Let n be a randomly selected integer from 1 to 20. Find the indicated probability. Note: these are called conditional probabilities and their notation is shown in red.

n is 2 given that it is even. P(2|even)

n is 5 given that it is less than 8. P(5| less than 8)

n is prime given that it has two digits. P(prime|has two digits)

n is odd given that it is prime. P(odd|prime)

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