To find the mean, you add up all the numbers and divide by the number of terms in the set. So...
3. (20+16+20+17.5+19.5+18+23) / 7 = 134 / 7 = about 19.14285714 or 19 and 1/7
4. (21+20+24+22+22+22+16) / 7 = 147 / 7 = 21
5. (100+90+72+95+85+83+89+81+86+93+98) / 11 = 972 / 11 = about 88.363636... or 88 and 4/11
6. (4+3+1+1+2+2+3+3+2) / 9 = 21 / 9 =2 .333... or 2 and 1/3
The diameter of the cylinder is approximately 22.94 inches.
To find the diameter of the cylinder, we can use the formula for the volume of a cylinder:
Volume
where π is a mathematical constant (approximately 3.14159), r is the radius of the cylinder, and h is the height of the cylinder.
Given that the height of the cylinder is 7 inches and the volume is 2,908.33 cubic inches, we can rearrange the formula to solve for the radius:
Volume
Dividing both sides of the equation by 7π, we have:
= 2,908.33 / (7π)
≈ 131.50
Taking the square root of both sides, we get:
r ≈ √131.50
r ≈ 11.47.
The radius of the cylinder is approximately 11.47 inches.
To find the diameter, we multiply the radius by 2:
d = 2 r
d ≈ 2 11.47
d ≈ 22.94
For similar question on diameter.
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Answer:
About 23 in
Step-by-step explanation:
2908.33/7=415.475
415.475/=132.31
132.31 sqr rt = r = 11.5
2r=d
d=23 aprox
Given:
Michelle and Michael checked some books out of the library. 20% of the books Michelle checked out were fiction books, and 40% of the books Michael checked out were fiction books.
To Find:
The error in the assessment that Michael checked out more fiction books than Michelle.
Answer:
We can determine who has more fiction books only when we know how many books each person has checked out in total and not by simply looking at the proportion of fiction books (20% and 40%) at face value.
Step-by-step explanation:
40% of the books Michael has checked out is fiction and 20% of the books Michelle has checked out is fiction.
So at face value, it is easy to assume that since 40 is greater than 20, it must be that Michael has checked out more fiction books.
However, the key to understanding the error in the assumption is that it is not given in the question that Michelle and Michael have borrowed the same number of books!
We must note the fact that we don't know how many books Michael and Michelle have checked out. The information given in the question is not enough to deduce who has more fiction books.
Say for example Michael has checked out 10 books and Michelle has checked out 40 books.
Then the number of fiction books Michael has is
40% of 10 books i.e., 4 books since
The number of fiction books Michelle has is 20% of 40 which is
i.e., Michelle has checked out 8 fiction books. We can see in this case that Michelle has actually checked out more books than Michael has.
If it was given that both Michael and Michelle have borrowed the same number of books (maybe say, 10 books each), then 20% of Michelle's books are fiction which implies she has checked out
i.e., 2 fiction books.
Similarly, as 40% of the books Michael has checked out is fiction, he has checked out 4 fiction books.
In this case, Michael has checked out more fiction books than Michelle.
Thus we can determine who has more fiction books only when we know how many books each person has checked out.
Marcus lost 35 pounds. 35/175 is 20%.