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>
You might be interested in
The solution to the given system is (3,8).
<u>Step-by-step explanation:</u>
To draw a graph system for a linear equation,
Step 1: Consider two x values and draw a line joining the new points.
y = x + 5 ⇒1
y = 2x + 2 ⇒2
For both equations substitute two random values for x.
Let us Consider x=0 and x=10.
For equation 1,
y=x+5. y=x+5
y=0+5. y=10+5
y=5 y=15
The new points for equation 1 are (0,5) and (10,15).
Draw a big straight line passing through these two points.
For equation 2,
y=2x+2. y=2x+2
y=0+2. y=20+2
y=2 y=22.
The new points for equation 1 are (0,2) and (10,22).
Again, draw a big straight line passing through these two points.
Step 2: Mark the intercepting point and that will be the solution for the given system.
For this system, the solution is (3,8).
To check this answer equate both equations,
x+5=2x+2.
2x-x=5-2.
x=3.
Substitute x value in any of the equation,
y=3+5.
y=8.
So the resulted point is (3,8).
