An unwary explorer happens upon a cave with an oracle. The oracle says she will let the explorer pass if he can solve five riddles within a 15-minute time limit. Suppose the explorer can solve riddles at an average rate of 18 per hour, and the number of riddles he can solve over time follows a Poisson distribution. What is the probability the explorer will complete the oracle's challenge and gain passage?

What is the length and width of a 84.5 square foot rug? will mark

If the segment op is dilated by a scale factor r=2, what is the length of segment op? a)10cm b)16cm c)6cm d)4cm

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