First, find the mean. You'll need it to compute the variance.
![\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cdisplaystyle%5Cfrac15%5Csum_%7Bi%3D1%7D%5E5x_i%3D%5Cdfrac%7B21%2B10%2B6%2B7%2B11%7D5%3D11)
The variance of the sample is then computed with the formula
![s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5](https://tex.z-dn.net/?f=s%5E2%3D%5Cdisplaystyle%5Cdfrac1%7B5-1%7D%5Csum_%7Bi%3D1%7D%5E5%28%5Cbar%20x-x_i%29%5E2%3D%5Cdfrac%7B%2821-11%29%5E2%2B%5Ccdots%2B%2811-11%29%5E2%7D4%3D%5Cdfrac%7B71%7D2%3D35.5)
The standard deviation is the square root of the variance, so
Answer:
x ≥ - 1
Step-by-step explanation:
the solid circle above - 1 on the number line indicates that x can equal - 1
the arrow points right indicating x is greater than or equal to - 1 , that is
x ≥ - 1
Answer:
2 x 15 +7
Step-by-step explanation:
Answer: D) Flat area with a large number of plants
The roots of the plants hold in the soil, which prevents/reduces erosion.
The steeper slope means gravity pulls down the soil material faster, since there is less ground in the way to hold it up, so to speak. So flatter areas are less prone to erosion compared to steeper areas.
So that's why overall, flatter areas with lots of plants would have the least erosion.
Answer: 20
Reason: They're opposite meaning they are the same when compared to the side