Answer:
24°
Step-by-step explanation:
x + 9° + 147° = 180° ( being linear pair)
x = 180° - 156°
x = 24°
Hello!
We can make an equation based on what we know
The product of 9 and a number is
9 * x
Added to six
9 * x + 6
Gives the result of 24
9 * x + 6 = 24
Now you solve it algebraically
Subtract 6 from both sides
9 * x = 18
Divide both sides by 9
x = 2
The answer is 2
Hope this helps!
Answer:
I say it's A
Step-by-step explanation:
We have been given that at north shire high school 87.5% of the teachers have a masters degree. Total number of teachers is 128.
Let us find how many teachers have a masters degree.
![\text{Teachers hold masters degree }=\frac{128\times 87.5}{100}](https://tex.z-dn.net/?f=%5Ctext%7BTeachers%20hold%20masters%20degree%20%7D%3D%5Cfrac%7B128%5Ctimes%2087.5%7D%7B100%7D)
![\text{Teachers hold masters degree }=1.28\times 87.5](https://tex.z-dn.net/?f=%5Ctext%7BTeachers%20hold%20masters%20degree%20%7D%3D1.28%5Ctimes%2087.5)
![\text{Teachers hold masters degree }=112](https://tex.z-dn.net/?f=%5Ctext%7BTeachers%20hold%20masters%20degree%20%7D%3D112)
Therefore, 112 teachers have a masters degree.
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)