Atruck driver is driving from nome, alaska to death valley, california. because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. the gas he uses freezes at −40° f and evaporates at 140° f.
part a: write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form. (2 points)
part b: describe the graph of the inequality completely from part a. use terms such as open/closed circles and shading directions. explain what the solutions to the inequality represent. (4 points)
part c: in january 1989, the temperature in nome, alaska dropped to −49° f. would the gas in the driver's truck have remained in liquid form so he could have driven on this day? why or why not? (4 points

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

try soting them out first

step-by-step explanation:

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.