How to solve for "Find the equation of the line that is perpendicular to y = -2/3x and contains point (4,-8)" ?

Step-by-step explanation:

Equation of a line has been given as,

--------(1)

Slope of the line is,

By the property of perpendicular lines,

If the two lines having slopes and are perpendicular to each other,

Therefore, slope of the line perpendicular to the line (1) will be,

If this line passes through a point (4, -8) equation of the line will be,

it is x equals 3   plese mark me really need it

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.