Divide 2,512 by 3.14 and round to the nearest whole number
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Answer:
The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).
Step-by-step explanation:
We have to calculate a 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams.
The sample 1 (Fiberglass), of size n1=26 has a mean of 33.4 and a standard deviation of 2.2.
The sample 2 (Carbon), of size n2=26 has a mean of 42.8 and a standard deviation of 4.3.
The difference between sample means is Md=-9.4.

The estimated standard error of the difference between means is computed using the formula:

The critical t-value for a 99% confidence interval is t=2.678.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).
Answer:
342:608
Step-by-step explanation:
from the start and end up to the last
Answer:
![\sqrt[15]{m^2n^4}](https://tex.z-dn.net/?f=%5Csqrt%5B15%5D%7Bm%5E2n%5E4%7D)
Step-by-step explanation:
![(\sqrt[5]{m^2n^4} )^{\frac{1}{3}}\\\\\implies( (m^2n^4)^{\frac{1}{5}})^{\frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{5}\times \frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{15}}\\\\\implies (m^2)^{\frac{1}{15}} (n^4)^{\frac{1}{15}}\\\\\implies m^{\frac{2}{15}} n^{\frac{4}{15}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7Bm%5E2n%5E4%7D%20%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%5Cimplies%28%20%28m%5E2n%5E4%29%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%5Cimplies%20%28m%5E2n%5E4%29%5E%7B%5Cfrac%7B1%7D%7B5%7D%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%5Cimplies%20%28m%5E2n%5E4%29%5E%7B%5Cfrac%7B1%7D%7B15%7D%7D%5C%5C%5C%5C%5Cimplies%20%28m%5E2%29%5E%7B%5Cfrac%7B1%7D%7B15%7D%7D%20%28n%5E4%29%5E%7B%5Cfrac%7B1%7D%7B15%7D%7D%5C%5C%5C%5C%5Cimplies%20m%5E%7B%5Cfrac%7B2%7D%7B15%7D%7D%20n%5E%7B%5Cfrac%7B4%7D%7B15%7D%7D)
![\sqrt[15]{m^2n^4}](https://tex.z-dn.net/?f=%5Csqrt%5B15%5D%7Bm%5E2n%5E4%7D)
Answer:
6 times more longer
Step-by-step explanation: