angles in a triangle = 180 degrees
70 +35 = 105 degrees
180-105 = 75 degrees
3rd angle = 75 degrees
Answer: 4.78
Step-by-step explanation:
add up all the cookies and then divide by his favorite.
Answer: 0.0775
Step-by-step explanation:
Given : Mean : ![\mu = 25](https://tex.z-dn.net/?f=%5Cmu%20%3D%2025)
Standard deviation : ![\sigma =15](https://tex.z-dn.net/?f=%5Csigma%20%3D15)
Sample size : ![n=36](https://tex.z-dn.net/?f=n%3D36)
Since its normal distribution , then the formula to calculate the z-score is given by :-
![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= 28.2 hours
![z=\dfrac{28.2-25}{\dfrac{15}{\sqrt{36}}}=1.28](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B28.2-25%7D%7B%5Cdfrac%7B15%7D%7B%5Csqrt%7B36%7D%7D%7D%3D1.28)
For x= 30 hours
![z=\dfrac{30-25}{\dfrac{15}{\sqrt{36}}}=2](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B30-25%7D%7B%5Cdfrac%7B15%7D%7B%5Csqrt%7B36%7D%7D%7D%3D2)
The P- value = ![P(1.28](https://tex.z-dn.net/?f=P%281.28%3Cz%3C2%29)
![=P(z](https://tex.z-dn.net/?f=%3DP%28z%3C2%29-P%28z%3C1.28%29%3D%200.9772498-0.8997274%3D0.0775224%5Capprox0.0775)
Hence, the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours = 0.0775