The graph shows the function $$f\left(x\right)=\frac{1}{2}\left(2\right)^x+10$$ . How is the graph of $$f\left(x\right)+\frac{1}{2}$$ different than the graph of $$f\left(x\right)$$ ?

It is shifted by $$\frac{1}{2}$$ unit upward from the graph of f(x)

It increases at a greater rate than the graph of f(x) with increasing x

It is shifted by $$\frac{1}{2}$$ unit downward from the graph of f(x)

It increases at a slower rate than the graph of f(x) with increasing x

The superintendents of two school districts are considering a merger in which the two school districts would become one larger school district. They want to conduct surveys in their districts to determine whether district residents support the merger. For which of the following survey methods could the results be used to accurately determine the level of support among district residents for the merger?

Randomly call approximately 25% of residents and directly ask whether or not they support the merger

Call all residents who have school-age children and ask whether or not they support the merger

Ask residents who attend meetings of the Board of Education whether or not they support the merger

Provide all residents a form asking whether or not they support the merger and have residents mail in their responses

Which of the following is NOT an accurate statement about statistics?

In statistics, we use the value of a parameter for a population to make inferences about the value for a random sample of that population.

In statistics, we use the value of a parameter for a random sample of a population to make inferences about the value for the entire population.

Statistics allows us to study a random sample of a population without the need to examine the entire population.

Statistics takes data about a random sample of a population and extrapolates it to the entire population.

A researcher studies the behavior of small children at a playground. The researcher finds the following probabilities: a 0.70 probability that a child will play on the slide, a 0.42 probability that a child will play on both the slide and the swings, and the probabilities that a child will play on the slide and on the swings are independent. Which of these statements about the probabilities in this situation are true? Choose all that are correct.

There is a 0.28 probability that a child WILL play on the slide but NOT on the swings.

There is a 0.18 probability that a child will NOT play on the slide but WILL play on the swings.

There is a 0.60 probability a child will play on the swings.

There is a 0.30 probability that a child will NOT play on the slide.

There is a 0.58 probability that a child will NOT play on the swings.

Which of these represent two events, A and B, that are independent? Choose ALL that are correct.

P(A) = 0.25, P(B) = 0.20, and P(B|A) = 0.20

P(A) = 0.82, P(B) = 0.14, and P(A|B) = 0.08

A container of crayons has 4 red crayons, 5 blue crayons, and 1 green crayon. Select ALL options that show the correct probabilities.

The probability of choosing 2 reds without replacement is $$\frac{12}{90}$$

The probability of choosing a green crayon followed by a blue crayon with replacement is $$\frac{5}{100}$$

The probability of choosing 2 blues with replacement is $$\frac{4}{100}$$

The probability of choosing 3 greens without replacement is $$\frac{3}{10}$$

Refer to the diagram titled "Pulling vs. Spraying Weeds" which shows a scatter plot of the relationship between hours spent spraying an herbicide in the spring and hours spent pulling weeds throughout the summer. The line of best fit is given by the equation y = -2.75x + 950, where x is the number of hours spent spraying and y is the number of hours spent pulling weeds. Which is a true statement according to the equation?

If 0 hours of spraying is done, the average amount of time spent pulling weeds will be 950 hours

If 950 hours of spraying is done, the average amount of time spent pulling weeds will be 0 hours

For every 950 hours of spraying, the time spent pulling weeds will decrease by an average of 2.75 hours

For every 2.75 hours of spraying, the time spent pulling weeds will decrease by an average of 950 hours

The table shows data collected about donors from a recent blood drive. Based on the data, which events are independent?

a type B student giving blood and a female giving blood

a type O student giving blood and a male giving blood

a type A student giving blood and a female giving blood

a type AB student giving blood and a male giving blood

The graph on the coordinate plane represents f(x), an exponential function. The graph of a second exponential function is described by the equation $$g\left(x\right)=2^x+5$$ Which statement is true?

g(x) is greater than f(x) for all x

g(x) is greater than f(x) for all x > 2.

g(x) is greater than f(x) for all x > 9.

A county planner is looking at trends in population growth for two towns, Hapville and Merton. The population of Hapville in the year 2000 was 18,000. Since then, the population has increased at a steady rate of 500 per year. The population of Merton is increasing according to the equation $$y=12000\left(1.04\right)^t$$ , where y = the population in thousands and t = the number of years since the year 2000. If these trends continue, how will the populations of the two towns compare in 2030?

Merton will have about 6,000 more people than Hapville.

Hapville will have about 6,000 more people than Merton.

Hapville will have about 21,000 more people than Merton.

Merton will have about 21,000 more people than Hapville.

Which statement describes what should be randomized in a sample survey study?

The survey respondents must be randomly selected to ensure unbiased representation of the population.

The factors that determine who is a respondent must be randomly assigned to avoid biasing the researchers.

The questions in the sample survey must be randomly ordered to avoid biasing the opinions of the survey respondents.

The groups of subjects that receive a treatment and those that do not must be randomly determined to avoid selection bias.

Which of these is an example of an experiment?

analyzing differences in understanding of students who received a supplemental learning software and those who did not

observing the differences in teaching approaches used in an American classroom and a Chinese classroom

analyzing differences in student responses regarding software preference

analyzing teachers' beliefs regarding teaching methods

Which scenario represents a sample in which randomization is correctly used?

A food packaging company randomly selects ten cases from each day's production and then performs a quality control inspection of the contents.

Viewers of a political talk show are invited to respond via social media about whether they agree with a presidential candidate's latest fiscal policy speech.

A local catering company randomly stops students exiting a cafeteria to ask their opinion about the types of food offered on the cafeteria menu.

One hundred individuals are selected from the phone book and interviewed via telephone between 2 p.m. and 4 p.m. about their magazine preferences.

Which of the following describes a conditional probability?

a female who is a basketball fan

A shoe company starts with 35 employees and plans to double the number of employees every 4 years. The function $$f\left(x\right)=35\left(2\right)^x$$ models the growth in the number of employees, and x represents the number of 4-year periods. Which of the following BEST describes the behavior of the graph of this function?

The function grows at a more rapid rate as time passes.

The function decreases quickly at first, then continues to decrease more slowly as time passes.

The function decreases at first, then increases as time passes.

The function grows at a constant rate as time passes.

The value of a car can be represented by the equation $$V=16000\left(0.93\right)^t$$ where $$V$$ is the value of the car in dollars and $$t$$ is the age of the car in years. What is the meaning of the number 0.93 in the equation?

As the age of the car increases by 1 year, the value of the car decreases by 7%.

As the age of the car increases by 1 year, the value of the car decreases by 93%.

As the age of the car increases by 1 year, the value of the car decreases by $7.

As the age of the car increases by 1 year, the value of the car decreases by $93.

The amount of money in a bank account is changing according to the equation $$y=500\left(1.04\right)^t$$ , where y is the amount in dollars and $$t$$ is the time in years. Which statement describes this situation?

The initial amount in the account is $500, and the annual interest rate is 4%.

The initial amount in the account is $520, and the annual interest rate is 1.04%.

The initial amount in the account is $500, and the annual interest rate is 1.04%.

The initial amount in the account is $520, and the annual interest rate is 4%.

Jaimie takes a survey of his class to determine if having brown hair is independent of wearing a watch. There are 21 students in the class. He draws the Venn diagram, as shown below, to represent the information he has gathered. Is having brown hair independent of wearing a watch?

Brown hair is independent of wearing a watch. P(W │BH) = P(W)

Brown hair is independent of wearing a watch. P(W │BH) is not equal to P(W)

Brown hair is not independent of wearing a watch. P(W │BH) = P(W)

Brown hair is not independent of wearing a watch. P(W │BH) is not equal to P(W)

Spring Semester Final Review

Authored by Mark Borger

Mathematics

11th Grade

CCSS covered

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41 questions

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MULTIPLE SELECT QUESTION

5 mins • 1 pt

To the nearest hundredth, x ≈ 0.70

To the nearest hundredth, x ≈ 1.61

E. To the nearest hundredth, x ≈ 1.84

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF.BF.B.5

MULTIPLE SELECT QUESTION

5 mins • 1 pt

The annual rainfall totals in a certain city follow a normal distribution, with a mean of 32 inches and a standard deviation of 4 inches. Use the graph of the standard normal distribution to determine which of the statements below are true. Choose all that are correct.

A. The probability that more than 36 inches of rain will fall in a given year is approximately 32%

B. The probability that between 30 and 36 inches of rain will fall in a given year is approximately 53%

C. The probability that less than 24 inches of rain will fall in a given year is approximately 2.3%

D. The probability that less than 34 inches of rain will fall in a given year is approximately 19%

E. The probability that between 32 and 40 inches of rain will fall in a given year is approximately 95%

Tags

CCSS.HSS.ID.A.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

It is determined that for a particular species of tree, the diameter of the trunk is best modeled with a normal distribution that has a mean of 26 inches and a standard deviation of 3 inches. Based on this model, what percentage of trees of this type will have a diameter larger than 25 inches? Round your answer to the nearest tenth of a percent.

13.1%

19.9%

36.9%

63.1%

Tags

CCSS.HSS.ID.A.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The class average on a statistics exam is 80 with a standard deviation of 4 points. Which of these best represents the percentage of students who scored between 68 and 82 on the exam?

34%

50%

62%

69%

Tags

CCSS.HSS.ID.A.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Sandy is conducting a survey to determine the percent of students in her school that have been to the zoo or the museum located in her town. She finds that 40% of her classmates have been to the zoo, 30% have been to the museum, and 20% have been to the museum and the zoo. What is the probability that a randomly selected student in Sandy's school has been to either the museum or the zoo in her town?

30%

50%

70%

90%

Tags

CCSS.HSS.CP.B.7

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