Remind yourself of the three axioms of incidence geometry from, I1, I2, and I3 from Euclid's Book 1. Free book found on https://mathcs. clarku. edu/~djoyce/java/elements/bookI/boo kI. html
(a) Draw a model of points and lines in which I1 and I2 are true but I3 is false,
(b) Draw a model of points and lines in which I1 and I3 are true but I2 is false,
(c) Draw a model of points and lines in which I2 and I3 are true but I1 is false

the answer is su.k.my? ? co.kc

its kinda hard to answer this when we dont have all the information that we need.

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.