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MATH 170 FINAL 2

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1. Fill in the missing value. Assume simple interest.

principal $19,582

interest rate 4%

time ________

simple interest $2,349.84

A) time 3 years

B) time 4 years

C) time 2 years

2. State whether the statements are true or false: {0}=0 (zeros have slashes through them.

A) True

B) False

3. If A and B are independent events, P(A)=.4, and P(B)=.6 find P(A union B)

A) 0.76

B) 0.076

C) 0.0076

4. If A and B are independent events, P(A)=.4, and P(B)=.6 find P(A intersect B)

A) 0.24

B) 0.024

C) 0.0024

5. Evaluate the expression: 2 x 7!

A) 10,080

B) 10,280

C) 10,000

6. A jar contains 25 green, 19 white, 6 pink, and 21 orange marbles. A marble is drawn at random.P(white, green, or pink)Express the probability as a fraction.

A) 50/71

B) 71/50

C) 5/7

7. Evaluate: 5!

A) 120

B) 25

C) 5

8. A number from 15 to 26 is drawn at random.P(24)Express the probability as a percent. Round to the nearest percent.

A) 8%

B) 9%

C) 10%

9. Evaluate: 3!

A) 6

B) 3

C) 1

10. Find the probability:

A number from 10 to 22 is drawn at random. P(an odd number) Express the probability as a decimal. Round to the nearest hundredth.

A) 0.46

B) 0.17

C) 0.75

11. Using the combination formula complete the following:

How many combinations of two letters are possible from the letters U, A, and X?

A) 3

B) 5

C) 9

12. State whether the statements are true or false: ØcA

A) True

B) False

13. Fill in the missing value. Assume simple interest.

principal $87,698

interest rate ________

time 1 year

simple interest $6,138.86

A) interest rate 7%

B) interest rate 8%

C) interest rate 10%

14. A jar contains 21 pink and 26 navy marbles. A marble is drawn at random.P(navy)Express the probability as a decimal. Round to the nearest hundredth.

A) 0.55

B) 0.055

C) 0.0055

15. Find the probability. Write your answer as a percent rounded to the nearest whole percent:

A number from 8 to 16 is drawn at random. P(12).

A) 11%

B) 13%

C) 15%

16. Evaluate the expression: 6!+4!

A) 744

B) 704

C) 720

17. Evaluate the expression: 5!-3!

A) 114

B) 2

C) 8

18. Fill in the missing value. Assume simple interest.

principal $400,007

interest rate 13%

time 2 years

simple interest ________

A) simple interest $105,001.82

B) simple interest $104,001.82

C) simple interest $104,003.82

19. Evaluate the expression: 9!

A) 362880

B) 362800

20. Determine whether the events A and B are independent

P(A)=.3, P(B)=.6, P(A intersect B)=.18

A) Independent

B) Not Independent

21. State whether the statements are true or false: AcA

A) True

B) False

22. Let A and B be two events in a sample space S such that:

P(A)=.6, P(B)=.5, and P(A intersect B).2 find P(A/B)

A) 2/5

B) 5/2

23. Evaluate the expression: C(9,3)

A) 84

B) 48

C) 27

24. Fill in the missing value. Assume simple interest.

principal ________

interest rate 3%

time 1 year

simple interest $2,472.57

A) principal $82,419

B) principal $85,419

C) principal $822,419

25. Find the probability. Write your answer as a fraction in simplest form:

You roll a number cube numbered from 1 to 6. P(1).

A) 1/6

B) 6

C) 1/3

26. Determine whether the events A and B are independent

P(A)=.6, P(B)=.8, P(A intercept B)=.2

A) Independent

B) Not Independent

27. There were 13,249 weddings in Springs City last year. According to state records, notaries public performed 17% of the weddings. How many weddings were not performed by notaries public?

A) 1099

B) 10994

C) 10997

28. Find the probability. Assume that the spinner is separated into equal sections:

You flip a coin and toss a 1-6 number cube.

P(3 and heads)

A) 1/12 or 0.083

B) 1/6 or 0.167

C) 1/8 or 0.125

29. Evaluate the expression: 3 x 5!

A) 360

B) 120

C) 15

30. Evaluate the expression: P(5,5)

A) 120

B) 230

C) 25

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