What is a rational number with a denominator of 7 that is between 7–√ and 8–√. Write your answer as an improper fraction.(1 point)
To find the rational number between 7–√ and 8–√, we need to add the two numbers and divide by 2.
(7–√ + 8–√)/2 = (15–2√)/2 = 15/2 – √2
Therefore, the rational number with a denominator of 7 that is between 7–√ and 8–√ is 15/2 – √2.
Use the table to answer the question.
Low Temperatures in Milwaukee, Wisconsin (°F)
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
28 36 39 30 22 18 35
What is the range of temperatures over the seven days?
(1 point)
°F
To find the range of temperatures, we need to subtract the lowest temperature from the highest temperature.
Highest temperature: 39°F
Lowest temperature: 18°F
Range = Highest temperature - Lowest temperature
Range = 39°F - 18°F
Range = 21°F
Therefore, the range of temperatures over the seven days is 21°F.
Gathering Data Quick Check
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Question
Monica is interested in the typical number of hours kids in the United States spend outside in a year. Which of the following statistical questions is formulated to generate numerical data that will answer Monica’s question?(1 point)
Responses
How many hours did my cousin in Nevada spend outside last year?
How many hours did my cousin in Nevada spend outside last year?
What do kids in the United States tend to do while they are having free time outside?
What do kids in the United States tend to do while they are having free time outside?
On average, how many hours did kids in the United States spend outside last year?
On average, how many hours did kids in the United States spend outside last year?
How many kids in the United States spend time outside in the winter?
The correct answer is: "On average, how many hours did kids in the United States spend outside last year?"
Bridget wants to design an experiment. Which set of steps is in the correct order?(1 point)
Responses
Determine how you will conduct the experiment (with coins, tiles, a spinner, etc.); determine the number of times you want to run the experiment; collect the data; create a pie chart; run the experiment; and then collect the data.
Determine how you will conduct the experiment (with coins, tiles, a spinner, etc.); determine the number of times you want to run the experiment; collect the data; create a pie chart; run the experiment; and then collect the data.
Create a table; determine how you will conduct the experiment (with coins, tiles, a spinner, etc.); determine the number of times you want to run the experiment; create a pie chart; and then run the experiment.
Create a table; determine how you will conduct the experiment (with coins, tiles, a spinner, etc.); determine the number of times you want to run the experiment; create a pie chart; and then run the experiment.
Determine how you will conduct the experiment (with coins, tiles, a spinner, etc.); determine the number of times you want to run the experiment; create a table; run the experiment; and then collect the data.
Determine how you will conduct the experiment (with coins, tiles, a spinner, etc.); determine the number of times you want to run the experiment; create a table; run the experiment; and then collect the data.
Collect the data; determine how you will conduct the experiment (with coins, tiles, a spinner, etc.); determine the number of times you want to run the experiment; create a pie chart; and then run the experiment.
The correct answer is: "Determine how you will conduct the experiment (with coins, tiles, a spinner, etc.); determine the number of times you want to run the experiment; create a table; run the experiment; and then collect the data."
Gathering Data Quick Check
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Question
Valentina decided to create a simple experiment using marbles. What is the next step?(1 point)
Responses
She should create a pie chart or a histogram.
She should create a pie chart or a histogram.
She should collect the data.
She should collect the data.
She should create a table.
She should create a table.
She should decide how many times to run the experiment.
The next step for Valentina in her simple experiment using marbles is to collect the data.
Use the table to answer the question.
Math Test Scores (%)
Test #1 Test #2 Test #3 Test #4 Test #5 Test #6 Test #7
70 82 95 81 78 82 93
The table shows the percentages of Mario’s math test scores so far this year. Use the gathered data to determine Mario’s average test score.
(1 point)
Responses
83
83
82
82
81
81
581
581
To determine Mario's average test score, we need to add up all the test scores and divide by the number of tests.
Test #1: 70
Test #2: 82
Test #3: 95
Test #4: 81
Test #5: 78
Test #6: 82
Test #7: 93
Total score = 70 + 82 + 95 + 81 + 78 + 82 + 93 = 581
Number of tests = 7
Average test score = Total score / Number of tests
Average test score = 581 / 7
The average test score is approximately 83.
Therefore, the correct answer is 83.
Gathering Data Quick Check
5 of 55 of 5 Items
Question
Use the table to answer the question.
Math Test Scores (%)
Test #1 Test #2 Test #3 Test #4 Test #5 Test #6 Test #7
70 82 95 81 78 82 93
The table shows the percentages of Mario’s math test scores so far this year. If Mario wants his average to increase to an 85 after he takes the next test, what does he need to score?
(1 point)
Responses
73
73
680
680
85
85
99
99
To find the score Mario needs to achieve an average of 85, we need to consider the current total score and number of tests, as well as the desired average.
Test #1: 70
Test #2: 82
Test #3: 95
Test #4: 81
Test #5: 78
Test #6: 82
Test #7: 93
Total score = 70 + 82 + 95 + 81 + 78 + 82 + 93 = 581
Number of tests = 7
Desired average = 85
We can solve the equation:
(581 + x) / 8 = 85
Multiplying both sides by 8:
581 + x = 680
Subtracting 581 from both sides:
x = 99
Therefore, Mario needs to score 99 on the next test in order to achieve an average of 85.
The correct answer is 99.
Represent Categorical and Numerical Data Quick Check
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Question
Display the following dataset in a histogram. Use five bins, beginning with 60 and going by intervals of 2.
70, 61, 60, 64, 70, 65, 65, 66, 60, 61, 68, 68, 67, 65, 64, 62
How many numbers in the dataset will be in the bin that goes from 62 to 64?
(1 point)
Responses
1
1
16
16
3
3
0
To determine how many numbers in the dataset will be in the bin that goes from 62 to 64, we need to count the numbers within that range.
The numbers in the dataset that fall within the range of 62 to 64 are: 64, 64, 62.
Therefore, there are 3 numbers in the dataset that will be in the bin from 62 to 64.
The correct answer is 3.
Use the image to answer the question.
An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There is 1 dot over 2; 2 dots over 7; 4 dots over 8; 4 dots over 9; 3 dots over 10; 4 dots over 11; 3 dots over 12; and 2 dots over 13. There are no dots over the numbers 1, 3, 4, 5, and 6.
What number is the outlier in this dot plot?
(1 point)
Based on the description provided, the outlier in this dot plot is the number 2.
Use the image to answer the question.
An illustration shows a number line with arrows on both ends ranging from 25 to 30 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 3 dots over 25; 5 dots over 26; 4 dots over 27; 1 dot over 28; 0 dots over 29; and 5 dots over 30.
What number represents the gap in the dot plot?
(1 point)
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