The mean absolute deviation of the number of books is 1.84
<h3>How to determine the mean absolute deviation?</h3>
The dot plot of the number of books is in the attached figure.
From the figure, we have:
x f
1 1
2 2
3 2
4 3
5 1
6 2
7 3
8 1
Start by calculating the mean using:
So, we have:
Evaluate the sum and products
Divide
The mean absolute deviation is then calculated as:
So, we have:
Evaluate the absolute difference
Evaluate the sum of products
Divide
Hence, the mean absolute deviation of the number of books is 1.84
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Answer:
Step-by-step explanation:
The volume of a cylinder is:
where is the radius and is the height.
The height is 4 inches greater that the radius, so:
Substituting this in the formula for volume:
the volume is
thus:
Dividing everything between pi:
We can see that the solution for this is
since
We have the radius, now we find the height:
X = 2y + 8
x - y = 25
2y + 8 - y = 25
y = 25 - 8
y = 17
x = 2y + 8
x = 2(17) + 8
x = 34 + 8
x = 42
the larger number (x) = 42...and the smaller number (y) = 17