Evaluate • S S S S 3xz dV where E = {(x, y, z) | 2≤ x ≤ 3, x ≤ y ≤ 2x, 0 < z < x+2y} . Round your answer to four decimal places.

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. х 6. |y 48 43 33 26 Complete parts (a) through (e), given Ex = 14, Ey = 150, Ex2 = 66, Ey2 = 5918, Exy = 455, and r= -0.992. (a) Draw a scatter diagram displaying the data. 55 Graph Layers Cleat All • Point 1 50 • Point 2 45 Fill • Point 3 40 • Point 4 35 No Solution 30 25 20 O Help WebAssign. Graphing Tool O Submission Data (b) Verify the given sums Ex, Ey, Ex2, Ey2, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex = 14 Ey = 150 Ex = 66 Ey2 = 5918 Σγ2 Exy = 455 r= -0.992 (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a…