HURRY Which of the following situations represents a direct variation between x and y? Dana will travel 150 miles.
x= the speed at which Dana is traveling
Y= the number of hours she will be traveling

Jamal earns a fixed pay of $300 every week.
x= the number of hours he works during the week
Y= the pay he earns per hour

Max earns $10 for each car he washes.
x= the number of cars he washes
Y= the total amount of money he earns

The area of a rectangle is exactly 24 square inches.
x= the length of the rectangle
Y= the width of the rectangle

system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt.

Step-by-step explanation:

just put them in order

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.