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KIM [24]
3 years ago
14

The histogram shows the sizes (in acres) of 44 vineyards.

Mathematics
1 answer:
Vaselesa [24]3 years ago
6 0

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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Answer:

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Step-by-step explanation:

Given sequence is:

-9, -2, 5, 12,...

Here the first number is f(1)

Common Difference:

Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.

In the given sequence,

f(1) = -9

f(2) = -2

f(3) = 5

d=f(2)-f(1) = -2-(-9) = -2+9 = 7\\d = f(3)-f(2) = 5-(-2) = 5+2 = 7

Hence,

The right answer is:

Option OB: f(1) = -9

Common difference: 7

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