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MATH 170 FINAL 1

Rating A

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

A) True B) False

2. 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

3. 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

4. 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%

5. Evaluate the expression: 2 • 7!

A) 10,080 B) 10,280 C) 10,000

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

A) 0.76 B) 0.076 C) 0.0076

7. 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%

8.Evaluate the expression: 9!

A) 362880 B) 362800

9.Determine whether the events A and B are independent P(A)=.6, P(B)=.8, P(A n B)=.2

A) Independent B) Not Independent

10.Evaluate: 3!

A) 6 B) 3 C) 1

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

A) 84 B) 48 C) 27

12.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%

13.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

14.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

15. State whether the statements are true or false: {0}=0

A) True B) False

16.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

17.State whether the statements are true or false: 0eA

A) True B) False

18.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

19.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

20.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

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

(P(A)=.6, P(B)=.5, and P(A n B).2 find P(AB)

A) 2/5 B) 5/2

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

A) 0.24 B) 0.024 C) 0.0024

23.Evaluate the expression: 3•5!

A) 360 B) 120 C)15

24.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

25.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

26.Evaluate the expression: 6!+4!

A) 744 B) 704 C) 720

27.Determine whether the events A and B are independent P(A)=.3, P(B)=.6, P(A n B)=.18

A) Independent B) Not Independent

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

A) 120 B) 230 C) 25

29.Evaluate: 5!

A) 120 B) 25 C) 5

30.Evaluate the expression: 5!-3!

A) 114 B) 2 C) 8

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