Weighted Averages — Cumulative exam Answers

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21
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The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean.

A
2
B
4
C
8
D
16
22
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A utility company hires pollsters to knock on random doors in different parts of town to survey residents about the cost of their electric bill. Would this study be biased? Why or why not?

A
No, it is not biased. All residents of the town will have the opportunity to respond.
B
Yes, it is biased. Some of the residents who are surveyed may not want to respond to someone who knocks at their door.
C
No, it is not biased. All residents who are surveyed will want to respond.
D
Yes, it is biased. Only certain parts of the town were surveyed.
23

The graph shows a distribution of data.

Question illustration
A
The data has a standard deviation of 0.1.
B
The mean of the data is greater than 0.5.
C
A value of 0.7 is within 1 standard deviation of the mean.
D
A value of 0.9 is more than 2 standard deviations from the mean.
24

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

A
If a figure is a polygon, then the sum of the exterior angles is 360°.
B
If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.
C
If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.
D
If a figure is not a polygon, then the sum of the exterior angles is not 360°.
25

Josephine was asked to make a one-fiftieth scale model of the new water tower for her town. She constructed the model that is shown below. Not drawn to scaleWhat is the height of the town’s new water tower in feet? Round to the nearest whole number.

Question illustration
A
22 feet
B
40 feet
C
63 feet
D
113 feet

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