Answer: (1.4964, 1.5126)
Step-by-step explanation:
We know that the confidence interval for population mean is given by :-

, where
= population standard deviation.
n= sample size
= Sample mean
As per given , we have
σ = 0.01 inches
n= 10

Also, the critical value for 99% confidence interval =
[From x-value table.]
[Significance level =1-0.99=0.01 and
is 2.576.]
Then, the 99% two-sided confidence interval on the mean hole diameter will be :-

Hence, the required confidence interval = (1.4964, 1.5126)
No, .01 is farther from being 1 than .1 is.
Answer:
See explanation
Step-by-step explanation:
The given expression is: 
Recall that 24=3*8

Recall again that:





We rewrite in radical form to obtain
![\implies (8*3)^{\frac{1}{3}}=2\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Cimplies%20%288%2A3%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D2%5Csqrt%5B3%5D%7B3%7D)
Difference means subtract so we can reduce the choices right away to first and third choices. of the only the first is the difference of squares, namely x² - 4²
Answer:
x = 40
Step-by-step explanation:
180 = 100 + x +x
180-100= 2x
80 = 2x
x = 40