An urn contains 5 red, 6 blue, and 8 green balls. if a set of 3 balls is randomly selected, what is the probability that each of the balls will be (a) of the same color? (b) of different colors? repeat under the assumption that whenever a ball is selected, its color is noted and it is then replaced in the urn before the next selection. this is known as sampling with replacement.

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