Answer:
(x,y) ---> (3x,3y) 3 units reflected on the x-axis
A 1.5 standard deviation above the mean is
np + 1.5 <span>√(np(1-p))
We are given with
np = 200
p = 200/n
The standard deviation is
</span><span>√200(1-200/n))
Substituting
200 + 1.5 </span>√200(1-200/n))
By inspection, if the value of n is 200, then the radical will result to the value of 1. Only by increasing the value of n greater than 200 will the radical result to a value of less than 1 and decreasing the spread of the mean.
The answer is
the minimum is 201
the maximum is infinity
Solution:
a. original



b. Median remains the same.
c. ![original s^{2}=(20,000)^{2}=400000000=\frac{1}{n-1}[\sum x^{2}- n\bar{x}^{2}]](https://tex.z-dn.net/?f=original%20s%5E%7B2%7D%3D%2820%2C000%29%5E%7B2%7D%3D400000000%3D%5Cfrac%7B1%7D%7Bn-1%7D%5B%5Csum%20x%5E%7B2%7D-%20n%5Cbar%7Bx%7D%5E%7B2%7D%5D)




![mod.s^{2} = \frac{1}{n-1} [\sum x^{2} - n\bar{x}^{2}]](https://tex.z-dn.net/?f=mod.s%5E%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7Bn-1%7D%20%5B%5Csum%20x%5E%7B2%7D%20-%20n%5Cbar%7Bx%7D%5E%7B2%7D%5D)
![=\frac{1}{9} [1.0426E+12 - 10 \times 160000^{2}]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B1.0426E%2B12%20-%2010%20%5Ctimes%20160000%5E%7B2%7D%5D)

Answer:
3 feet wide
Step-by-step explanation:
21/7= 3