6.A random sample of 60 married couples who have been married 7 years was ask the number of children they have. You may assume requirements are satisfied. The results of the survey are as follow00033313223132403331023314231 3350230442232222343221432421232a. What is the shape of the distribution of the sample mean? Why?b. Compute a 95% confidence interval for the mean number of children of all couples who have been married for 7 years. Interpret the interval. c.Computer the 99% confidence interval for the mean number of childrenof all couples who have been married 7 years. Interpret the interval.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.