Let H denote the number of times Harry Potter manages to irritate Professor Snape in one day. Let R denote the number of times Ron Weasley manages to irritate Professor Snape in one day. Let the joint probability density function for (H, R) be h+r -24- 0 he(1,2), re(0, 1, 2, 3} otherwise uh, r)=
(a) Calculate Cov[H, R].
(b) Each day, Professor Snape takes 20 points from Gryffindor, simply because he can. Additionally, Professor Snape takes 10 points from Gryffindor each time Ron Weasley irritates him. The only person that Snap

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values

correct choice is a

step-by-step explanation:

the equation of the line passing through the points and is

thus, the equation of the line that passes through the points (0, -6) and (-3, 0) is

hello umm i don't understand your question can you explain it more pls

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.