Answer:
88 square inches
Step-by-step explanation:
if the entire square was shaded it would be 14 x 12 (as best as i can see)
the "cut out" or white part of the square is 8 x 10
Entire squre - cutout white part
14 x 12 - 8 x 10
168 - 80
88 sq in
Answer:
19 beers must be sampled.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.645.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.
This means that 
If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?
This is n for which M = 0.1. So






Rounding up:
19 beers must be sampled.
Here, you would complete it with the Pythagorean Theorem.
So, A^2 + B^2 = C^2
So 14^2 + B^2 = 14^2
This equals = B = 11.49

which means the parabola lies above the x-axis over its entire domain. This means the area is given by