Step-by-step explanation:
we are dealing with an iscoceles triangle = 180°
Â= Č and AB = BC as given
angle B is 34° as given meaning angle A and C is going to be 73° ( 180° – 34° )= 73° your reason will be sides opposite equal angles are equal.
Hope this helped.
The dimensions are 8 ft x 8 ft.
The total area is 64 sq ft.
The dimensions of a single tile are 2 1/2 x 1 1/2
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
700/32 = 21.875
He'd have to sell approximately 22 shares to have enough to pay for his vacation.
Answer:
-12/7
Step-by-step explanation: