relationship

Positive linear relationship

22.

The average hourly wage of employees of a certain company is $9.83. Assume the variable is normally distributed. If the standard deviation is $4.58, find the probability that a randomly selected employee earns less than $5.43.

0.313 = 31.3%

0.332 = 33.2%

0.168 = 16.8%

0.345 = 34.5%

23.

The average amount customers at a certain grocery store spend yearly is $636.55. Assume the variable is normally distributed. If the standard deviation is $89.46, find the probability that a randomly selected customer spends between $550.67 and $836.94.

0.144 = 14.4%

0.820 = 82.0%

0.156 = 15.6%

0.943 = 94.3%

24.

Find the equation of the regression line.

y = -1.2 + 2.4x

y = 1.2 + 2.4x

y = 2.4 + 1.2x

y = -2.4 + 1.2x

25.

Find the value for the correlation coefficient r.

0.763

0.874

0.551

0.968

26.

Find the standard deviation.

44 46 33 10 50 27

1694

186.67

14.97

224

27.

Find the area under the normal distribution curve to the right of z = -1.03.

0.151

-0.349

0.349

0.849

28.

Find the area under the normal distribution curve to the right of z = -3.24.

0.499

-0.499

0.999

0.001

29.

Kate scored in the 95th percentile rank on an exam. If 400 students took the exam, how many students scored lower than Kate?

379

381

378

380

30.

To select a _________ sample, an intact group of subjects that represent the population is selected.

stratified

random

cluster

systematic

31.

A data set of size 19 has correlation coefficient of r = -0.432. Test the significance of r at the 5% level and at the 1% level.

r is significant at 5% and at 1%.

r is significant at 5%, but not at 1%.

r is is not significant at 5% or at 1%.

32.

The area under a normal distribution curve that lies within one standard deviation of the mean is approximately _____.

95%

99.7%

68%

65%

33.

Which of the following is not a property of a normal distribution?

It never touches the x-axis.

It is continuous.

The mean, median, and mode are equal.

It is bimodal (i.e., it has two modes).

34.

Use a scatter plot to deternine the relationship between the x values and the y values.

No relationship

Nonlinear relationship

Positive linear relationship

Negative linear relationship

35.

Find the equation of the regression line.

y = 1.7 + 1.9x

y = 2.5 + 2.7x

y = 1.9 + 1.7x

y = 2.7 + 2.5x

36.

Find the median.

2 27 38 55 49 9 53 34

38

36

33.375

34

37.

Find the area under the normal distribution curve between z = -1.34 and z = 2.95.

0.908

0.088

0.410

0.498

38.

Determine whether a correlation coefficient of r = -0.405 is significant at the 5% level for a sample size of 22.

r is not significant at 5%.

r is significant at 5%.

39.

Find the area under the normal distribution curve between z = 1.52 and z = 2.43.

0.929

0.436

0.493

0.057

40.

Use the equation of the regression line to predict y when x = 20.

45.5

50

40

48.5

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Solutions to all the problems are provided.