Free Printable Last Day of Math 4 Exam Review

1.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

2.

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

a)

152.7 feet

b)

166.3 feet

c)

157.3 feet

d)

131.7 feet

3.

When is this function increasing?

a)

(-2.5, 2.5)

b)

(0,5)

c)

(0 , 55)

d)

( -5, 0)

4.

Solve: $3^x=18$

a)

x = 6

b)

x = 2.5

c)

x = 2.63

d)

2.47

5.

$4\log_4u-6\log_4v$ Condense

a)

$\log_4\left(\frac{u}{v}\right)^{24}$

b)

$\log_4\left(\frac{u^6}{v^4}\right)^{ }$

c)

$\log_4\left(\frac{u^4}{v^6}\right)^{ }$

d)

$\log_4\left(\frac{v^6}{u^4}\right)^{24}$

6.

Which function has a range $\left[-4,\infty\right)$ ?

a)

b)

c)

d)

None of the above

7.

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles. What is the diagonal distance it has traveled from take off to it's current position?

a)

15 miles

b)

38 miles

c)

17 miles

d)

20 miles

8.

Jack is flying his kite. He runs 100 feet away from his house and lets out 75 feet of string. The angle of elevation from the ground to the kite is 65 degrees. How far away is the kite from the house?

a)

9285.73 ft

b)

96.36 ft

c)

24061.81 ft

d)

155.12 ft

9.

find X

a)

52

b)

33

c)

41

d)

29

10.

Find angle Z

a)

20.145 degrees

b)

71.232 degrees

c)

51.055 degrees

d)

57.713 degrees

11.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

44 feet

c)

81 feet

d)

185 feet

12.

For what interval is the height of the projectile above 120 feet?

a)

[1, 6]

b)

[120, 200]

c)

[0, 7]

d)

[3, 4]

13.

Joey must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 860 feet from point A and 175 feet from Point B. He measures the angle at Point C to be 78 degrees. Find the distance from point A to point B.

a)

707643.58

b)

841.22

c)

877.62

d)

845.01

14.

What is the base of $\log_3\left(x+9\right)=5$

a)

3

b)

(x+9)

c)

x

d)

5

15.

Solve: $\log_7\left(x-3\right)=2$

a)

x = 5

b)

x = 46

c)

x = 52

d)

x = 10

16.

Solve the equation. Round answers to the nearest thousandth. $\log_7\left(-3x-2\right)=\log_7\left(-x+4\right)$

a)

-10

b)

-5

c)

.933

d)

-3

17.

Solve for x:

log₅(4x-7)=log₅(x+5)

a)

3

b)

12

c)

4

d)

7

18.

For the pictured polynomial, at which interval is it decreasing?

a)

(-∞, 2)

b)

(-2, 0)

c)

(0, ∞)

d)

(-3, 1)

19.

For the pictured polynomial, how many relative maximas are there?

a)

1

b)

2

c)

3

d)

4

20.

What was the initial height of the projectile?

a)

50

b)

0

c)

200

d)

6.75

21.

What is the maximum height?

a)

200

b)

50

c)

3

d)

0

22.

Condense

a)

A

b)

B

c)

C

d)

D

23.

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

24.

In Chicago during 1939, Rudolph was created as a promotional figure for which department store?

a)

Montgomery Wards

b)

Macy's

c)

Dillard's

d)

J.C. Penney's

25.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

26.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

27.

What are all the x-intercepts?

a)

(-2.55, 0), (2.55, 0)

b)

(-3,0), (-2,0), (2,0), (3,0)

c)

(0, 36)

d)

(-∞,∞)

28.

What are all the y-intercepts?

a)

(0, -6.25)

b)

(-3,0), (-2,0), (2,0), (3,0)

c)

(0, 36)

d)

(-∞, ∞)

29.

What is the name for trees that have always have leaves during winter?

a)

Palm

b)

Evergreen

c)

Deciduous

d)

Cedar

30.

What is the maximum?

a)

None

b)

(0,4)

c)

(3,1)

d)

y = -1

31.

Which of the following functions does NOT have the domain of

\left(-\infty,\ \infty\right)

?

a)

b)

c)

d)

32.

On which interval is the graph decreasing?

a)

[-5,-3]

b)

[-3,-1]

c)

[1,4]

d)

[5,∞)

33.

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.

a)

34 degrees

b)

56 degrees

c)

72 degrees

d)

15 degrees

34.

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

a)

10 feet

b)

7.5 feet

c)

8.3 feet

d)

3.8 feet

35.

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

a)

66 degrees

b)

80 degrees

c)

30 degrees

d)

19 degrees

36.

Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be?

a)

5.3 feet

b)

2.8 feet

c)

3.2 feet

d)

11.3 feet

37.

A power line stretches from the top of a building to the ground. The power line is 100 ft. long and the building is 50 ft. tall. What is the horizontal distance from the end of the power line to the building?

a)

220.3 ft.

b)

100 ft.

c)

86.6 ft.

d)

73.8 ft.

38.

A triangle with two sides that measure 6 m and 8 m with an included angle of 137°. (Creates SAS)

a)

17.8m

b)

14.6m

c)

13.0m

d)

12.9m

39.

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63. How far away is the bird from Amanda?

a)

25.23

b)

23.19

c)

22.15

d)

20.85

40.

Expand

a)

log₈x+log₈y+log₈z

b)

5log₈x+5log₈y+5log₈z

c)

log₈xy+5log₈z

d)

log₈x+log₈y+5log₈z

41.

Write the expression as a single logarithm. Then simplify if possible.

log₅3 + log₅6 + log₅9

a)

log₅69

b)

log₅56

c)

log₅162

d)

log₅98

42.

Condense

a)

A

b)

B

c)

C

d)

D

43.

Expand

a)

A

b)

B

c)

C

d)

D

44.

Add the matrices together and select the correct answer.

a)

-1 -8

-6 -3

11 -7

b)

-1 0

6 -3

11 -7

c)

5 8

10 3

11 9

d)

no solution

45.

Add the matrices together and select the correct answer.

a)

7 4 1

0 -2 -8

b)

13 10

5 -3

c)

7 4

0 -2

-10 -1

d)

no answer

46.

Subtract the matrices and select the correct answer.

a)

-1 0

6 -3

11 -7

b)

5 -8

10 -3

-11 7

c)

5 0

6 -3

-11 7

d)

-1 0

10 3

-11 7

47.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

48.

Find A+B

a)

8 10
8 1

b)

12 25
7 1

c)

10 30
0 1

d)

can't add two together because the rows dont match columns

49.

What is the value of element M_3,4?
(Think about what is in the 3rd row and 4th column)

a)

34

b)

42

c)

37

d)

π

50.

Find A-B

a)

-3 1
7 -1

b)

1 0
1 -4

c)

-4 0
6 -1

d)

not possible because rows do not match columns

51.

Given these matrices find B - A

a)

b)

c)

d)

52.

These matrices are being multiplied. Determine the dimension/size of the new matrix.

a)

Can't multiply them

b)

4 x 2

c)

3 x 3

d)

4 x 3

53.

In Matrix R (pictured) what element is a₂₃?

a)

8

b)

9.01

c)

6

d)

1

54.

Find the product of the two matrices.

a)

undefined

b)

-3 16
17 12
8 -10

c)

3 12
-15 -8
-1 -3

55.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

56.

These matrices are being multiplied. Determine the dimension/size of the new matrix.

a)

Can't multiply them

b)

4 x 2

c)

3 x 3

d)

4 x 3

57.

Perform scalar multiplication on the matrix

a)

A

b)

B

c)

C

d)

D

58.

Find the magnitude of the vector <2, -3>.

a)

√11

b)

13

c)

√-4

d)

√13

59.

If vector a= (4, -5) and vector b= (-7, 4) Find a+b

a)

(3, 9)

b)

(-3, -1)

c)

(11, 1)

d)

(-3, -9)

60.

If vector a= (4, -5) and vector b= (-7, 4) Find a-b

a)

(-11, -9)

b)

(11, 9)

c)

(11, -9)

d)

(-3, -1)

61.

Let vector a= (5, -7) and vector b= (-12, 2) Find 2b-4a

a)

(44, -32)

b)

(-4, 24)

c)

(-44, 32)

d)

(4, -24)

62.

Find the resultant vector.

a)

<5, 3>

b)

<1, 7>

c)

<7, 1>

d)

<3, 5>

63.

Find the resultant vector.

a)

<9, 15>

b)

<7, 17>

c)

<15, 9>

d)

<11, 13>

64.

Find the resultant vector.

a)

<-10, 10>

b)

<10, -10>

c)

<15, 25>

d)

<25, 15>

65.

Find the resultant vector.

a)

<-7, -1>

b)

<5, 3>

c)

<1, -9>

d)

<8, 11>

66.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

69.

What is the simplified form of (-3 + 2i)(1- 4i)

a)

-2 - 2i

b)

5 + 14i

c)

-11 -10i

d)

-3 -8i

70.

What is the simplified form of (-6i)(3i)

a)

-18

b)

-18i

c)

18

d)

-18i²

71.

(3+4i)(-8-i)

a)

-5+3i

b)

-24-4i

c)

-24-4i²

d)

-20

e)

-20-35i

72.

a)

21 - 16i

b)

21 -24i

c)

11 - 16i

d)

11 - 24i

73.

a)

2 + 12i

b)

-34 + 12i

c)

34 + 12i

d)

-2 + 12i

74.

a)

8 + 14i

b)

3 + 14i

c)

13 + 14i

d)

11 + 14i

75.

a)

15i

b)

9 + 6i

c)

-3i

d)

-9 + 6i

76.

Simplify $\frac{8+5i}{1-7i}$

a)

$\frac{-3+76i}{65}$

b)

$\frac{11+77i}{50}$

c)

$\frac{-11-5i}{7}$

d)

$\frac{-27+61i}{50}$

77.

Simplify $\frac{-4+12i}{-9+5i}$

a)

$\frac{-27-15i}{53}$

b)

$\frac{48-44i}{53}$

c)

$\frac{7}{4}-3i$

d)

$\frac{108-124i}{169}$

78.

Simplify $\frac{14}{7-6i}$

a)

$\frac{98+84i}{85}$

b)

$\frac{35+21i}{34}$

c)

$\frac{7+7i}{6}$

d)

$\frac{112+96i}{85}$

79.

What's your favorite subject in school?

a)

Categorical

b)

Quantitative

80.

How many states have you visited in your lifetime?

a)

Categorical

b)

Quantitative

81.

Where do you plan on attending college?

a)

Categorical

b)

Quantitative

82.

How many siblings do you have?

a)

Categorical

b)

Quantitative

83.

Which of the following is an example of categorical data?

a)

High School Graduate or Not

b)

Annual Income

c)

Years of Schooling Completed

d)

Years of playing an instrument

84.

Which of the following is an example of quantitative data?

a)

High School Graduate or Not

b)

Monthly paycheck amount

c)

Whether or not you are employed

d)

What type of vehicle you drive

85.

According to the Internet Movie Database, Avatar is tops based on box-office receipts worldwide. The table displays data on several popular movies. Identify the individuals in this data set.

a)

The movie titles

b)

The year

c)

The rating

d)

The Genre

e)

The running time

86.

According to the Internet Movie Database, Avatar is tops based on box-office receipts worldwide. The table displays data on several popular movies. Identify the variables in this data set.

a)

Movie titles, year, ratings, time, and genre

b)

Year, ratings, time, genre, and box office earnings

c)

Movie titles, ratings, and genre

d)

Year, time, and box office earnings.

87.

How many cities have temperatures between 70 degrees and 99 degrees?

a)

44

b)

34

c)

26

d)

62

88.

Neal is going to buy an automobile and needs to spends less than $35,000 in order to afford the monthly payment. Looking at the histogram, how many automobiles does Neal have to choose from?

a)

105

b)

35

c)

20

d)

125

89.

What is the range for this data set? Remember to subtract the minimum value from the maximum value.

a)

10

b)

15

c)

25

d)

30

90.

What is the median for this data set? Remember to rank the data in order from least to greatest, then find the median, which is the middle number in the ranked set of data.

a)

55

b)

60

c)

70

d)

75

91.

What is the mean (average) for this data set? Remember to add all of the data then divide by the total number of data collected.

a)

60

b)

62

c)

64

d)

66

92.

What is the mode for this data set? Remember the mode is the most common or most frequent data.

a)

150

b)

170

c)

180

d)

190

93.

What is the maximum value for this data set?

a)

90

b)

96

c)

102

d)

108

94.

What is the minimum value for this data set?

a)

78

b)

72

c)

66

d)

60

95.

What is the shape of the data?

a)

symmetrical

b)

skewed left

c)

skewed right

d)

bell curve

96.

What is the shape of the data?

a)

symmetrical

b)

skewed left

c)

skewed right

d)

bell curve

97.

What is shape of the data?

a)

symmetrical

b)

skewed left

c)

skewed right

d)

bell curve

98.

Which car club has the higher median?

a)

Cruisers

b)

Car Hops

c)

Neither. Can't determine median from the graph.

99.

What is the interquartile of this data?

a)

50

b)

90

c)

110

d)

100

100.

What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

101.

What is the median of this data?

a)

40

b)

90

c)

100

d)

140

e)

150

102.

While doing a project for P. E. class, Ling researched the number of athletes competing in an international sporting event.

How many countries have exactly 32 athletes?

a)

4

b)

3

c)

6

d)

1

103.

A Technical Assistance Manager monitored his customers' wait times.

What is the shortest wait time?

a)

30 minutes

b)

48 minutes

c)

31 minutes

d)

71 minutes

104.

Find the sample standard deviation.
2 6 15 9 11 22

a)

49.37

b)

7.03

105.

What is the standard deviation for the data set given below? Data comes from a population.
{ 5, 10, 7, 12, 0, 20, 15, 22, 8, 2 }

a)

6.89

b)

10.1

c)

7.26

d)

9

106.

The prices at several different stores for a pair of shoes are shown below.
$78, $79, $81, $82, $83
Two days later, another store has the same shoes on sale for $65. How does the new price affect the data?

a)

Only the range was affected.

b)

The median increased, and the range increased.

c)

The mean increased, and the range increased.

d)

The mean decreased and the range increased.

107.

Gabriella’s quiz grades are shown below.
88, 92, 92, 96, 98
Gabriella scored a 20 on her sixth quiz. What effect does this score have?

a)

The low score causes the median to increase.

b)

The low score causes the median to decrease.

c)

The low score causes the mean to increase.

d)

The low score causes the mean to decrease.

108.

A realtor wants to give a customer an idea of housing prices in a neighborhood. All the houses are priced within $20,000 of one another, except one house that is much larger and more expensive than the rest. Which measure(s) of central tendency will be most affected by the one expensive house?

a)

Mode only

b)

Mean only

c)

Both mode and mean

d)

Both mean and median

109.

A value that is much higher or much lower than the other values in a set of data.

a)

Outlier

b)

Box Plot

c)

Range

d)

Histogram

110.

a)

a

b)

b

c)

c

d)

d

111.

When comparing data sets, a higher Standard Deviation indicates...

a)

More consistency and less variability

b)

Less consistency and less variability

c)

More consistency and more variability

d)

Less consistency and more variability

112.

a)

a

b)

b

c)

c

d)

d

113.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

114.

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

a)

0.77

b)

5.33

c)

1.07

d)

1.26

115.

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

a)

-11.43

b)

7.85

c)

-2.33

d)

4.16

116.

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall?

a)

-5

b)

-2

c)

2

d)

5

117.

A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?

a)

82

b)

88

c)

100

d)

118

118.

The term "snowstorms of note" applies to all snowfalls over 6 inches. The snowfall amounts for

snowstorms of note in Utica, New York, over a four-year period are as follows: 7.1, 9.2, 8.0, 6.1,

14.4, 8.5, 6.1, 6.8, 7.7, 21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6

What are the mean and population standard deviation for these data, to the nearest hundredth?

a)

mean = 9.46; standard deviation = 3.74

b)

mean = 9.46; standard deviation = 3.85

c)

mean = 9.45; standard deviation = 3.74

d)

mean = 9.45; standard deviation = 3.85

119.

What is the the total area under the standard normal distribution curve?

a)

100

b)

25

c)

.5

d)

1

120.

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

a)

28,000 km and 32,000 km.

b)

24,000 km and 34,000 km.

c)

26,000 km and 34,000 km.

d)

27,000 km and 31,000 km.

121.

This data is normally distributed. What percent of the data is in the shaded region?

a)

50%

b)

68%

c)

95%

d)

99.7%

122.

35 is...?

a)

standard deviation

b)

mean

c)

variance

123.

What is the Range (68%) of the annual precipitation for Phoenix,

if the average is 29 with a standard deviation of 3?

a)

26-32

b)

23-35

c)

29-33

d)

25-32

124.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?

a)

68%

b)

50%

c)

34%

d)

25%

125.

Which one of these variables is a continuous random variable?

a)

The time it takes a randomly selected student to complete an exam.

b)

The number of tattoos a randomly selected person has.

c)

The number of women taller than 68 inches in a random sample of 5 women.

d)

The number of correct guesses on a multiple choice test.

126.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

a)

0.962

b)

0.132

c)

0.831

d)

0.250

127.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood?

a)

0.316

b)

0.282

c)

0.001

d)

Not here

128.

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?

a)

0.161

b)

0.965

c)

0.015

d)

0.997

129.

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

a)

50%

b)

17.62%

c)

.58.81%

d)

41.19%

130.

In Vietnam, the probability of rain is 70%. Find the probability of it raining at most 2 days in a week.

a)

.9712

b)

0.0250

c)

.0287

d)

.2988

131.

Is the distribution below a probability distribution? Why or why not?

a)

Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1

b)

No, not all P(x) values are between 0 and 1.

c)

No, ∑P(x) ≠ 1.

132.

Between what two standard deviations of a normal distribution lies 95% of the data?

a)

one below and one above

b)

two below and two above

c)

two below and zero

d)

zero and two above

133.

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval?

a)

1084 to 1216 pounds

b)

1106 to 1150 pounds

c)

1106 to 1194 pounds

d)

1128 to 1172 pounds

134.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

32%

c)

16%

d)

50%

135.

This data is normally distributed. What percent of the data is in the shaded regions?

a)

5%

b)

95%

c)

2.5%

d)

50%

136.

A grading scale is set up for 1000 students’ test scores. It is assumed that the scores are normally distributed with a mean score of 75 and a standard deviation of 15. Calculate the score that lies 2 standard deviation below the mean.

a)

60

b)

475

c)

45

d)

9500

137.

Classify: How many miles it takes to use up a tank of gas.

a)

Discrete

b)

Continuous

138.

Which one of the following is a discrete random variable?

a)

Sam's height

b)

Sam weight

c)

Time Sam's runs the 110 m hurdles

d)

Amount of Sam's brothers and sisters

139.

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

a)

31.8

b)

15.68

c)

0.20

d)

1.00

140.

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the standard deviation. Round to the nearest hundredth.

a)

35.76

b)

268.1

c)

16.3

d)

1279.35

141.

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

a)

4.2

b)

3.5

c)

12.0

d)

6.2

142.

Find the mean of a binomial distribution with n=50 and p=0.4

a)

50

b)

4

c)

20

d)

10

143.

The table represents the probability of guessing correct on a 5 question true-false quiz. Find the mean and the standard deviation.

a)

μ = .4; σ = 7.5

b)

μ = 2.5; σ = 1.1

c)

μ = 3; σ = 1.3

d)

μ = .1; σ = 0

144.

The table above shows the number of cell phones per household in a small town. Find the mean round to the nearest hundredth.

a)

2.80

b)

2.93

c)

0.10

d)

0.14

145.

The table above shows the number of cell phones per household in a small town. Find the standard deviation. Round to the nearest hundredth.

a)

0.80

b)

1.70

c)

1.30

d)

1.00

146.

a)

Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.

b)

No, all probabilities are not be between 0 and 1 inclusive

c)

No, the sum of all the probabilities is not 1.

d)

Yes, because the distribution is symmetric

147.

Find the probability the snowfall will be between 3 and 6 inches.

a)

.2

b)

.4

c)

.6

d)

1

148.

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. Approximately what percent of days in February will be between 14.6 and 31.4 degrees?

a)

68%

b)

50%

c)

99.7%

d)

95%

149.

The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes, inclusive.

What is the probability that a person waits fewer than 12.5 minutes?

(write your answer to 4 decimal places)

(a)

150.

The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes, inclusive.

On average, how long must a person wait? (Find the mean)

(leave out the units in your answer)

(a)

151.

The waiting time for the train that leaves every 30 minutes is uniformly distributed from 0 to 30 minutes. Find the probability that a person arriving at a random time will wait between 10 and 15 minutes.

a)

4/8

b)

2/3

c)

1/6

d)

1/3

152.

A shuttle train at a busy airport completes a circuit between two terminals every five minutes. What is the probability than a passenger will wait more than three minutes for a shuttle train?

a)

2/5

b)

1/3

c)

6/7

d)

1/2

153.

The waiting time for the train that leaves every 30 minutes is uniformly distributed from 0 to 30 minutes. Find the probability that a person arriving at a random time will wait between 10 and 15 minutes.

a)

4/8

b)

2/3

c)

1/6

d)

1/3

154.

The time it takes you to drive to school.

a)

Continuous

b)

Discrete

155.

The number of books in your locker.

a)

Continuous

b)

Discrete

156.

The number of babies born at Greenville Memorial Hospital this month.

a)

Continuous

b)

Discrete

157.

Identify whether the experiment involves a discrete or a continuous random variable.

Number of phone calls answered by a call center agent during his/her shift

a)

Discrete Random Variable

b)

Continuous Random Variable

158.

Identify whether the experiment involves a discrete or a continuous random variable.

Measuring the length of time it takes before a dolphin surfaces in the ocean to breath

a)

Discrete Random Variable

b)

Continuous Random Variable

159.

a)

Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.

b)

No, all probabilities are not be between 0 and 1 inclusive

c)

No, the sum of all the probabilities is not 1.

d)

Yes, because the distribution is symmetric

160.

a)

Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.

b)

No, all probabilities are not be between 0 and 1 inclusive

c)

No, the sum of all the probabilities is not 1.

d)

Yes, because the distribution is symmetric

161.

Which one of these variables is a binomial random variable?

a)

Time it takes a randomly selected student to complete a multiple choice exam

b)

Number of textbooks a randomly selected student bought this term

c)

Number of women taller than 68 inches in a random sample of 5 women

d)

Number of CDs a randomly selected person owns

162.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

a)

Yes

b)

No, the trials are not independent.

c)

No, there are more than 2 outcomes

163.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.

a)

Yes

b)

No, the trials are not independent.

c)

No, there are more than 2 outcomes

164.

Which one of these variables is a binomial random variable?

a)

Time it takes a randomly selected student to complete a multiple choice exam

b)

Number of textbooks a randomly selected student bought this term

c)

Number of women taller than 68 inches in a random sample of 5 women

d)

Number of CDs a randomly selected person owns

165.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)

a)

0.962

b)

0.132

c)

0.831

d)

0.250

166.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood?

a)

0.316

b)

0.282

c)

0.001

d)

Not here

167.

A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you GUESS on each and every answer without even reading the questions.
What is the probability of getting exactly 6 questions correct on this test?

a)

0.6%

b)

0.00001%

c)

0.0064%

d)

0.0002%

168.

What is the area under the curve to the left of z = 0.55 ?

a)

.2912

b)

.5500

c)

.9394

d)

.7088

169.

The table represents the probability of guessing correct on a 5 question true-false quiz. Find the probability for at least 4 questions correct.

a)

.03125

b)

.15625

c)

.3125

d)

.1875

170.

The table represents the probability of guessing correct on a 5 question true-false quiz. Find the mean and the standard deviation.

a)

μ = .4; σ = 7.5

b)

μ = 2.5; σ = 1.1

c)

μ = 3; σ = 1.3

d)

μ = .1; σ = 0

171.

The table above shows the number of cell phones per household in a small town. Find the mean round to the nearest hundredth.

a)

2.80

b)

2.93

c)

0.10

d)

0.14

172.

The table above shows the number of cell phones per household in a small town. Find the standard deviation. Round to the nearest hundredth.

a)

0.80

b)

1.70

c)

1.30

d)

1.00

173.

Test has a mean of 40, standard deviation of 10. What is the percent of people with a score below 37?

a)

52.97%

b)

31.53%

c)

48.99%

d)

38.21%

174.

Find the mean of a binomial distribution with n=50 and p=0.4

a)

50

b)

4

c)

20

d)

10

175.

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

a)

4.2

b)

3.5

c)

12.0

d)

6.2

176.

32 percent of beach goers end up with some form of sunburn on any given day. Find the mean of a survey of 75 beach goers.

a)

25

b)

24

c)

2600

d)

I don't go to the beach

177.

32 percent of beach goers end up with some form of sunburn on any given day. Find the standard deviation of a survey of 75 beach goers.

a)

16.32

b)

4.04

c)

1.74

d)

24

178.

Barry Bonds has a career batting average of .298. What is the probability that he will get on base 6 times in 10 at bats?

a)

3.58%

b)

5.46%

c)

22.67%

d)

100%

179.

The probability of obtaining a head when a certain coin is flipped is about 0.65. Which of the following is closest to the probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times?

a)

0.14

b)

0.37

c)

0.39

d)

0.60

e)

0.65

180.

You are a terrible driver. Whenever you drive, there is a 70% chance that you will run over a pedestrian. If you go for a drive 15 times, what is the probability that you will run over no more than 6 pedestrians?

a)

0.985

b)

0.988

c)

0.015

d)

0.012

181.

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have less than 5 accidents?

a)

0.6915

b)

0.1762

c)

0.8238

d)

-0.93

182.

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have more than 7 accidents?

a)

0.3446

b)

0.2856

c)

0.4

d)

0.6554

183.

The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.

Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?

a)

115

b)

130.75

c)

145

d)

120

184.

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?

a)

0.67 inch

b)

263 inches

c)

272.44 inches

d)

277.25 inches

185.

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

a)

68%

b)

34%

c)

16%

d)

2.5%

186.

If I tell you that you scored at the 55th percentile on your final exam, you would know:

a)

55% of the class scored the same or worse than you did

b)

You earned a 55% on the exam

c)

You failed the exam

d)

45% of the class scored worse than you did

187.

Suppose the amount of soda in a can is normally distributed; the mean is 16 oz and standard deviation is 0.4 oz. How much soda is in the heaviest 3% of cans?

a)

$\approx16.97\ oz$

b)

$\approx16.75\ oz$

c)

$\approx16.45\ oz$

d)

$\approx16.30\ oz$

188.

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. About what percent of the products last between 12 and 15 days?

a)

68%

b)

99.7%

c)

95%

d)

34%

189.

The Floppy Disk Company makes 3.5 inch floppy disks (mean) for disk drives that are 3.7 inches wide. The size of a manufactures disk is normally distributed with a standard deviation of 0.1 inches. The company manufactures 1000 disks every hour. In one hour, how many disks would you expect to be between 3.4 inches and 3.7 inches?

a)

34

b)

135

c)

68

d)

815

190.

Entomologist Heinz Kaefer has a colony of bongo spiders in his lab. There are 1000 adult spiders in the colony, and their weights are Normally distributed with mean 11 grams and standard deviation 2 grams. About how many spiders are there in the colony which weigh more than 12 grams?

a)

117

b)

160

c)

310

d)

690

e)

840

191.

The time to complete a standardized exam is approximately Normal with a mean of 70 minutes and a standard deviation of 10 minutes. How much time should be given to complete the exam so that 80% of the students will complete the exam in the time given?

a)

61.6 minutes

b)

78.4 minutes

c)

79.8 minutes

d)

84 minutes

e)

92.8 minutes

192.

Find the z-score

x = 36 μ= 42 σ = 5

a)

0.74

b)

1.2

c)

-1.2

d)

1.03

193.

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

a)

68%

b)

99.7%

c)

95%

d)

84%

194.

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.5% of the students?

a)

4.1

b)

4.1 or higher

c)

4.7

d)

4.5 or higher

195.

Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. How common is a score between 600 and 700? Calculate the probability.

a)

2.5%

b)

2.35%

c)

16%

d)

13.5%

196.

What is Taylor's Lucky Number?

a)

13

b)

87

c)

42

d)

69

197.

What was her first studio album?

a)

Speak Now

b)

Taylor Swift

c)

Red

d)

Midnights

198.

How Long is Her Longest Song

(a)

199.

What Are 2 of Her Cat's Names?

a)

Wyatt Anderson/Benjamin Button

b)

Folkore/Evermore

c)

Joey/Chloe

d)

Meredith Grey/Benjamin Button

200.

What is Her Boyfriend's Name?

a)

Someone That No One Likes

b)

Travis Swift

c)

Travis Kelce

d)

Marjorie

201.

How Many "Eras" are represented in Taylor Swift's Eras Tour?

a)

12

b)

10

c)

13

d)

9

202.

What is the name of Andy’s neighbor in Toy Story?

a)

Ed

b)

Ron

c)

Sid

d)

Bart

203.

What does Hakuna Matata mean?

a)

Eat A lot

b)

No body left behind

c)

Family

d)

No Worries

204.

Princess Jasmine’s tiger is named what?

a)

Julian

b)

Rajah

c)

Rafiki

d)

Riley

205.

Which one of these ISN'T one of the seven dwarfs?

a)

Grumpy

b)

Dopey

c)

Doc

d)

Tired

e)

Bashful

206.

What are the names of Cinderella’s stepsisters?

a)

Aurora

b)

Anastasia

c)

Emilia

d)

Drizella

207.

What was the name of Walt Disney’s first cartoon character?

a)

Minnie Mouse

b)

Mickey Mouse

c)

Steamboat Willie

d)

Oswald the Lucky Rabbit

208.

What was Mickey Mouses first words ever spoken?

a)

Oh Boy!

b)

Hello!

c)

Hot Dog!

d)

Great!

209.

Who was Experiment 626?

a)

Jumba

b)

Stich

c)

Mike Wysowski

d)

Lumiere

210.

What is the name of the prince in "Sleeping Beauty"?

a)

Prince Charming

b)

Prince Eric

c)

Prince Philip

d)

Prince Adam

211.

Who is the villain in "The Little Mermaid"?

a)

Ursula

b)

Maleficent

c)

Jafar

d)

Scar

212.

What was Pixar’s first movie?

a)

The Incredibles

b)

A Bug's Life

c)

Toy Story

d)

Finding Nemo

213.

In which Pixar movie is the main character a rat who loves to cook?

a)

Toy Story

b)

Ratatouille

c)

Up

d)

Cars

214.

In "Finding Nemo," what type of fish is Nemo?

a)

Clownfish

b)

Blue Tang

c)

Angelfish

d)

Goldfish

215.

Which character is famous for the line, "Just keep swimming!"

a)

Nemo

b)

Darla

c)

Bruce

d)

Dory

216.

True or False. The Eiffel Tower grows during the heat of the summer.

a)

True

b)

False

217.

True or False. More thunderstorms occur during the summer than any other time of the year.

a)

True

b)

False

218.

What is the hottest month in the Northern Hemisphere?

a)

June

b)

July

c)

August

d)

September

219.

On the first day of summer (the summer solstice), we ___.

a)

receive the most hours of sunlight

b)

receive the least hours of sunlight

c)

receive equal hours of sunlight

d)

do not receive any sunlight

220.

Seen on the sunscreen bottles, what does the term SPF stand for?

a)

Skin Protection Factor

b)

Sun Protection Fair

c)

Sun Protection Factor

d)

Skin Preservation Factor

221.

According to the US Agriculture statistics, what three fresh fruits outsell all others during the course of the summer?

a)

grapes, blueberries, peaches

b)

peaches, watermelon, tomatoes

c)

blackberries, blueberries, coconuts

d)

tomatoes, watermelon, lemons

222.

Which month is National Ice Cream Month?

a)

July

b)

June

c)

May

d)

August

223.

Solve the following exponential equation:
$9^{8-x}=27^{x-3}$

a)

$x=5$

b)

$x=-5$

c)

$x=\frac{1}{5}$

d)

$x=-\frac{1}{5}$

224.

Solve 8 = 2^5x+7

a)

⅘

b)

¼

c)

-⅘

d)

-¼

225.

Solve: 2^x = 4^x+1

a)

-2

b)

2

c)

-3

d)

3

Last Day of Math 4 Exam Review

Total questions: 225

Worksheet time: 11hrs 15mins

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