In one region, the september energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kwh  and a standard deviation of 218 kwh  if 50 different homes are randomly selected, find the probability that their mean energy consumption level for september is greater than 1075 kwh. your answer should be a decimal rounded to the fourth decimal place.

What is the remainder when 3x^2-x-10 is divided by x-1 -6,-7,-8, or -9

Two numbers have a sum of 93. if one number is p, express the other number in terms of p.

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3