sat-dog

The number $a$ is $70\%$ less than the positive number $b$. The number $c$ is $80\%$ greater than $a$. The number $c$ is how many times $b$?

From a population of $\mathrm{50,000}$ people, $\mathrm{1,000}$ were chosen at random and surveyed about a proposed piece of legislation. Based on the survey, it is estimated that $35\%$ of people in the population support the legislation, with an associated margin of error of $3\%$. Based on these results, which of the following is a plausible value for the total number of people in the population who support the proposed legislation?

$6$, $6$, $8$, $8$, $8$, $10$, $21$

Which of the following lists represents a data set that has the same median as the data set shown?

The densities of different concentrations of grape juice are shown in the scatterplot above. According to the trend shown by the data, which of the following is closest to the predicted density, in kilograms per cubic meter (kg/m³), for grape juice with a concentration of 60%?

The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of 500 city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council’s survey?

What was the mean low temperature, in degrees Fahrenheit, during the five-day period?

$210$ is $p\%$ greater than $30$. What is the value of $p$?

Which of the following statements correctly compares the means of data set A and data set B?

Each of the following frequency tables represents a data set. Which data set has the greatest mean?

According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?

To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)

A trivia tournament organizer wanted to study the relationship between the number of points a team scores in a trivia round and the number of hours that a team practices each week. For the study, the organizer selected $55$ teams at random from all trivia teams in a certain tournament. The table displays the information for the $40$ teams in the sample that practiced for at least $3$ hours per week.

Which of the following is the largest population to which the results of the study can be generalized?

Each value in the data set shown represents the height, in centimeters, of a plant. 

$6$, $10$, $13$, $2$, $15$, $22$, $10$, $4$, $4$, $4$

What is the mean height, in centimeters, of these plants?

Which of the following speeds is equivalent to 90 kilometers per hour? (1 kilometer = 1,000 meters)

A certain forest is 253 acres. To estimate the number of trees in the forest, a ranger randomly selects 5 different 1-acre parcels in the forest and determines the number of trees in each parcel. The numbers of trees in the sample acres are 51, 59, 45, 52, and 73. Based on the mean of the sample, which of the following ranges contains the best estimate for the number of trees in the entire forest?

The number of acres of useful timberland in 13 counties in California is summarized in the box plot above. Which of the following is closest to the median number of acres?

On May 10, 2015, there were 83 million Internet subscribers in Nigeria. The major Internet providers were MTN, Globacom, Airtel, Etisalat, and Visafone. By September 30, 2015, the number of Internet subscribers in Nigeria had increased to 97 million. If an Internet subscriber in Nigeria on September 30, 2015, is selected at random, the probability that the person selected was an MTN subscriber is 0.43. There were p million MTN subscribers in Nigeria on September 30, 2015. To the nearest integer, what is the value of p ?

The mean amount of time that the 20 employees of a construction company have worked for the company is 6.7 years. After one of the employees leaves the company, the mean amount of time that the remaining employees have worked for the company is reduced to 6.25 years. How many years did the employee who left the company work for the company?

A distance of $61$ furlongs is equivalent to how many feet? $\left(1 \text{furlong}=220 \text{yards} \text{and} 1 \text{yard}=3 \text{feet}\right)$

The scatterplot shows the relationship between the length of time $y$, in hours, a certain bird spent in flight and the number of days after January $11$, $x$.

What is the average rate of change, in hours per day, of the length of time the bird spent in flight on January $13$ to the length of time the bird spent in flight on January $15$?

A psychologist designed and conducted a study to determine whether playing a certain educational game increases middle school students’ accuracy in adding fractions. For the study, the psychologist chose a random sample of 35 students from all of the students at one of the middle schools in a large city. The psychologist found that students who played the game showed significant improvement in accuracy when adding fractions. What is the largest group to which the results of the study can be generalized?

A store received a shipment of 1,000 MP3 players, 4 of which were defective. If an MP3 player is randomly selected from this shipment, what is the probability that it is defective?

The value of $z$ is $1.13$ times $100$. The value of $z$ is what percent greater than $100$?

A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?

1. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.
2. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
3. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.