Answer:
99.7% confidence interval is ![[0.4162,0.7437]](https://tex.z-dn.net/?f=%5B0.4162%2C0.7437%5D)
Step-by-step explanation:
The formula for a confidence interval for a population proportion is
where
is the sample proportion,
is the sample size, and
is the critical score for the desired confidence level.
We are given a sample size of
and a sample proportion of
. Our critical score for a 99.7% confidence level would be ![z^*=normalcdf(0.9985,0,1)=2.9677](https://tex.z-dn.net/?f=z%5E%2A%3Dnormalcdf%280.9985%2C0%2C1%29%3D2.9677)
Therefore, the approximate 99.7% confidence interval for the population parameter is ![CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }=0.58\pm 2.9677\sqrt{\frac{0.58(1-0.58)}{80} }=[0.4162,0.7438]](https://tex.z-dn.net/?f=CI%3D%5Chat%7Bp%7D%5Cpm%20z%5E%2A%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%20%7D%3D0.58%5Cpm%202.9677%5Csqrt%7B%5Cfrac%7B0.58%281-0.58%29%7D%7B80%7D%20%7D%3D%5B0.4162%2C0.7438%5D)
So we are 99.7% confident that the true population proportion is contained within the interval ![[0.4162,0.7437]](https://tex.z-dn.net/?f=%5B0.4162%2C0.7437%5D)
<h3><em>(HCF)=(36,60,84)</em></h3><h3><em>Factors of 36
</em></h3><h3><em>
</em></h3><h3><em>List of positive integer factors of 36 that divides 36 without a remainder.
</em></h3><h3><em>
</em></h3><h3><em>1,2,3,4,6,9,12,18,36</em></h3><h3>Factors of 60
</h3><h3>
</h3><h3>List of positive integer factors of 60 that divides 60 without a remainder.
</h3><h3>
</h3><h3>1,2,3,4,5,6,10,12,15,20,30,60</h3><h3>Factors of 84
</h3><h3>
</h3><h3>List of positive integer factors of 84 that divides 84 without a remainder.
</h3><h3>
</h3><h3>1,2,3,4,6,7,12,14,21,28,42,84</h3><h3 /><h3>We found the factors 36,60,84 . The biggest common factor number is the HCF number.
</h3><h3>So the highest common factor 36,60,84 is 12.</h3><h3><em>HOPE IT HELPS....</em></h3>
You'd add both functions together:
(|x|+9)+(-6)
So:
|x|+3
Answer:
192 cm
Step-by-step explanation:
3.5+4.5=8
8*24=192