Math 118 Review Final-Spring 2013

7/28/2019 Math 118 Review Final-Spring 2013

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Exam

Name___________________________________

NOTE: The final exam is a short answer paper and pencil exam. The review problems are to help you practice what concepts

could be on the final exam. Remember the concept is what you want to focus on, not trying to memorize the review

problems.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Solve the problem.

1) In how many distinct ways can the letters in IMMUNOLOGY be arranged? 1)

2) A committee consisting of 6 people is to be selected from eight parents and four teachers.

Find the probability of selecting three parents and three teachers.

2)

3) A dress regularly sells for $130. The sale price is $84. Find the percent decrease of the sale

price from the regular price.

3)

4) 133 is what percent of 70? 4)

5) Numbered disks are placed in a box and one disk is selected at random. If there are 4 red

disks numbered 1 through 4, and 2 yellow disks numbered 5 through 6, find the

probability of selecting a disk numbered 3, given that a red disk is selected.

5)

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6) What number is 22% of 17? 6)

7) In how many ways can a committee of three men and four women be formed from a groupof 11 men and 11 women? 7)

8)Jeans with an original price of $44 are on sale at 25% off. What is the sale price of the jeans?

(Round to the nearest cent, if necessary.)

8)

9) Amy, Jean, Keith, Tom, Susan, and Dave have all been invited to a birthday party. They

arrive randomly and each person arrives at a different time. In how many ways can they

arrive? In how many ways can Jean arrive first and Keith last? Find the probability that

Jean will arrive first and Keith will arrive last.

9)

10) The ages of 30 swimmers who participated in a swim meet are as follows:

19, 37,31, 34, 41,19, 51, 60, 20,44,52, 20,27,29, 42, 21, 30, 21, 59, 50, 25, 38,47, 54, 34,23, 23,

42, 31, 50

Construct a grouped frequency distribution for the data. Use the classes 19 - 28, 29 - 38,

39 - 48, 49 - 58, 59 - 68.

10)

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11) 20% of what number is 90? 11)

12) Claire has received scores of 85, 88, 87, and 80 on her algebra tests. What is the minimumscore she must receive on the fifth test to have an overall test score average of at least 82? 12)

Use the formula for nCr to evaluate the expression.

13)9C3

6C4

13)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.

14) If 6 times a number is added to - 5, the result is equal to 11 times the number. Find the number. 14)

A) 2 B) 1 C) - 1 D) - 2

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Solve the system by graphing. Check the coordinates of the intersection point in both equations.

15) y=-x - 5

2y - 5x =4

15)

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The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total

amount due at time t. Round answer to the nearest cent.

16) P=$160

r=8%

t=3 years

16)

The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the

money. Assume 360 days in a year and round answer to the nearest cent.

17) P=$11,000.00

r=10%

t=120 days

17)

Find the a. standard deviation and b. range for the group of data items (to the nearest hundredth).

18) 15, 16, 17, 18, 19 18)

You are dealt one card from a 52-card deck. Find the probability that you are not dealt:

19) a diamond. 19)

You are dealt one card from a 52-card deck. Find the probability that you are dealt:

20) a numbered card or a club 20)

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Solve the system by the substitution method. Be sure to check all proposed solutions.

21) x +3y=96

y=4x +6

21)

For the given data set, find the a. mean b. median c. mode (or state that there is no mode) d. midrange.

22) Ages of teachers in the mathematics department of a certain high school:

29, 55, 33, 58, 29, 55, 29, 47, 47, 45

22)

The principal P is borrowed and the loan's future value, A, at time t is given. Determine the loan's simple interest rate, r,

to the nearest tenth of a percent.23) P=$170

A=$205.70

t=3 years

23)

Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7

rule to find the percentage of buyers who paid:

24) between $147,700 and $152,300 if the standard deviation is $2300. 24)

25) less than $145,600 if the standard deviation is $2200. 25)

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Evaluate f(x) for the given values for x. Then use the ordered pairs (x, f(x)) from your table to graph the function.

26) f(x)=(x - 1)2

x f(x)

0

1

2

3

4

26)

A set of data items is normally distributed with a mean of 500. Find the data item in this distribution that corresponds to

the given z-score.

27) z =1.5, if the standard deviation is 30. 27)

Convert the given Celsius temperature to its equivalent temperature on the Fahrenheit scale. Where appropriate, round to

the nearest tenth of a degree.

28) - 9C 28)

Use the empirical probability formula to solve the exercise. Express the answer as a fraction. Then express the probability

as a decimal, rounded to the nearest thousandth, if necessary.

29) In 1999 the stock market took big swings up and down. A survey of 991 adult investors

asked how often they tracked their portfolio. The table shows the investor responses. What

is the probability that an adult investor tracks his or her portfolio daily?

How frequently? Response

Daily 236

Weekly 284

Monthly 277Couple times a year 137

Don't track 57

29)

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Use a table of z-scores and percentiles to find the percentage of data items in a normal distribution that lie between:

30) z =- 2 and z =-0.6 30)

The principal represents an amount of money deposited in a savings account subject to compound interest at the given

rate. Find how much money will be in the account after the given number of years (Assume 360 days in a year.), and how

much interest was earned.

A=P 1 +r

n

ntP=

A

1 +r

n

nt A=Pert Y = 1 +

r

n

n- 1

31) Principal: $8500

Rate: 7%

Compounded: quarterly

Time: 3 years

31)

Solve the problem by applying the Fundamental Counting Principle with two groups of items.

32) A restaurant offers a choice of 4 salads, 5 main courses, and 4 desserts. How many possible

3- course meals are there?

32)

Solve the problem that involves computing expected values in a game of chance.

33) A numbers game run by many state governments allows a player to select a three-digit

number from 000 to 999. There are 1000 such numbers. A bet of $13 is placed on a

number. If the number is selected, the player wins $1300. If any other number is selected,

the player wins nothing. Find the expected value for the game.

33)

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Use the x- and y-intercepts to graph the linear equation.

34) x - 3y=-9 34)

Convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Where appropriate, round to

the nearest tenth of a degree.

35) 94F 35)

Determine the present value, P, you must invest to have the future value, A, at simple interest rate r after time t. Round

answer to the nearest dollar.

36) A=$8567.50

r=14.5%

t=20 months

36)

Use dimensional analysis to convert the quantity to the indicated units. If necessary, round the answer to two decimal

places.

37) 31,680 ft to mi 37)

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The scores on a driver's test are normally distributed with a mean of 100. Find the score that is:

43) Find the score that is 21

2standard deviations below the mean, if the standard deviation is

22.

43)

Use dimensional analysis to convert the unit indicated.

44) 150 in. to dam 44)

Convert the given unit of weight to the unit indicated.

45) 4 g to cg 45)

Solve the system by the addition method. Be sure to check all proposed solutions.

46) x - 5y=29

- 6x - 6y=42

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In the following problem: a. Put the equation in slope-intercept form.

b. Identify the slope and y-intercept. c. Graph the line.

47) 6x +y =6 47)

Evaluate the factorial expression.

48)6!

(6 - 2)!48)

Convert as indicated.

49) 840m3 to t 49)

Use dimensional analysis to convert the given square unit to the square unit indicated. Where necessary, round the

answer to two decimal places.

50) 70 m2 to yd2 50)

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Simplify the algebraic expression.

56) - 4(2x - 8) - 4x+7 56)

Solve and check the equation. Begin your work by rewriting the equation without fractions.

57)9x

4- x =

x

28-

8

757)

Use the formula for nPr to solve.

58) A club elects a president, vice-president, and secretary- treasurer. How many sets of

officers are possible if there are 13 members and any member can be elected to eachposition? No person can hold more than one office.

58)

Solve the problem that involves probabilities with events that are not mutually exclusive.

59) An ice chest contains 6 cans of apple juice, 8 cans of grape juice, 5 cans of orange juice, and

4 cans of pineapple juice. Suppose that you reach into the container and randomly select

three cans in succession. Find the probability of selecting no grape juice.

59)

Use dimensional analysis to convert the given quantity to the units indicated. When necessary, round answers to two

decimal places.

60) 370 kg to lb 60)

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Math 118 Review Final-Spring 2013

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