Answer:
The 95% confidence interval of true proportion of workers who belong to a union.
(0.29657 , 0.40343)
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given sample size 'n' = 600
Given sample proportion p = 35% or 0.35
The 95% confidence interval of true proportion of workers who belong to a union.
![(p^{-} -Z_{0.05} \sqrt{\frac{pq}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{pq}{n} } )](https://tex.z-dn.net/?f=%28p%5E%7B-%7D%20%20-Z_%7B0.05%7D%20%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%20%7D%20%2C%20p%5E%7B-%7D%20%2B%20Z_%7B0.05%7D%20%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%20%7D%20%29)
![(0.35 -1.96\sqrt{\frac{0.35 X0.65}{600} } , 0.35 + 1.96\sqrt{\frac{0.35 X 0.65}{600} } )](https://tex.z-dn.net/?f=%280.35%20%20-1.96%5Csqrt%7B%5Cfrac%7B0.35%20X0.65%7D%7B600%7D%20%7D%20%2C%200.35%20%2B%201.96%5Csqrt%7B%5Cfrac%7B0.35%20X%200.65%7D%7B600%7D%20%7D%20%29)
( 0.35 - 1.96 (0.02726) , 0.35 + 1.96 (0.02726)
(0.35 - 0.05343 , 0.35 + 0.05343)
(0.29657 , 0.40343)
<u><em>Final answer:-</em></u>
The 95% confidence interval of true proportion of workers who belong to a union.
(0.29657 , 0.40343)
Answer:
£54
Step-by-step explanation:
4/3=72
1
1*72/4/3=
72*3/4=54
Answer:
So the expression in simplified radical form will be ![\frac{5\sqrt{3}+6}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Csqrt%7B3%7D%2B6%7D%7B13%7D)
Step-by-step explanation:
We have have given the expression ![\frac{\sqrt{3}}{5-2\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B5-2%5Csqrt%7B3%7D%7D)
We have to write this expression in simplest radical form
For writing in simplest radical form we have to rationalize first
So after rationalizing
![\frac{\sqrt{3}}{5-2\sqrt{3}}\times \frac{5+2\sqrt{3}}{5+2\sqrt{3}}=\frac{5\sqrt{3}+6}{25-12}=\frac{5\sqrt{3}+6}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B5-2%5Csqrt%7B3%7D%7D%5Ctimes%20%5Cfrac%7B5%2B2%5Csqrt%7B3%7D%7D%7B5%2B2%5Csqrt%7B3%7D%7D%3D%5Cfrac%7B5%5Csqrt%7B3%7D%2B6%7D%7B25-12%7D%3D%5Cfrac%7B5%5Csqrt%7B3%7D%2B6%7D%7B13%7D)
So the expression in simplified radical form will be ![\frac{5\sqrt{3}+6}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Csqrt%7B3%7D%2B6%7D%7B13%7D)
Length x width equals area of rectangle. 301/2÷61/2=5
the width of the rectangle equals 5 inches.
It’s c.p-2. Hope this helps