Every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y=15+110x-16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint if the pumpkin hits the ground, its height is 0 feet.) a: the pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01seconds. b: the pumpkin's maximum height is 3.44 feet and it hits the ground after 7.01 seconds. c: the pumpkin's maximum height is 204.06 feet and it hits the ground after 3.44 seconds d: the pumpkin's maximum height is 3.44 feet and it hits the ground after 204.06 seconds

step-by-step explanation:

oh the deck is the size of my dic k so about 320 inches hope u get my dic k as the answer

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.