Base = 5 * 12 = 60 in^2
Height = 4 in
Perimeter is the sum of all straight
Perimeter = 20 + 16 + 48
Perimeter = 84 in
Perimeter of base = 12 * 2 + 5 * 2 = 34
Answer:
It add up by 6.
Step-by-step explanation:
6 plus 6 is 12 plus another is 18 and it keeps going.
Answer: 196
Step-by-step explanation:
As per given , we have
Population standard deviation: ![\sigma=0.6\ lb](https://tex.z-dn.net/?f=%5Csigma%3D0.6%5C%20lb)
Significance level : ![\alpha: 1-0.98=0.02](https://tex.z-dn.net/?f=%5Calpha%3A%201-0.98%3D0.02)
Using the z-value table , the critical z value for 98% confidence : ![z_{\alpha/2}=2.33](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D2.33)
Margin of error : E= 01 lb
Sample size : ![n=(\dfrac{z_{\alpha/2}\cdot\sigma}{E})^2](https://tex.z-dn.net/?f=n%3D%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%5Ccdot%5Csigma%7D%7BE%7D%29%5E2)
![n=(\dfrac{(2.33)\cdot(0.6)}{0.1})^2](https://tex.z-dn.net/?f=n%3D%28%5Cdfrac%7B%282.33%29%5Ccdot%280.6%29%7D%7B0.1%7D%29%5E2)
Simplify , we get
![n=195.4404\approx196](https://tex.z-dn.net/?f=n%3D195.4404%5Capprox196)
Hence, the minimum sample size required for books = 196
First, we get rid of the negative exponent in the parenthesis. We do this by moving it to the top. Our equation is now:
![( \frac{4m^3n}{n^6})^{-2}](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B4m%5E3n%7D%7Bn%5E6%7D%29%5E%7B-2%7D%20%20)
Next, we can cross out one n from both the top and the bottom.
![(\frac{4m^3}{n^5} )^{-2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B4m%5E3%7D%7Bn%5E5%7D%20%29%5E%7B-2%7D%20)
Finally, we evaluate the -2
Our equation becomes:
![\frac{ (4*m^3)^{-2} }{(n^5) ^{-2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%284%2Am%5E3%29%5E%7B-2%7D%20%20%7D%7B%28n%5E5%29%20%5E%7B-2%7D%20%7D%20)
This becomes:
![\frac{(n^5)^2}{(4*m^3)^2} = \frac{ n^{10} }{16*m^6}](https://tex.z-dn.net/?f=%5Cfrac%7B%28n%5E5%29%5E2%7D%7B%284%2Am%5E3%29%5E2%7D%20%3D%20%20%5Cfrac%7B%20n%5E%7B10%7D%20%7D%7B16%2Am%5E6%7D%20)
This can not be simplified any further, so this is the final answer.