Answer:
64%
Step-by-step explanation:
The percentage of variation in the dependent variable explained by the estimated regression is calculated with the coefficient of correlation as follows:
First, square the coefficient of correlation: 0.8^2 = 0.64
And then, multiply this result by 100, so that, it is expressed as a percentage: 0.64*100 = 64%
X = dryer
(X+79) = washer
X + (X+79) = $1029
Therefore, x+x+79= 1029 or 2x+79=1029
Solve for x
2x = 1029-79
2x = 950
2x/2 = 950/2
X= $475 The price of the dryer is $475
Given:
The given expression is:

To find:
Part A: The expression by factoring out the greatest common factor.
Part B: Factor the entire expression completely.
Solution:
Part A:
We have,

Taking out the highest common factor 3y, we get

Therefore, the required expression is
.
Part B:
From part A, we have,

By grouping method, we get


Therefore, the required factored form of the given expression is
.
Answer:
a)Average cost function =
Marginal cost function =
b) 

c)
is the average cost to produce first 2000 items
C'(2000)=0.1 is the marginal cost to produce 2001 th item
Step-by-step explanation:
Cost function: 
a)Find the average cost and marginal cost functions.
Average cost function =
Average cost function =
Marginal cost function =
b) Determine the average and marginal cost when x = a.
a = 2000
Average cost function =
So, 
Marginal cost function =
c)Interpret the values obtained in part (b).
is the average cost to produce first 2000 items
C'(2000)=0.1 is the marginal cost to produce 2001 th item