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sheleah and her family are planning a trip from los angeles, california to melbourne, australia. while booking her family's plane tickets, she notices on the itinerary that the airline is offering a sixteen hour straight flight from los angeles to melbourne on a boeing 747-8 intercontinental jet. in an effort to learn more about the capabilities of the jet, sheleah does a little research and stumbles upon the following graph and facts about the jet's gasoline consumption.

the boeing 747-8 intercontinental jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.
use a linear model to predict the amount of gasoline that is present on the jet after it has been in flight for 18 hours without stopping to refuel. in two or more complete sentences, explain your answer.

a long term investor

step-by-step explanation:

because he is a long term investor

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.