Answer:
![CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}](https://tex.z-dn.net/?f=CI%20%3D%20%280.17%20-%200.27%29%5C%C2%B1%201.65%5Csqrt%7B%5Cfrac%7B%280.17%29%2A%280.83%29%20%2B%20%280.27%29%2A%280.73%29%7D%7B200%7D%7D)
Step-by-step explanation:
Given
![n = 200](https://tex.z-dn.net/?f=n%20%3D%20200)
-- City C
--- City K
Required
Determine the 90% confidence interval
This is calculated using:
![CI = \bar x \± z\frac{\sigma}{\sqrt n}](https://tex.z-dn.net/?f=CI%20%3D%20%5Cbar%20x%20%5C%C2%B1%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%20n%7D)
Calculating ![\bar x](https://tex.z-dn.net/?f=%5Cbar%20x)
![\bar x = \bar x_1 - \bar x_2](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cbar%20x_1%20-%20%5Cbar%20x_2)
![\bar x = \frac{x_1}{n} - \frac{x_2}{n}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7Bx_1%7D%7Bn%7D%20-%20%5Cfrac%7Bx_2%7D%7Bn%7D)
![\bar x = \frac{34}{200} - \frac{54}{200}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B34%7D%7B200%7D%20-%20%5Cfrac%7B54%7D%7B200%7D)
![\bar x = 0.17 - 0.27](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%200.17%20-%200.27)
For a 90% confidence level, the z-score is 1.65. So:
![z = 1.65](https://tex.z-dn.net/?f=z%20%3D%201.65)
Calculating the standard deviation ![\sigma](https://tex.z-dn.net/?f=%5Csigma)
![\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B%28%5Cbar%20x_1%29%2A%281%20-%20%5Cbar%20x_1%29%20%2B%20%28%5Cbar%20x_2%29%2A%281%20-%20%5Cbar%20x_2%29%20%7D)
So:
![\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B%280.17%29%2A%281%20-%200.17%29%20%2B%20%280.27%29%2A%281%20-%200.27%29%20%7D)
![\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B%280.17%29%2A%280.83%29%20%2B%20%280.27%29%2A%280.73%29%7D)
So:
![CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}](https://tex.z-dn.net/?f=CI%20%3D%20%280.17%20-%200.27%29%5C%C2%B1%201.65%5Cfrac%7B%5Csqrt%7B%280.17%29%2A%280.83%29%20%2B%20%280.27%29%2A%280.73%29%7D%7D%7B%5Csqrt%20%7B200%7D%7D)
![CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}](https://tex.z-dn.net/?f=CI%20%3D%20%280.17%20-%200.27%29%5C%C2%B1%201.65%5Csqrt%7B%5Cfrac%7B%280.17%29%2A%280.83%29%20%2B%20%280.27%29%2A%280.73%29%7D%7B200%7D%7D)
Answer:
I think it is 4 white and 3 blue
Step-by-step explanation:
Because they have 3 cups of white then 6 cups of white so i think they multiplied it. Then they have 4 cups of blue then 8 cups of blue. So if you multiply it, it will give you the answer. I hope this is right and it helped and can you mark me brainliest!!!!!!!!
Answer:
I'm not sure, but I'll try
Step-by-step explanation:
(Side)^2 = (Hypotenuse)^2 - (Side)^2
(Side)^2 = (9)^2 - ( √ 65 )^2
(Side)^2 = (81) - (65)
(Side)^2 = 16
Take root of answer
Side = √16
Side = 4
Answer = 4
Answer: 3/8ths
Step-by-step explanation: 1/8+1/8+1/8=3/8
Answer:
30%
Step-by-step explanation:
130-91=39
39 / 130 =0.3
0.3x100=30
and you got the answer!