 # Math 170 final 3 | Mathematics homework help

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MATH 170 FINAL 3

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1. Evaluate the expression:   2•7!

A) 10,080

B) 10,280

C) 10,000

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

A) 84

B) 48

C) 27

3. 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

4. Evaluate: 3!

A) 6

B) 3

C) 1

5. 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

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

A) 120

B) 230

C) 25

7. 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%

8.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

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

A) True

B) False

10. 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

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

A) True

B) False

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

A) 0.76

B) 0.076

C) 0.0076

13.Determine whether the events A and B are independent

P(A)= .6, P(B)= .8, P(A Ç B)= .2

A) Independent

B) Not Independent

14. 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

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

A) 0.24

B) 0.024

C) 0.0024

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

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

A)1/ 12           or           0.083

B)1/6             or           0.167

C)  1/8            or           0.125

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

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

A) 2/5

B) 5/2

18.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%

19.Evaluate the expression: 5!-3!

A) 114

B) 2

C) 8

20. Evaluate the expression: 9!

A) 362880

B) 362800

21. 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

22.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

23.Evaluate the expression:  3 · 5!

A) 360

B) 120

C) 15

24.Evaluate the expression: 6!+4!

A) 744

B) 704

C) 720

25.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%

26.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

27.State whether the statements are true or false: {Ø}=Ø

A) True

B) False

28.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

29.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

30.Evaluate: 5!

A) 120

B) 25

C) 5

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