∑x = 1 + 2 + 3 + 4 + 5 + 6 = 21
∑y = 8 + 3 + 0 + 1 + 2 + 1 = 15
∑x^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
∑y^2 = 64 + 9 + 0 + 1 + 4 + 1 = 79
∑xy = 8 + 6 + 0 + 4 + 10 + 6 = 34
r
= (n∑xy - ∑x∑y)/(sqrt(n∑x^2 - (∑x)^2)*sqrt(n∑y^2 - (∑y)^2)) = (6(34) -
21(15))/(sqrt(6(91) - (21)^2)*sqrt(6(79) - (15)^2)) = (204 -
315)/(sqrt(546 - 441)*sqrt(474 - 225)) = -111/(sqrt(105)*sqrt(249)) =
-111/(10.25*15.78) = -111/161.7 = -0.68
Answer:
0.84 U.S. dollars2
Step-by-step explanation:
your welcome
Answer:
Step-by-step explanation:
6 inches enlarged by 1.5 = 9 inches
9 inches enlarged by 1.5 = 13.5 inches
Area would be 9x13.5=
121.5 inches for the area
Hope this helps you out.
Answer:
The y-intercept moves 13 spaces lower
Step-by-step explanation:
Answer:
the transformed function will be: 
Step-by-step explanation:
We need to transform 
into g(x) using following translations
1) reflection in the x-axis
The reflection across x-axis will be:
2) Horizontal shrink by a factor of 1/3
The horizontal shrink by a factor of 1/3 will make the function g(x)
3) Vertical translation up 2 units
The vertical translation up 2 units will make the function g(x)
So, the transformed function will be:
