Answers EAP-Algebra Functions and Data Analysis BCumulative Exam

Cumulative Exam Answers

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The data in the table represent the height of an object over time.

quadratic, because the height of the object increases or decreases with a multiplicative rate of change

quadratic, because the height increases and then decreases

exponential, because the height of the object increases or decreases with a multiplicative rate of change

exponential, because the height increases and then decreases

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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.

The annual inflation rate is 3.5% per year. If a movie costs $7.50, determine which of the following graphs best models the change in price, with respect to time, of the movie ticket. a. c. b. d. Please select the best answer from the choices provided

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

2.45

3.16

5.48

7.07

For the graphs below, for which probability distribution is the value of the median greater than the value of the mean?

Negatively skewed

Normal, symmetrical distribution

Positively skewed distribution

None of the above

Review the table showing the percentage of contaminants remaining in a water sample after passing through each round of filters.Round% of Contaminants Left in Water Sample01001152230.3

6.3% of the contaminants remain in the water sample after each round of filters.

14.9% of the contaminants remain in the water sample after each round of filters.

6.3% of the remaining contaminants are removed from the water sample after each round of filters.

14.9% of the remaining contaminants are removed from the water sample after each round of filters.

Fiona recorded the mean math exam grade for six random samples of students from the entire seventh-grade class. Sample Sample Mean Grade165292378445595670Why is a valid prediction for the mean of the population not possible using these samples?

Fiona had too many samples.

Fiona didn’t have enough samples.

The variation of Fiona’s samples is too large.

The variation of Fiona’s samples is too small.

Which is the correct graph of ? a. c. b. d. Please select the best answer from the choices provided

The amount of simple interest accrued on a sum of money varies jointly with the amount of money, the interest rate, and the time the money is invested. A sum of money is invested at a simple interest rate of 4% for 3 years and accrues $168 in interest. The same sum of money is invested in a second account at a simple interest rate of 6% for 4 years. Which statement is true?

The amount of interest accrued on the second account is less than double the amount of interest accrued on the first account.

The amount of interest accrued on the second account is double the amount of interest accrued on the first account.

The amount of interest accrued on the second account is more than double but less than triple the interest accrued on the first account.

The amount of interest accrued on the second account is more than triple the interest accrued on the first account.

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?

21 miles

24 miles

36 miles

41 miles

What is the solution of ?

–8

–6

A simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the Internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. What is the 99% confidence interval (z-score = 2.58) for the number of minutes that an adult spends surfing the Internet per day?Remember, the margin of error, ME, can be determined using the formula .

49.1 minutes to 59.3 minutes

50.3 minutes to 58.1 minutes

54.2 minutes to 58.1 minutes

54.2 minutes to 59.3 minutes

A four-person committee is chosen from a group of eight boys and six girls.If students are chosen at random, what is the probability that the committee consists of all boys?

StartFraction 4 Over 1001 EndFraction

StartFraction 15 Over 1001 EndFraction

Option

Julio is selecting a random sample of people to survey for a newspaper article. Which elements are important for Julio to consider when choosing a random sample? Select three options.

the size of the population

the size of the sample

the characteristics and demographics of the population

the probable responses to the survey questions from the population

the probable responses to the survey questions from the sample

In 1985, there were 285 cell phone subscribers in the small town of Glenwood. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Glenwood in 1990?Years1986 (x = 1)1987 (x = 2)1988 (x = 3)Number of cell phone users4988721527a.1800c.2672b.4677d.8186

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

The graph of g(x) is a translation of f(x) 2 units left.

The graph of g(x) is a translation of f(x) 2 units right.

The graph of g(x) is a translation of f(x) 2 units up.

The graph of g(x) is a translation of f(x) 2 units down.

For which situations is it appropriate to use a sample? Select three options.

What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?

What is the average number of rainbows each year in Honolulu?

How many pedestrians would use a walkway built over a busy road?

How many police cars are equipped with computers?

What is the most popular car color in the teachers’ parking lot?

Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as

a census.

a sample survey.

an experiment.

an observational study.

Review the table showing wind speed, y, in miles per hour, measured x hours after midnight.Hours after MidnightWind Speed (mph)14.324.24576.898108.1137.2176205.1

y = 1.87sin(0.29x + 6.13) + 4.79

y = 1.87sin(0.29x + 4.79) + 6.13

y = 1.87sin(–0.29x + 6.13) + 4.79

y = 1.87sin(–0.29x + 4.79) + 6.13

Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?Mascot SurveySample 1Sample 2Ducks12Ducks8Grizzlies24Grizzlies30Lions20Lions22Silverbacks16Silverbacks12

StartFraction 21 over 72 EndFraction = StartFraction x over 480 EndFraction

StartFraction 72 over 21 EndFraction = StartFraction x over 480 EndFraction

StartFraction 42 over 72 EndFraction = StartFraction x over 480 EndFraction

StartFraction 20 over 22 EndFraction = StartFraction x over 480 EndFraction

Rhonda manages wildlife samples for Ducks Unlimited. Two samples of duck populations at a migratory site are shown in the table below. Which statement about the samples is true?Duck Pond SamplesSample 1Sample 2Mallard19Mallard38Wood Duck3Wood Duck1Green Wing Teal10Green Wing Teal1American Widgeon8American Widgeon0

Rhonda needs to continue taking samples of ducks until both samples have at least one of each type of duck.

Rhonda should take a third sample and then use the two that are most representative since these samples vary quite a bit.

Rhonda should use both of these samples as they are to make inferences about the average population of each type of duck in the pond.

Both samples must be biased because there are more Mallards than any other type of duck recorded in the sample.

The mass, Q, of a sample of Tritium (a radioactive isotope of Hydrogen), decays at a rate of 5.626% per year. Given a quantity of 726 grams, determine the graph that best models the decay of this radioactive substance. a. c. b. d. Please select the best answer from the choices provided

A professor wants to determine information about the Internet usage of middle school students in one state. A sample of 500 boys and girls from middle schools across the state were asked, “How do you access the Internet when you are not at school?” Which best explains why the sample can be used to determine statistics that apply to the population?

The sample represents the population.

The sample is larger than the population.

Each person in the population knows at least one person included in the sample.

Each person in the sample has Internet access while they are not at school.

What is the value of ?

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

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.13, 17, 9, 21What is the standard deviation for the data?Standard deviation:

4.4

5.2

26.7

You have just graduated from college and purchased a car for $6000. Your credit limit is $24,000. Assume that you make no payments and purchase nothing more and that there are no other fees. The monthly interest rate is 14%. Use the table feature on your graphing calculator to determine how much you will owe after 3 months..a.$9075.54c.$35,557.06b.$36,302.15d.$8889.26

A set of data is normally distributed with a mean of 86 and a standard deviation of 1.5. What percent of the data is in the interval 86–87.5?a.68.3%c.34.15%b.47.75%d.49.85%

A set of data is normally distributed with a mean of 52 and a standard deviation of 5. What percentage of the data is in the interval 47-57? a.33.3%c.87.0%b.68.3%d.91.2%

Li designed a survey to determine how comfortable students at her middle school are with fractions. There are 600 students in her middle school. The students are equally distributed among grade levels. She selected a sample of 28 students in her first-period class. Which best explains Li’s sample?

random and biased

random and unbiased

nonrandom and biased

nonrandom and unbiased

Out of a population of 1,500 students, 100 were asked by a random sampling to choose their favorite national park. Their responses are shown in the table below.National ParksFavorite ParkNumber of StudentsAcadia19Carlsbad Caverns14Rocky Mountain30Grand Canyon23Yosemite14Using proportional reasoning, about how many students out of the 1,500 would you expect to pick Yosemite for their favorite national park?

210

244

Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?

14%

17%

55%

67%

A survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. Between which two amounts would you expect 95% of the survey’s respondents to spend annually per pet if the sample is approximately normal and comes from a normally distributed population?

$675 and $1,500

$675 and $1,775

$950 and $1,500

$950 and $1,775

An object falls from a window. The distance the object has traveled, d, varies jointly with the acceleration due to gravity and the square of the time elapsed. The object has fallen 5.929 meters in 1.1 seconds, and the acceleration due to gravity is 9.8 meters per second squared. Assuming the object continues to fall and the acceleration due to gravity remains the same, what is the total distance the object travels in 2 seconds?

10.8 m

19.6 m

21.6 m

39.2 m

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?

A = {MOPN, PMON}

A = {OPMN, OMPN}

A = {MOPN, MPON, OPMN, POMN}

A = {MOPN, MPON, PMON, POMN}

Julia surveyed twenty households on her street to determine the average number of children living in each household. The tables below represent the collected data and a randomly selected sample from the population. Compare the mean of the population with the mean of the sample. Population Data03313222543330120233Sample Data53024What is the difference between the mean of the sample and the mean of the population?

0.55

1.25

2.25

2.80

Fiona asked her team to suggest ways of surveying the population of their middle school to find out how many students use bottled water. Which student has the method that is most representative of the school’s population?

Raina suggested that she ask everyone in her math class on Friday.

Miya suggested that she ask students sitting in the first row of her classes on Friday.

Ryo suggested that he ask the basketball players at his practice on Friday.

Amir suggested that he ask every tenth student as he or she walks into school in the morning.

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.What is the approximate probability that the code only contains odd numbers?

0.0005

0.00099

0.012

0.02381

Which of the following is the inverse of ?

y = log Subscript one-twelfth Baseline x

y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction

y = log Subscript x Baseline 12

y = log Subscript 12 Baseline x

The scores of a high school entrance exam are approximately normally distributed with a given mean = 82.4 and standard deviation = 3.3. What percentage of the scores are between 75.8 and 89?

68%

95%

99.7%

100%

The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon-222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

1.5 days

2.5 days

9.4 days

21.1 days

The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 410 kg. How many kilograms can a 1-m beam support?a.820 kgb.0.0024 kgc.0.0098 kgd.102.5 kg

Question text not available

direct variation; k = 4

direct variation; k =

inverse variation; k = 4

inverse variation; k =

It takes 2 painters 12 hours to paint the interior of a house. Assuming the amount of time it takes to paint the house is inversely related to the number of painters, how many hours will it take 6 painters to paint the house?

1 hour

3 hours

4 hours

8 hours

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

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.

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. What is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters? Use the portion of the standard normal table given to help answer the question.zProbability0.000.50000.500.69151.000.84132.000.97723.000.9987

0.13%

0.26%

2.3%

4.6%

Which of the following probabilities is the greatest for a standard normal distribution?

P (negative 1.5 less-than-or-equal-to z less-than-or-equal-to negative 0.5)