The histogram shows the sizes (in acres) of 44 vineyards.
1 answer:
Answer:
- See below and attachment
- Correct answer options are in bold and underlined
Step-by-step explanation:
The histogram shows the sizes (in acres) of 44 vineyards.
<u>a. Approximately what percentage of these vineyards are at or over 210 acres? </u>
10+13 = 23 of the vineyards are at or over 210 acres. Total is 44, so
- 23/44*100% = 52% rounded to the nearest percent
<u>b. Describe the distribution (shape, center, spread, unusual features). </u>
- A. The distribution is uniform.
- <u>B. The distribution is bimodal. </u>
- C. The distribution is unimodal.
<u>Is the distribution symmetric or skewed? </u>
- <u>A. The distribution is skewed to the left. </u>
- B. The distribution is symmetric.
- C. The distribution is skewed to the right.
<u>Which of the following best describes the center? </u>
- A. The center is best described by the mean since the distribution is symmetric and there are no outliers.
- B. The center is best described by the median since the distribution is skewed to the right and has an outlier.
- <u>C. The center is best described by the median since the distribution is skewed to the left and has an outlier. </u>
<u>What is the spread?</u>
- The acreage ranges from 30 to 270 acres.
- 30, 90, 120, 210, 240, 270
<u>Describe any unusual features. </u>
- A. There are no unusual features.
- B. Most of the vineyards have close to the same number of acres.
- <u>C. There is one vineyard that has considerably fewer acres, 0 to 30 acres, than the rest.</u>
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Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
<h3>What is the average rate of change of a function?</h3>The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:
In this problem, the function is given by:
f(t) = -16t² + 100.
The outputs are given as follows:
- f(0) = -16(0)² + 100 = 100.
- f(0) = -16(2)² + 100 = 36.
Hence the average rate of change is given by:
r = (36 - 100)/(2 - 0) = -32 ft/s.
And the correct option is:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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