For the table to the right, represent the relationship using words, an equation, and a graph. Then determine whether the relationship is a linear function.
х
0
1
2
3
y
-3
4
11
18
OA. The value of y is one more than the quantity five times the value of x.
OB. The value of y is the cube of the quantity ten plus the value of x.
O C. The value ofy is four times the value of x.
OD. The value of y is one more than the cube of the quantity four times the value of x.
O E. The value of y is three less than the quantity seven times the value of x.
OF. The value ofy is the square of the quantity seven minus the value of x.

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.

good luck on ur quiz test or homework. have a good day : )

there were only 2 presidents that were under the age of 45. theodore roosevelt, and jfk, that makes 5%