Step-by-step explanation:
![ratio \:of \:surface \:areas\\=\frac{2[5\times 7 + 7\times 3+3\times 5]}{2[20\times 28+ 28\times 12+12\times 20] }\\\\=\frac{[35 + 21+15]}{[560+ 336+240] }\\\\=\frac{71}{1136}\\\\=\frac{1}{16}\\\\= 1\: :\: 16](https://tex.z-dn.net/?f=%20ratio%20%5C%3Aof%20%5C%3Asurface%20%5C%3Aareas%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B2%5B5%5Ctimes%207%20%2B%207%5Ctimes%203%2B3%5Ctimes%205%5D%7D%7B2%5B20%5Ctimes%2028%2B%2028%5Ctimes%2012%2B12%5Ctimes%2020%5D%20%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B%5B35%20%2B%2021%2B15%5D%7D%7B%5B560%2B%20336%2B240%5D%20%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B71%7D%7B1136%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B1%7D%7B16%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%201%5C%3A%20%3A%5C%3A%2016)
Answer: 7.22
(note: this is a result after rounding. The result before rounding was 7.21875)
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Explanation:
Given Set of Values = {22, 16, 39, 35, 19, 34, 20, 26}
Add up the values: 22+16+39+35+19+34+20+26 = 211
Divide that sum by 8 as there are 8 values: 211/8 = 26.375
The mean is 26.375
Now subtract the mean from each data value. Apply the absolute value to ensure the difference is never negative
|22 - 26.375| = 4.375
|16 - 26.375| = 10.375
|39 - 26.375| = 12.625
|35 - 26.375| = 8.625
|19 - 26.375| = 7.375
|34 - 26.375| = 7.625
|20 - 26.375| = 6.375
|26 - 26.375| = 0.375
Add up those results
4.375+10.375+12.625+8.625+7.375+7.625+6.375+0.375 = 57.75
Then divide by 8
57.75/8 = 7.21875
The mean absolute deviation of the prices is 7.21875
Rounded to two decimal places, it is 7.22
Since we're talking about money, it makes sense to round to the nearest penny.
Assuming the rotation is around the origin (0,0) then A' = A. The parallelogram is in its original location
Youll have 80 pennies. dime=.10 10x8=80
