Answer:
Step-by-step explanation:
Given the regression equation :
y=2+3x
Mean of y values ; y = 5.0
Where y is the predicted variable ; x = predictor variable
The predicted value of y for X = 2
Null: H0 = 5
Alternative H1 : ≠ 5
Sample size (n) = 10 pairs
Degree of freedom = n - 2 = 10 - 2 = 8
Answer:
120
Step-by-step explanation:
From 20, choose 3:
₂₀C₃ = 120
Here we use combinations instead of permutations because the order doesn't matter.
The answer is c.two or more transformations
Answer:
Length = 16.3 in and Width = 12.3 in
Step-by-step explanation:
Let's name L the length and W the width of the rectangle. We can then write equations describing the statements given:
"<em>the length of a rectangle is 4 more than the width</em>"
L = W + 4
"<em>the perimeter of the rectangle is 57.2 inches</em>"
2 L + 2 W = 57.2
(where we used the formula for the perimeter of the rectangle equal to twice the rectangle's length plus twice the rectangle's width)
Now we use the first equation to substitute for L in the second one:
2 ( W + 4) + 2 W = 57.2
use distributive property to remove parenthesis
2 W + 8 + 2 W = 57.2
combine like terms
4 W + 8 = 57.2
subtract 8 from both sides
4 W = 57.2 - 8 = 49.2
divide both sides by 4 to isolate W
W = 49.2 / 4 = 12.3 in
Now we use this result in the first equation we wrote, to find L
L = W + 4 = 12.3 + 4 = 16.3 in
Therefore : Length = 16.3 in and Width = 12.3 in
<h3>
Answer: B) 1 & 3</h3>
Explanation:
Vertical angles form when we have an X shape like this. They are opposite one another and always congruent. Angles 2 and 4 is the other set of vertical angles.
