Answer:
a) 0.7898
b) 0.0516
c) 0.1587
Step-by-step explanation:
Given : Mean : ![\mu=8.1\text{ minutes}](https://tex.z-dn.net/?f=%5Cmu%3D8.1%5Ctext%7B%20minutes%7D)
Standard deviation : ![\sigma =1.9\text{ minutes}](https://tex.z-dn.net/?f=%5Csigma%20%3D1.9%5Ctext%7B%20minutes%7D)
Since , the police response time has a normal distribution.
The formula to calculate the z-score :-
![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x=5 minutes.
![z=\dfrac{5-8.1}{1.9}=-1.63](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B5-8.1%7D%7B1.9%7D%3D-1.63)
For x=10 minutes.
![z=\dfrac{10-8.1}{1.9}=1](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B10-8.1%7D%7B1.9%7D%3D1)
a) The p-value =![P(-1.63](https://tex.z-dn.net/?f=P%28-1.63%3Cz%3C1%29%3DP%28z%3C1%29-P%28z%3C-1.63%29)
![=0.8413447-0.0515507=0.789794\approx0.7898](https://tex.z-dn.net/?f=%3D0.8413447-0.0515507%3D0.789794%5Capprox0.7898)
b) The p-value =![P(z](https://tex.z-dn.net/?f=P%28z%3C-1.63%29%3D0.0515507%5Capprox0.0516)
c) The p-value =![P(z>1)=1-P(z](https://tex.z-dn.net/?f=P%28z%3E1%29%3D1-P%28z%3C1%29)
![=1-0.8413447=0.1586553\approx0.1587](https://tex.z-dn.net/?f=%3D1-0.8413447%3D0.1586553%5Capprox0.1587)
Focus on the bottom side of the triangle. The first one has a length of 6mm while the second one had a length of 18mm. What is the scale between these 2? 6 times 3 equals 18 so the scale factor is 3 from triangle A (first one) to triangle B (secone one). Now look at the sdie length of both triangles. These would have the same scale factor so muktipky 8 by 3 to get X, which would be 24. To find Y, you need to think what number do you multiply by 3 to get 30. That is the same thing as 30/3 which is 10. Your final answer is X=24 and Y=10.
Answer:
the answer is B - 96 trust me
2 8/9 equals 26/9 and the reciprocal of 26/9 is 9/26
Answer:
81 units³
Step-by-step explanation:
V = Length x Widht x Height
= 9 x 3 x 3
= 81 units³