A student examines two graphs representing functions y=f(x) and y = g(x). The student notices that
the graphs of the functions f (x) = 5xl - 4 and
g(x) = x2 - 4 both have a y-intercept at the point
(0, -4). The student makes the following claim:
"For any constant c, the location of the y-intercept for the
graphs of cof (x) and cog (x) is the same."
Show that this claim is true by giving the y-value, in terms
of c, of the ordered pair that represents the y-intercept
(0, y) for the graphs of cof (x) and cog (x).

on your paper it doesn't say the answer but the the answer is altitude

step-by-step explanation:

it would rotate about 180 degrees.

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.