Answer:
109 metres
Step-by-step explanation:
1. Do 15+36+29 which equals 80
2. Do 189-80 and u get 109
Hope this helps :3
Let x=3.77777777...
10x=37.777777777...
9x=10x-x=34
9x=34 so x=34/9=3 7/9
Answer:
f(8)=34
Step-by-step explanation:
To solve, you just substitute x for 8
4(8) + 2
32 + 2
F(8) = 34
Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which:
is the sample proportion.
In this problem, we have a 90% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.645.
The sample size and the estimate are given by:
![n = 600, \pi = \frac{400}{600} = 0.6667](https://tex.z-dn.net/?f=n%20%3D%20600%2C%20%5Cpi%20%3D%20%5Cfrac%7B400%7D%7B600%7D%20%3D%200.6667)
Hence, the bounds of the interval are given by:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.6667%20-%201.645%5Csqrt%7B%5Cfrac%7B0.6667%280.3333%29%7D%7B600%7D%7D%20%3D%200.6350)
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.6667%20%2B%201.645%5Csqrt%7B%5Cfrac%7B0.6667%280.3333%29%7D%7B600%7D%7D%20%3D%200.6984)
The 90% confidence interval is given by: (0.6350, 0.6984).
More can be learned about the z-distribution at brainly.com/question/25890103
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