Answer:
The 80% confidence interval for the mean usage of water is between 18.4 and 18.6 gallons per day.
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 Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
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 lower end of the interval is the sample mean subtracted by M. So it is 18.5 - 0.1 = 18.4 gallons per day.
The upper end of the interval is the sample mean added to M. So it is 18.5 + 0.1 = 18.6 gallons per day.
The 80% confidence interval for the mean usage of water is between 18.4 and 18.6 gallons per day.
The volume of the given shape will be equal to V=2827.42 cubic inches.
<h3>What is volume?</h3>
The volume is defined as the space occupied by the object in the three-dimensional plane. It requires three coordinates to find the volume of any object.
Here it is given in the question that:-
Radius of the semicircle=12 inches
Height of the cylinder =13 inches.
Now the volume will be calculated as:-
Total volume of the figure will be the sum of the Volume of the semicircle and the Volume of the cylinder.
= 2πr³+πr²l
= 2xπx(6)³+πx(6)²x13
=1357.16+1470.26
=2827.42 Cubic inches
Hence the volume of the given shape will be equal to V=2827.42 cubic inches.
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Answer:
A. 130 degrees
B. 50 degrees
Step-by-step explanation:
A. It's a straight line so the angle is 180. U subtract 50 from. 180 and u get 130
B. It 50 because it's vertically opposite angle to angle AEC