1point
the graph of f(x) = 1 is shown below. if you horizontally shift this function
right 7 units, what is the equation of the new function?

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.

1 f.1=1(2)+in(1)

1=2+1in

-2   -2

-1=1in

-1=in

3: f(3)=x(3)+in(3)

3f=3x=3in

2+2=f.900,fh

fi33

fi3wfwp

eilkfh2p=21

0+1=293 023i

29u4pe2e

203ru

hope it !