What is the linear functions f with the values f (-6) = 10 and f (2) = 10?

Given:

f (-6) = 10 and f (2) = 10?

To find:

The linear function f.

Solution:

If f(x)=y, then the function passes through (x,y).

We have, f (-6) = 10 and f (2) = 10, it means the function passes through (-6,10) and (2,10). So, the equation is

Adding 10 on both sides, we get

Function form is

Therefore, the required function is . It is a constant function.

you'll have to attache the image of the bar graph in order for us to answer : )

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.