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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3

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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

Select one:

a. an = 8(  )n − 1; average rate of change is −3

b. an = 10(  )n − 1; average rate of change is 3

c. an = 8(  )n − 1; average rate of change is 3

d. an = 10(  )n − 1; average rate of change is −3

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(09.01 LC)

Jeremy is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is even} and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∩ B. (5 points)

Select one:

a. {6, 12}

b. {3, 6, 9, 12}

c. {2, 4, 6, 8, 10, 12}

d. {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

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(09.02 MC)

Arthur is testing the effectiveness of a new acne medication. There are 100 people with acne in the study. Forty patients received the acne medication, and 60 other patients did not receive treatment. Fifteen of the patients who received the medication reported clearer skin at the end of the study. Twenty of the patients who did not receive medication reported clearer skin at the end of the study. What is the probability that a patient chosen at random from this study took the medication, given that they reported clearer skin? (5 points)

Select one:

a. 15%

b. 33%

c. 38%

d. 43%

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(09.03 MC)

A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below:

 MaleFemaleType A5575Type B4822

Compare P(Female or Type B) with P(Female | Type B). (5 points)

Select one:

a. There is not enough information.

b. P(Female or Type B) > P(Female | Type B)

c. P(Female or Type B) = P(Female | Type B)

d. P(Female or Type B) < P(Female | Type B)

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(09.05 MC)

The life expectancy of a typical lightbulb is normally distributed with a mean of 1,975 hours and a standard deviation of 25 hours. What is the probability that a lightbulb will last between 1,950 and 2,050 hours? (5 points)

Select one:

a. 0.84

b. 0.77

c. 0.82

d. 0.89

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(09.06 MC)

A dentist office gives a survey to all wisdom teeth extraction patients asking them to rate the quality of their dental experience. One month after wisdom teeth extraction, the dentist contacts the patients again to ask if there were any complications from the extraction. Last year, the results of the surveys showed that of the patients who had a poor dental experience, 94% had post-extraction complications. What conclusion can be drawn from this study? (5 points)

Select one:

a. Some patients who have a poor dental experience also have post-extraction complications.

b. Most patients who have a poor dental experience also have post-extraction complications.

c. Poor dental experiences cause post-extraction complications.

d. Post-extraction complications cause poor dental experiences.

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(09.07 MC)

A random sample of 150 students is chosen from a population of 5,000 students. If the mean IQ in the sample is 110 with a standard deviation of 10, what is the 95% confidence interval for the students' mean IQ score? (5 points)

Select one:

a. 100-120

b. 107.9-112.1

c. 108.4-111.6

d. 108.66-111.34

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(09.08 MC)

A company offered one half of its employees a bonus if the production of cat food increased by 10%. The other half of the employees was not offered a bonus. As the end of the month, production in the group that did not get the bonus offer increased by a mean of 20 and production in the bonus group increased by a mean of 30.

What is the correct order of steps to determine if the results are significant?

A. Run the experiment many times.B. Randomly separate the employees' individual results into two groups.C. Calculate the mean of each group.D. Calculate the probability of a difference of 10.E. Calculate the difference of the means.

(5 points)

Select one:

a. A, B, C, D, E

b. B, C, E, A, D

c. B, C, E, D, A

d. A, B, C, E, D

Question 9

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(10.01 LC)

What is the arc length when θ =  and the radius is 7 cm? (5 points)

Select one:

a.  cm

b.  cm

c.  cm

d.  cm

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(10.02 LC)

What is the sine value of π? (5 points)

Select one:

a. 

b. 

c. 0

d. 1

Question 11

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(10.04 LC)

Use the function below:

What are the amplitude and midline? (5 points)

Select one:

a. Amplitude: 2; midline: y = 3

b. Amplitude: 1; midline: y = 3

c. Amplitude: 2; midline: y = 1

d. Amplitude: 3; midline: y = 2

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(10.04 MC)

The function f(t) = 20 sin (t) + 12 models the temperature of a periodic chemical reaction where t represents time in hours. What are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take? (5 points)

Select one:

a. Maximum: 20°; minimum: 8°; period: 12 hours

b. Maximum: 32°; minimum: −8°; period: 10 hours

c. Maximum: 20°; minimum: 12°; period:  hours

d. Maximum: 32°; minimum: 8°; period:  hours

Question 13

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(10.04 MC)

The function f(t) = 7 cos(t) + 12 represents the tide in Light Sea. It has a maximum of 19 feet when time (t) is 0 and a minimum of 5 feet. The sea repeats this cycle every 8 hours. After two hours, how high is the tide? (5 points)

Select one:

a. 12 feet

b. 16 feet

c. 8.5 feet

d. 16.5 feet

Question 14

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(10.05 MC)

Simplify: (sin θ − cos θ)2 − (sin θ + cos θ)2 (5 points)

Select one:

a. −4sin(θ)cos(θ)

b. 2

c. sin2 θ

d. cos2 θ

Question 15

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(10.06 MC)

Compare the following functions:

f(x) = −4 sin(3x − π) + 2g(x)

h(x)

xy−214−1906152639414

Which function has the smallest minimum?(5 points)

Select one:

a. f(x)

b. g(x)

c. h(x)

d. All three functions have the same minimum