-x + 1/2 = x + 4 1/2
+x +x
1/2 = 2x + 4 1/2
-4 1/2 - 4 1/2
-4 = 2x
x = -2
Compute the sample variance for the following scores: 25, 36, 41, 28, 29, 32, 39, 37, 34, 34, 37, 35, 30, 36, 31, 31
Inga [223]
Answer:
Step-by-step explanation:
From the given information:
The mean ![\hat x = \dfrac{\sum x}{n}](https://tex.z-dn.net/?f=%5Chat%20x%20%3D%20%5Cdfrac%7B%5Csum%20x%7D%7Bn%7D)
![\hat x = \dfrac{25+36+41+28+29+32+29+37+34+34+37+35+30+36+31+31}{16}](https://tex.z-dn.net/?f=%5Chat%20x%20%3D%20%5Cdfrac%7B25%2B36%2B41%2B28%2B29%2B32%2B29%2B37%2B34%2B34%2B37%2B35%2B30%2B36%2B31%2B31%7D%7B16%7D)
![\overline{x} = \dfrac{535}{16}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%3D%20%5Cdfrac%7B535%7D%7B16%7D)
![\overline{x} = 33.44](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%3D%2033.44)
The sample variance is as follows:
![S^2 = \dfrac{\sum dx^2 - ( \dfrac{\sum dx)^2}{n} )}{n-1}](https://tex.z-dn.net/?f=S%5E2%20%3D%20%5Cdfrac%7B%5Csum%20dx%5E2%20-%20%28%20%5Cdfrac%7B%5Csum%20dx%29%5E2%7D%7Bn%7D%20%29%7D%7Bn-1%7D)
![S^2 = \dfrac{279- ( \dfrac{7}{15} )^2}{15}](https://tex.z-dn.net/?f=S%5E2%20%3D%20%5Cdfrac%7B279-%20%28%20%5Cdfrac%7B7%7D%7B15%7D%20%29%5E2%7D%7B15%7D)
![S^2 = 18.585](https://tex.z-dn.net/?f=S%5E2%20%3D%2018.585)
Repeating decimals are rational....but they have to be repeating.
The only one that is not repeating is : D .131131113...now if the last 3 digits would have been 131 instead of 113, then it would have been rational.
<span>Cost of maple syrup = $6.00 a Gallon
Cost of corn syrup = 0.80 cents a Gallon
Cost of the syrup mixture = $2.36 a Gallon
There is mixture of 50 Gallons
Lets maple syrup be x gallons, so corn syrup be 50-x gallons
Hence,
6*x + 0.80(50-x) = 2.36*50
6x + 40 - 0.8x = 118
5.2x = 78
=> x = 78/5.2 => x = 15
So Maple will be syrup be 15 gallons.
Corn syrup will be 35 gallons.</span>
Answer:
1,350 square cm
Step-by-step explanation:
As we all know, we have to square a dimension of length to get the dimension of an area
So in this case, since the dimension of the length is increasing by a factor of 3, the dimension of the area will be increasing by a factor which is square the factor by which the dimension of the side is increasing
Thus, we have the area dimension increase by a factor of 3^2 = 9 times the area of the smaller
nonagon
So the area of the bigger nonagon will be :
150 * 9 = 1,350 square cm