Cumulative Exam — Cumulative exam Answers

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Which of the following is a valid probability distribution?

A 2-column table labeled Probability Distribution A has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.42, 0.38, 0.13, 0.07.

A 2-column table labeled Probability Distribution B has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.27, 0.28, 0.26, 0.27.

A 2-column table labeled Probability Distribution C has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.16, 0.39, 0.18, 0.17.

A 2-column table labeled Probability Distribution D has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.63, 0.12, 0.14, 0.13.

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What is the solution of ?

x = –2500

x = –50

x = –2.5

no solution

Which survey is most likely affected by bias?

a survey of teenagers about their favorite colors

a survey of students about vacation policies in a school district

a survey of supermarket shoppers about products they would like to see added

a survey of bike riders on whether they wear helmets

The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?

z = StartFraction 92 minus 83 Over 83 EndFraction

z = StartFraction 83 minus 92 Over 5 EndFraction

z = StartFraction 92 minus 83 Over 5 EndFraction

z = StartFraction 5 minus 83 Over 92 EndFraction

What is the value of y in the sequence below?

–6

–3

Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function?

reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up

reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis

vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis

Which graph represents ?

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 1.

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 5.

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 7.

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 5.

Given that , what is the value of ?

Plus-or-minus StartRoot eight-thirds EndFraction

Plus-or-minus StartRoot eleven-eighths EndFraction

Eleven-eighths

Eight-thirds

What is the common difference in the following arithmetic sequence?

mc003-2.jpg

mc003-3.jpg

mc003-4.jpg

mc003-5.jpg

How long is the arc intersected by a central angle of radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3.14 for .

2.6 ft

7.0 ft

10.5 ft

31.4 ft

People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.Pink lemonade: 156 males, 72 femalesYellow lemonade: 104 males, 48 females

P(pink lemonade | female) = P(pink lemonade) = 0.6.

P(female | pink lemonade ) = P(pink lemonade) = 0.3.

P(pink lemonade | female) = 0.3 and P(pink lemonade) = 0.6.

P(female | pink lemonade ) = 0.3 and P(pink lemonade) = 0.6.

What is the following product?

–2

22 –

98 –

What is the solution of ?

x = 5

x = 13

x = 20

x = 328

Which equation is represented by the graph below?

y = one-eighth e Superscript x

y = one-half e Superscript x

y = 2 e Superscript x

y = 8 e Superscript x

What is radians converted to degrees? If necessary, round your answer to the nearest degree.

45°

135°

240°

540°

Which of the following accurately lists all of the discontinuities for the function graphed below?

jump discontinuity at x = 0; point discontinuity at x = 8

jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8

jump discontinuities at x = 0 and x = 8; point discontinuity at x = –2

jump discontinuity at x = 0; point discontinuities at x = –2, x = 3 and x = 8

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.Why are the events not mutually exclusive?

The sum of P(A) and P(B) is less than P(A or B).

The product of P(A) and P(B) is less than P(A or B).

The product of P(A) and P(B) is not equal to P(A or B).

The sum of P(A) and P(B) is not equal to P(A or B).

A supervisor finds the mean number of miles that the employees in a department live from work. He finds and . Which mileage is within a z-score of -1.5?