Answer:
X = (J+M)/K
Step-by-step explanation:
Undo what has been done to the variable, in reverse order. The variable has been multiplied by K and M subtracted from the result. So, we first add M (to undo the subtraction), then we divide by K (to undo the multiplication).
KX = J +M . . . . . . M added to the given equation
X = (J + M)/K . . . . the result of that is then divided by K
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Since these are all capital letters, we might assume they represent vectors and/or matrices. If so, the "divide by K" step needs to be "multiply on the left by K^-1, the matrix inverse of K."
Then your solution looks like
X = K⁻¹·(J + M)
Answer:
a) ![s= 9.74](https://tex.z-dn.net/?f=%20s%3D%209.74)
D. 9.74
b) ![Median= 74](https://tex.z-dn.net/?f=%20Median%3D%2074)
B. 74
Step-by-step explanation:
Part a
We have the following dataset given:
69 74 75 62 70 93 64 69 61 88 67 77 87 90 66 91 77 63 82 82 71 74 76 65 83
We can begin calculating the sample mean with the following formula:
![\bar X = \frac{\sum_{i=1}^n X_i}{n}](https://tex.z-dn.net/?f=%20%5Cbar%20X%20%3D%20%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20X_i%7D%7Bn%7D)
And replacing we got:
![\bar X = 75.04](https://tex.z-dn.net/?f=%20%5Cbar%20X%20%3D%2075.04)
Now we can calculate the sample deviation with the following formula:
![s =\sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}](https://tex.z-dn.net/?f=%20s%20%3D%5Csqrt%7B%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20%28X_i-%5Cbar%20X%29%5E2%7D%7Bn-1%7D%7D)
And after replace we got:
![s= 9.74](https://tex.z-dn.net/?f=%20s%3D%209.74)
Part b
For this case we need to sort the value on increasing way:
[1] 61 62 63 64 65 66 67 69 69 70 71 74 74 75 76 77 77 82 82 83 87 88 90 91 93
And the median would be the value in the position 13 and we got:
![Median= 74](https://tex.z-dn.net/?f=%20Median%3D%2074)
The square root of 95 is 5 of5
Answer:
8
Step-by-step explanation: