APC Name: ________________________

Final Exam Review

Test #9 Review: #4, 7-10

Test #10 Review: #1-3, 9-12, 18-20,2 2

1. A recent study of iPod owners found the average life span of their iPods to be 3.7 years

with a standard deviation of 0.6 years. If a random sample of 32 people who own

iPods is selected, find the probability that the mean lifetime of the sample will be less

than 3.4 years.

2. The average electric bill for a group of residents in a subdivision is $72 for the month of

April. The standard deviation for this group is $6. The amounts of the electric bill are

normally distributed. Find the probability that the mean of the bill for 15 residents in this

subdivision will be less than $75.

3. The average repair cost microwave ovens is normally distributed. A sample of

microwaves resulted in an average repair cost of $55 with a standard deviation of $8.

If 12 microwaves are repaired, find the probability that the mean repair costs will be

greater than $60.

9. A random sample of 49 shoppers showed that they spend on average $23.45 per visit

at the Saturday Mornings Bookstore. The standard deviation of the sample was $2.80.

Find a point estimate for the population mean and a 90% confidence interval for the

true mean.

10. An irate patient complained that her doctor’s bill of $45.75 was too high. She

randomly surveyed 30 of his other patients and found that the mean amount of

money they spent on each doctor’s visit was $44.80. The standard deviation of the

sample was $3.53. Find a point estimate of the population mean and a 95%

confidence interval. Was the patient justified in his complaint?

11. In a recent study of 100 people, 85 said they were dissatisfied with their elected

officials. Find a 90% confidence interval of the people who said they are dissatisfied

with their elected officials.

12. A survey of 90 families showed that 40% owned at least one television set. Find the

95% confidence interval of the true proportion of families who own at least one

television set.

18. The restaurant, Perfect Pizza, let its customers make their own pizza. Perfect Pizza has 4

different crusts, 5 different cheeses, 3 different sauces, and 15 different toppings. In

how many ways can a customer order a one topping pizza (only one type of cheese

and one type of sauce)

19. How many different permutations of the letters BOOKKEEPPER are possible?

20. Jesse is packing for a trip. She has 20 shirts and 9 pairs of pants. How many options

does she have if she wants to take 4 shirts and 3 pairs of pants?

22. How many ways can you line up three people from 20 people?

Test #7 Review:

Add and Subtract Matrices: pg. 611 # 41, 42, 43, 47, 49

Multiply Matrices: pg. 611-612 # 53, 54, 57, 58, 59,

Solve Systems of Equations using Matrices: pg. 612 #61, 62, 63 & pg. 613 #91, 92, 93

Determine Determinants of 2x2 and 3x3 by hand: pg. 613 #97, 99, 105 (column

method)

Inverses of Matrices: pg. 612 #65, 67, 75, 77, 79, 81

Area of Triangles: pg. 613 #117, 119

Test #8 Review: #1-4, 11, 13, 17, 20, 23, 27, 29, 31

Test #11 Review: Part 1 #1-4, Part 2 #1, 3, 5, 7, 9

1. Find 4 polar coordinates of the following point P.

2. Convert (-2, 3π /4) into rectangular coordinates.

3. Convert (-2, -2√3) into polar coordinates

4. Plot the following polar coordinates on the polar grid provided. Label the point with the

corresponding letter.

A: (4, 270◦) B: (- 3, 180◦) C: (5, 5π/3) D: (-3, -3π/4)

The vector �⃗� is represented by the directed line segment PQ. Find the position vector of �⃗� and find ll�⃗�ll

1. P = (1, -2) Q = (3, -6)

Use geometric vectors to the right to find the following.

3. �⃗� + �⃗⃗⃗� 5. -2�⃗�

�⃗� = <-2, 1> and �⃗⃗⃗� = <4, 3> find the following using algebraic vectors

7. 4�⃗� – 3�⃗⃗⃗� 9. ll�⃗�ll + ll�⃗⃗⃗�ll 10.

**Statistics formula sheet and unit circle will be provided on test day**

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