Answer:
Following are the solution to the given equation:
Step-by-step explanation:
Please find the complete question in the attachment file.
In point a:
![\to \mu=\frac{\sum xi}{n}](https://tex.z-dn.net/?f=%5Cto%20%5Cmu%3D%5Cfrac%7B%5Csum%20xi%7D%7Bn%7D)
![=22.8](https://tex.z-dn.net/?f=%3D22.8)
![\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}](https://tex.z-dn.net/?f=%5Cto%20%5Csigma%3D%5Csqrt%7B%5Cfrac%7B%5Csum%20%28xi-%5Cmu%29%5E2%7D%7Bn-1%7D%7D)
![=\sqrt{\frac{119.18}{16-1}}\\\\ =\sqrt{\frac{119.18}{15}}\\\\ = \sqrt{7.94533333}\\\\=2.8187](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B119.18%7D%7B16-1%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%5Cfrac%7B119.18%7D%7B15%7D%7D%5C%5C%5C%5C%20%3D%20%5Csqrt%7B7.94533333%7D%5C%5C%5C%5C%3D2.8187)
In point b:
![\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}](https://tex.z-dn.net/?f=%5Cto%20%5Csigma%3D%5Csqrt%7B%5Cfrac%7B%5Csum%20%28xi-%5Cmu%29%5E2%7D%7Bn-1%7D%7D)
![=\sqrt{\frac{26.3375}{16-1}}\\\\=\sqrt{\frac{26.3375}{15}}\\\\ =\sqrt{1.75583333}\\\\ =1.3251](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B26.3375%7D%7B16-1%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cfrac%7B26.3375%7D%7B15%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B1.75583333%7D%5C%5C%5C%5C%20%3D1.3251)
In point c:
![\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}](https://tex.z-dn.net/?f=%5Cto%20%5Csigma%3D%5Csqrt%7B%5Cfrac%7B%5Csum%20%28xi-%5Cmu%29%5E2%7D%7Bn-1%7D%7D)
![=\sqrt{\frac{2.62}{16-1}}\\\\ =\sqrt{\frac{2.62}{15}} \\\\= \sqrt{0.174666667}\\\\=0.4179](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B2.62%7D%7B16-1%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%5Cfrac%7B2.62%7D%7B15%7D%7D%20%5C%5C%5C%5C%3D%20%5Csqrt%7B0.174666667%7D%5C%5C%5C%5C%3D0.4179)
In point d:
![\to \mu=\frac{\sum xi}{n}](https://tex.z-dn.net/?f=%5Cto%20%5Cmu%3D%5Cfrac%7B%5Csum%20xi%7D%7Bn%7D)
![\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}](https://tex.z-dn.net/?f=%5Cto%20%5Csigma%3D%5Csqrt%7B%5Cfrac%7B%5Csum%20%28xi-%5Cmu%29%5E2%7D%7Bn-1%7D%7D)
![=\sqrt{\frac{8.2975}{16-1}}\\\\ =\sqrt{\frac{8.2975}{15}} \\\\ =\sqrt{0.553166667} \\\\ =0.7438](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B8.2975%7D%7B16-1%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%5Cfrac%7B8.2975%7D%7B15%7D%7D%20%5C%5C%5C%5C%20%20%3D%5Csqrt%7B0.553166667%7D%20%5C%5C%5C%5C%20%3D0.7438)
Answer:
3000+0+60+2 & Three thousand sixty two
Step-by-step explanation:
Here are the answers. Sorry if the writing isn’t very clear! I hope this helps!!
Answer:
The dimensions are 10 2/3 feet by 5 1/3 feet (Ten and two-thirds and five and one third).
Step-by-step explanation:
This is our system of equations:
y=Length
x=Width
y=2x
2x+2y=32
We can substitute the y value in the second equation by plugging in the first equation:
2x+2(2x)=32
2x+4x=32
6x=32
x=16/3 or 5 1/3
We can plug in this x value into the first equation to find the y value:
y=2(16/3)
y=32/3 or 10 2/3