Answer:

Step-by-step explanation:
Given


Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints



Open bracket


Next, determine the slope of the given endpoints.




Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:

In this case:

So:


Since the slope is
, the equation is:

Where:

Recall that:

So:

Hence, the equation is:

1 gal because there is 16 cups in a gallon
Answer:

Step-by-step explanation:
Given the mean is 3.2, standard deviation is 0.8 and the sample size is 64.
-We calculate the probability of a mean of 3.4 as follows:
#First determine the z-value:

#We then determine the corresponding probability on the z tables:

Hence, the probability of obtaining a sample mean this large or larger is 0.0228
All possibilities = 9!
possibilities that harry sits at an end = 8! + 8!
possibilities that harry doesn't sit at an end = 9! - 8! -8!
Set up a proportion: 25/100 = 50/n where n = # of teens surveyed
Simplify fraction: 1/4 = 50/n
Cross multiply: n = 200
So 200 teens were surveyed.