Answer:
We have a strong negative relationship between the variables.
Step-by-step explanation:
Given two random variables X and Y, it is possible to calculate the covariance as Cov(X, Y) = E(XY)-E(X)E(Y). We have E(X)=5, E(Y)=6 and E(XY)=21. Therefore Cov(X,Y)=21-(5)(6)=21-30=-9. On the other hand, we know that the correlation of X and Y is the number defined by
and because in this particular case we have V(X)=9 and V(Y)=10, we have
= -0.9487. Therefore, we have a strong negative relationship between the variables.
First, you have to find what 80% of 15 is. In order to do that you have to change 80% percent to decimal, which would be .80. Then, multiply .80 and 15 to get 12. Subtract 12 from 15 and your answer is 3.
Answer: x = 8
Step-by-step explanation:
8(3-2x) + 4(3x - 2) = -16
expanding the equation , we have
24 - 16x +12x - 8 = -16
16 - 4x = -16
collecting the like terms
4x = 32
x = 32/4
x = 8
Answer:
A. 3
Step-by-step explanation:
You can see that the y-values are increasing by 3.
Slope = Rise/Run
So if you rise 3 and run 1, you have 3/1 which is 3.
Answer:
13
Step-by-step explanation:
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