22.2
Step-by-step explanation:
5x = 112
opposite angles of a parallelogram are equal
therefore x= 112/5
x= 22.2
Answer:
x = -3/5
Step-by-step explanation:
Answer:
$100.90
Step-by-step explanation:
1.60 + 12.50 = 14.10
215 - 14.10 = $100.90
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