Answer:
(4, 2)
Step-by-step explanation:
the midpoint of points (x1, y1) and (x2, y2) is (
,
)
plug in points (-2, -4) and (10, 8) to get ((10+(-2))/2), (8+(-4))/2) = (4, 2)
X = 180 degrees
That is. The answer
Answer: 0.1788
Step-by-step explanation:
We assume that the monthly rent for a one-bedroom apartment without a doorman in Manhattan is normally distribution.
Given : Mean monthly rent : ![\mu=\$\ 2,654](https://tex.z-dn.net/?f=%5Cmu%3D%5C%24%5C%202%2C654)
Standard deviation : ![\sigma=\$\ 500](https://tex.z-dn.net/?f=%5Csigma%3D%5C%24%5C%20500)
Sample size : ![n=100](https://tex.z-dn.net/?f=n%3D100)
Let x be the monthly rent of randomly selected apartment.
Now. we calculate the value of z-score by the formula :
![z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
For x = $2,700
![z=\dfrac{2700-2654}{\dfrac{500}{\sqrt{100}}}=0.92](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B2700-2654%7D%7B%5Cdfrac%7B500%7D%7B%5Csqrt%7B100%7D%7D%7D%3D0.92)
The p-value = ![P(x>2700)=P(z>0.92)](https://tex.z-dn.net/?f=P%28x%3E2700%29%3DP%28z%3E0.92%29)
![1-P(z](https://tex.z-dn.net/?f=1-P%28z%3C0.92%29%3D1-0.8212136%3D0.1787864%5Capprox0.1788)
Hence, the probability that the average rent of the sample is more than $ 2,700 = 0.1788
The answer 10x+7.5y=420 is 56
Do not go to that link it is a virus