Given l||m and m∠1 = 60°, select all angles that are also equal to 60°.
2 answers:
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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>
Answer:
The age of Age of Joe is 14 years .
Step-by-step explanation:
Given as :
The statement is
Three times age of the Middle brother is 12 less than twice the sum of the ages of Joe and the youngest brother .
As The age of brothers are consecutive even integers
Let The Age of oldest brother Joe = 2 x + 4
Let The Age of middle brother = 2 x + 2
Let The Age of younger brother = 2 x
<u>Now, According to statement</u>
3 × (2 x + 2) = 2 × [ (2 x + 4) + (2 x) ] - 12
Or, 3 × 2 x + 3 × 2 = 2 × (2 x + 4) + 2 × (2 x) - 12
Or, 6 x + 6 = 2 × 2 x + 2 × 4 + 4 x - 12
Or, 6 x + 6 = 4 x + 8 + 4 x - 12
Or, 6 x + 6 = 8 x - 4
Or, 8 x - 6 x = 6 + 4
Or, 2 x = 10
∴ x =
i.e x = 5
So, The age of Age of oldest brother Joe = 2 x + 4 = 2 × 5 + 4 = 14 years
The Age of middle brother = 2 x + 2 = 2 × 5 + 2 = 12 years
The Age of younger brother = 2 x = 2 × 5 = 10 years
Hence, The age of Age of Joe is 14 years . Answer