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

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

The equation above can be used to calculate the distance d, in miles, traveled by a car moving at a speed of 55 miles per hour over a period of t hours. For any positive constant k, the distance the car would have traveled after 9 k hours is how many times the distance the car would have traveled after 3 k hours?

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

One side of a flat board has an area of 874 square inches. If a pressure of 19 pounds per square inch of area is exerted on this side of the board, what is the total force, in pounds, exerted on this side of the board?

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

Data set A consists of the heights of 75 objects and has a mean of 25 meters. Data set B consists of the heights of 50 objects and has a mean of 65 meters. Data set C consists of the heights of the 125 objects from data sets A and B. What is the mean, in meters, of data set C?

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

Data set F consists of 55 integers between 170 and 290 . Data set G consists of all the integers in data set F as well as the integer 10 . Which of the following must be less for data set F than for data set G?

  1. The mean
  2. The median
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Medium Math · Problem-Solving and Data Analysis · Inference from sample statistics and margin of error · MCQ

Based on a random sample from a population, a researcher estimated that the mean value of a certain variable for the population is 20.5 , with an associated margin of error of 1 . Which of the following is the most appropriate conclusion?

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Easy 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 box plot are as follows:
    • First vertical bar: 2
    • Second vertical bar: 4
    • Third vertical bar: 5
    • Fourth vertical bar: 7
    • Fifth vertical bar: 8

 

The box plot summarizes 15 data values. What is the median of this data set?

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

Data set A consists of the heights of 75 buildings and has a mean of 32 meters. Data set B consists of the heights of 50 buildings and has a mean of 62 meters. Data set C consists of the heights of the 125 buildings from data sets A and B. What is the mean, in meters, of data set C?

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

The number a is 110% greater than the number b . The number b is 90% less than 47 . What is the value of a ?

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Easy Math · Problem-Solving and Data Analysis · Percentages · SPR

There are 170 blocks in a container. Of these blocks, 10% are green. How many blocks in the container are green?

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Easy Math · Problem-Solving and Data Analysis · Percentages · MCQ figure
Call Ratings
1 Star 2 Stars 3 Stars 4 Stars Total
Employee A 16 49 72 8 145
Employee B

4

10 22 34 70
Employee C 8 56 45 16 125
Employee D 22 42 84 12 160
Total 50 157 223 70 500

A supervisor at a call center reviewed 500 calls taken by four employees and rated the employees’ performance on each call on a scale from 1 star to 4 stars. The ratings for each employee are shown in the table above. According to the table, to the nearest whole percent, what percent of Employee A’s calls received a rating of 1 star?

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

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

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

The figure presents a scatterplot titled “Number of Beach Visitors versus Temperature.” The horizontal axis is labeled “Average temperature, in degrees Celsius,” and the numbers 25 through 35, in increments of 2, are indicated. The vertical axis is labeled “Number of people,” and the numbers 0 through 640, in increments of 80, are indicated. There are 11 data points in the scatterplot that begin near the bottom left portion of the coordinate plane and trend upward and to the right. The line of best fit for the data is also shown. The line of best fit passes through the points with coordinates 25 comma 80 and 32 comma 480.

Each dot in the scatterplot above represents the temperature and the number of people who visited a beach in Lagos, Nigeria, on one of eleven different days. The line of best fit for the data is also shown. According to the line of best fit, what is the number of people, rounded to the nearest 10, predicted to visit this beach on a day with an average temperature of 32°C?

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

Of the following equations, which best models the data in the scatterplot?

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

Which of the following could be the equation for a line of best fit for the data shown in the scatterplot above?

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Easy Math · Problem-Solving and Data Analysis · Percentages · MCQ figure

There were approximately 113,000 occupational therapy jobs in the United States in 2012. The Bureau of Labor Statistics has projected that this number will increase by 29% from 2012 to 2022. Of the following, which is closest to the number of occupational therapy jobs the bureau has projected for the United States in 2022?

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

  • The data for the 10 categories are as follows:
    • Group 1: 30
    • Group 2: 62
    • Group 3: 36
    • Group 4: 50
    • Group 5: 46
    • Group 6: 40
    • Group 7: 54
    • Group 8: 60
    • Group 9: 16
    • Group 10: 20

The bar graph shows the distribution of 414 books collected by 10 different groups for a book drive. How many books were collected by group 1 ?

Open
Easy Math · Problem-Solving and Data Analysis · Percentages · MCQ

A waiter receives tips from each customer. On average, the tip is 15% of the customer’s bill. At this rate, which of the following is closest to the tip the waiter can expect when a customer has a bill that is $78.20?

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

The scatterplot shows the temperature y , in °F, recorded by a meteorologist at various times x , in days since June 1

  • The scatterplot has 7 data points.
  • The data points are in a linear pattern trending approximately horizontally.
  • The data points have the following coordinates:
    • (1 comma 69)
    • (2 comma 60)
    • (3 comma 73)
    • (4 comma 67)
    • (5 comma 64)
    • (6 comma 62)
    • (7 comma 65)

During which of the following time periods did the greatest increase in recorded temperature take place?

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

Makayla is planning an event in a 5,400-square-foot room. If there should be at least 8 square feet per person, what is the maximum number of people that could attend this event?

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

  • The data for the 5 categories are as follows: 
    • 1: More than halfway above 25 students
    • 2: Less than halfway above 30 students
    • 3: More than halfway above 35 students
    • 4: About halfway above 40 students
    • 5: About halfway above 45 students

A group of students voted on five after-school activities. The bar graph shows the number of students who voted for each of the five activities. How many students chose activity 3 ?

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

A survey was given to residents of all 50 states asking if they had earned a bachelor’s degree or higher. The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor’s degree or higher for all 50 states was 26.95%. What is the difference between the median percent of residents who earned a bachelor’s degree or higher for these 7 states and the median for all 50 states?

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

The number w is 110% greater than the number z . The number z is 55% less than 50 . What is the value of w ?

Open
Medium Math · Problem-Solving and Data Analysis · Percentages · SPR

432 is 96 % of what number?

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

According to the model, which of the following is the best estimate for the stopping distance, in feet, if the vehicle was traveling 55 miles per hour?

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

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending down from left to right.
  • Select data points have the following approximate coordinates:
    • (0.8 comma 8.9)
    • (2.8 comma 5.1)
    • (4.1 comma 2.9)

Which of the following equations is the most appropriate linear model for the data shown in the scatterplot?

Open