Five mercedes e550 vehicles are shipped to a local dealership. the dealer sells one e550 in any week with probability 0.3 and otherwise sells none in that week. when all e550s in stock have been sold, the dealer requests a new shipment of five such cars, and it takes 1 week for that delivery to occur. let xn = 1/4 the number of mercedes e550s at this dealership n weeks after the initial delivery of five cars.
(a) construct the transition matrix for this chain. [hint: the states are 0, 1, 2, 3, 4, 5.]
(b) determine the steady-state probabilities for this chain.
(c) on the average, how many weeks separate successive orders of five e550s?

If a and −a are numbers on the number line, which expression must give the distance between them? a) 0 b) a c) |2a| d) |a|

Solve 30% of what = 60 step by step

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