MATH 106 Finite Mathematics

MATH 106 FINAL EXAMINATION

1. Sheila purchases a car for $24,000, makes a down payment of 25%, and finances the rest with

a 60-month car loan at an annual interest rate of 5.4% compounded monthly. What is the amount

of her monthly loan payment?

A. $457.32 C. $508.00

B. $381.00 D. $342.99

2. Find result of performing row operation 0.5

3. Customers shopping at a particular supermarket spend a mean time shopping of 47 minutes,

with a standard deviation of 11 minutes. Assuming a normal distribution, what is the probability

that a randomly chosen customer will spend between 36 and 58 minutes shopping in the

supermarket?

A. 0.3413 C. 0.6826

B. 0.9544 D. 0.7580

4. Find the values of x and y that maximize the objective function P = 9x + 5y for the feasible

region shown below.

A. (x, y) = (10, 0)

B. (x, y) = (8, 10)

C. (x, y) = (5, 15)

D. (x, y) = (0, 20)

5. Two balls are drawn in succession out of a box containing 2 red and 5 white balls. The balls

are drawn without replacement. What is the probability that both balls drawn are red?

6. Which of the following statements is NOT true? 6. ______

A. If all of the data values in a data set are identical, then the standard deviation is 0.

B. The variance can be a negative number.

C. The standard deviation is the square root of the variance.

D. The variance is a measure of the dispersion or spread of a distribution about its mean.

7. If K = {3, 7, 11, 15} and M = {7, 12, 15, 18}, list

8. Determine which shaded region corresponds to the solution region of the system of linear

inequalities:

9 – 10. At Burger Heaven a “double” contains 2 meat patties and 6 pickles, whereas a “triple”

contains (wait for it!) 3 meat patties and 3 pickles. Near closing time one day, only 24 meat

patties and 48 pickles are available. If a “double” sells for $1.50 and a “triple” sells for $2.00,

then how many of each should be made in order to maximize profit? Let x represent number of

“double” burgers and y represent number of “triple” burgers.

9. Identify the production constraint for meat patties:

A. 6

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