sat-dog

277 items match · Math · Problem-Solving and Data Analysis

Hard Math · Problem-Solving and Data Analysis · Inference from sample statistics and margin of error · MCQ

In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the table above. Based on the data from the study, an estimate of the percent of US teens who are heavy texters is 30% and the associated margin of error is 3%. Which of the following is a correct statement based on the given margin of error?

Open
Easy Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · SPR

A printer produces posters at a constant rate of 42 posters per minute. At what rate, in posters per hour, does the printer produce the posters?

Open
Hard Math · Problem-Solving and Data Analysis · Probability and conditional probability · SPR figure
Number of Contestants by Score and Day
 5 out
  of 5
4 out
  of 5
3 out
  of 5
2 out
  of 5
1 out
  of 5
0 out
  of 5
Total
Day 123462320
Day 223554120
Day 333453220
Total7913169660

The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.

No contestant received the same score on two different days. If a contestant is selected at random, what is the probability that the selected contestant received a score of 5 on Day 2 or Day 3, given that the contestant received a score of 5 on one of the three days?

Open
Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ

Each face of a fair 14 -sided die is labeled with a number from 1 through 14 , with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2 ?

Open
Easy Math · Problem-Solving and Data Analysis · Inference from sample statistics and margin of error · MCQ

There are 55 students in Spanish club. A sample of the Spanish club students was selected at random and asked whether they intend to enroll in a new study program. Of those surveyed, 20% responded that they intend to enroll in the study program. Based on this survey, which of the following is the best estimate of the total number of Spanish club students who intend to enroll in the study program?

Open
Hard Math · Problem-Solving and Data Analysis · Percentages · MCQ figure

Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is three fourths cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults. If p percent of an adult’s daily allowance of potassium is provided by x servings of Crunchy Grain cereal per day, which of the following expresses p in terms of x ?

Open
Medium Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure
The table above shows information about 14 cars listed for sale on an auto dealership’s website. If one of the cars listed for sale is selected at random, what is the probability that the car selected will be a hybrid car priced at no more than $25,000 ?
Open
Medium Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

The International Space Station orbits Earth at an average speed of 4.76 miles per second. What is the space station’s average speed in miles per hour?

Open
Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown. Which of the following is closest to the difference between the y-coordinate of the data point with x equals 1 and the y-value predicted by the line of best fit at x equals 1 ?

The figure presents a scatterplot in the x y plane. The numbers 0 through 6, in increments of 1, are indicated on the x-axis. The numbers 6 through 12, in increments of 1, are indicated on the y-axis. There are 10 data points in the scatterplot. The data points begin at the point with coordinates 0 comma 12, and trend downward and to the right. The coordinates of the data points are as follows. Note that all values are approximate.
Point 1. 0, comma 12.
Point 2. 0 point 8, comma 11.
Point 3. 1, comma 12.
Point 4. 1 point 5, comma 10 point 3.
Point 5. 2, comma 10.
Point 6. 2 point 2, comma 9 point 2.
Point 7. 3, comma 9.
Point 8. 3 point 5, comma 8.
Point 9. 3 point 8, comma 8 point 3.
Point 10. 4, comma 7.

A line of best fit is also drawn. The line slants downward and to the right, passing through the point with approximate coordinates 1 comma 11, and the point with approximate coordinates 4 comma 7 point 5.

Open
Easy Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

For a person m miles from a flash of lightning, the length of the time interval from the moment the person sees the lightning to the moment the person hears the thunder is k seconds. The ratio of m to k can be estimated to be 1 to 5. According to this estimate, the person is how many miles from a flash of lightning if the time interval is 25 seconds?

Open
Medium Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

The population density of Iceland, in people per square kilometer of land area, increased from 2.5 in 1990 to 3.3 in 2014. During this time period, the land area of Iceland was 100,250 square kilometers. By how many people did Iceland’s population increase from 1990 to 2014?

Open
Hard Math · Problem-Solving and Data Analysis · Inference from sample statistics and margin of error · SPR figure

A researcher interviewed 411 randomly selected US residents and asked about their views on the use of nuclear energy. The table above summarizes the responses of the interviewees. If the population of the United States was 300 million when the survey was given, based on the sample data for the 411 US residents, what is the best estimate, in millions, of the difference between the number of US residents who somewhat favor or strongly favor the use of nuclear energy and the number of those who somewhat oppose or strongly oppose it? (Round your answer to the nearest whole number.)

Open
Easy Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · MCQ figure

What is the median of the seven data values shown?

Open
Hard Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · MCQ figure

  • From left to right the values of the vertical bars in the Group 1 box plot are as follows:
    • First vertical bar: 21
    • Second vertical bar: 22
    • Third vertical bar: 25
    • Fourth vertical bar: 26
    • Fifth vertical bar: 28
  • From left to right the values of the vertical bars in the Group 2 box plot are as follows:
    • First vertical bar: 22
    • Second vertical bar: 23
    • Third vertical bar: 24
    • Fourth vertical bar: 25
    • Fifth vertical bar: 28

The box plots summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the following statements must be true?

Open
Hard Math · Problem-Solving and Data Analysis · Percentages · SPR figure

A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, 15% are parents of students, 45% are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?

Open
Easy Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · SPR

A customer spent $27 to purchase oranges at $3 per pound. How many pounds of oranges did the customer purchase?

Open
Hard Math · Problem-Solving and Data Analysis · Evaluating statistical claims: Observational studies and experiments · MCQ

A sample of 40 fourth-grade students was selected at random from a certain school. The 40 students completed a survey about the morning announcements, and 32 thought the announcements were helpful. Which of the following is the largest population to which the results of the survey can be applied?

Open
Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

Of the following, which is the best model for the data in the scatterplot?

Open
Medium Math · Problem-Solving and Data Analysis · Evaluating statistical claims: Observational studies and experiments · MCQ

Residents of a town were surveyed to determine whether they are satisfied with the concession stand at the local park. A random sample of 200 residents was selected. All 200 responded, and 87% said they are satisfied. Based on this information, which of the following statements must be true?

I. Of all the town residents, 87% would say they are satisfied with the concession stand at the local park.
II. If another random sample of 200 residents were surveyed, 87% would say they are satisfied.

Open
Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The figure presents a scatterplot titled “Temperature of a Cup of Coffee during an Experiment.” The horizontal axis is labeled “Time since cup was removed from heat source, in minutes,” and the numbers 0 through 140, in increments of 20, are indicated. The vertical axis is labeled “Temperature, in degrees Fahrenheit,” and the numbers 0 through 220, in increments of 20, are indicated. There are 15 data points in the scatterplot. The data points begin with point 0 comma 195, and trend downward and to the right, rapidly at first, then more and more slowly, finally leveling off. The last data point is 140 comma 76. The 15 data points are as follows. The second coordinate of each point is approximate. Point 1, 0 comma 195. Point 2, 10 comma 153. Point 3, 20 comma 136. Point 4, 30 comma 122. Point 5, 40 comma 109. Point 6, 50 comma 100. Point 7, 60 comma 92. Point 8, 70 comma 84. Point 9, 80 comma 82. Point 10, 90 comma 80. Point 11, 100 comma 79. Point 12, 110 comma 77. Point 13, 120 comma 77. Point 14, 130 comma 76. Point 15, 140 comma 76.

In an experiment, a heated cup of coffee is removed from a heat source, and the cup of coffee is then left in a room that is kept at a constant temperature. The graph above shows the temperature, in degrees Fahrenheit (°F), of the coffee immediately after being removed from the heat source and at 10-minute intervals thereafter. During which of the following 10-minute intervals does the temperature of the coffee decrease at the greatest average rate?

Open
Medium Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · MCQ figure

The table above shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages?

Open
Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

The table shows the number of different colors of marbles in a bag. If a marble is chosen at random from the bag, what is the probability that the marble will be blue?

Open
Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure
Customer Purchases at a Gas Station
Beverage purchased Beverage not purchased Total
Gasoline purchased 60 25 85
Gasoline not purchased 35 15 50
Total 90 40 135

On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?

Open
Easy Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · MCQ

4 , 4 , 4 , 4 , 8 , 8 , 8 , 13 , 13

Which frequency table correctly represents the data listed?

Open
Easy Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

A group of monarch butterflies migrated from Chicago, Illinois, to Michoacán, Mexico, flying a total of 2,100 miles. It took a single butterfly in the group 120 days to travel this route one way. On average, how many miles did the butterfly travel per day?

Open