Consider a game in which a participant pays $2 to roll a die. The participant receives $3 if they roll a 1 (i. E. They go up by a $1) and they receive $4 if they roll a 6 (i. E. They go up by $2). If they roll any other number they lose their $2 (i. E. They lost $2). What is the average expected monetary value of a single roll?

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