∑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
9514 1404 393
Answer:
A, E
Step-by-step explanation:
You are correct that the appropriate relationship is ...
g = 0.4t . . . . choice A
You are also correct that an equivalent relationship is ...
t = 2.5g . . . . choice D
However, when we say gallons are proportional to seconds, we usually expect that to be written ...
g = kt . . . . for some value of k
__
We note that another equivalent is ...
g = 2/5t . . . . choice E
The appropriate choices are probably A and E. Choice D might be argued to be correct, but you could very well lose that argument to someone who prefers a "g = " form of the relationship.
There would have been 3.25 or 3 1/4 pounds of candy eaten.
you would do 5 1/2 - 2 1/4 and get 3 1/4 .
8/9×6/7= 48/63. You multiply a cross the fraction. Your answer is 48/63.
