A solid R has density p[x, y, z] grams/cm^3 at a point {x, y, z}. You get the center of mass {Subscript[x, μ], Subscript[y, μ], Subscript[z, μ]} of a solid R by setting Subscript[x, μ] = the average value of f[x, y, z] = x with respect to p[x, y, z] on R, Subscript[y, μ] = the average value of g[x, y, z] = y with respect to p[x, y, z] on R, and Subscript[z, μ] = the average value of h[x, y, z] = z with respect to p[x, y, z] on R. The top of a solid is the domed surface z = 8 - x^2 - y^2 , and the bottom is the paraboloid z = x^2 + y^2 . The density p[x, y, z] at a point {x, y, z} in the solid is proportional to the distance of {x, y, z} from the plane z = 0, so for z ≠ 0, p[x, y, z] = c z, where c is a positive constant of proportionality. Calculate the center of mass {Subscript[x, μ], Subscript[y, μ], Subscript[z, μ]} of the solid.

Deepak plotted these points on the number line. point a: –0.3 point b: – 3 4 point c: – 11 4 point d: –0.7 which point did he plot incorrectly?

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000

Subtract and simplify. (-y^2 – 4y - 8) – (-4y^2 – 6y + 3) show how you got the answer if your answer is right i will mark you