Using proportions, it is found that Mrs. Wood should expect 1,898 books out of the 36,500 to have major damage.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
For this problem, the proportion of books with major damage is:
43/(716 + 68 + 43) = 0.051995.
Hence, out of 36,500 books, the expected amount of books with major damage is:
0.051995 x 36,500 = 1898.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Answer:
This would be identified as a scale factor of 3x
Step-by-step explanation:
We can divide the height of B by A, 3/1 = 3
We can divide the length of B by A, 9/3 = 3
Scale factor of 3
Parallel lines have the same slope so for the new line we m=-2 and the point (2,2) we will substitute this info into our line to solce for b the y intercept.
Y=-2x+b
(2)=-2(2)+b
2=-4+b
2+4=-4+4+b
6=b
Now we put it all together using the slope m=-2 and the y intercept of 6
Y=-2x+6
Answer: 0.6000
Step-by-step explanation:
Given : The annual increase in height of cedar trees is believed to be distributed uniformly between 5 and 10 inches.
Then the probability density function:-
Then , the probability that a randomly selected cedar tree will grow less than 8 inches in a given year will be :-
![P(x\leq8)=\int^8_5f(x)\ dx\\\\=\int^8_5(\dfrac{1}{5})\ dx\\\\=\dfrac{1}{5}[x]^8_5\\\\=\dfrac{1}{5}\times(8-5)=\dfrac{3}{5}=0.6000](https://tex.z-dn.net/?f=P%28x%5Cleq8%29%3D%5Cint%5E8_5f%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E8_5%28%5Cdfrac%7B1%7D%7B5%7D%29%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%5Bx%5D%5E8_5%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%5Ctimes%288-5%29%3D%5Cdfrac%7B3%7D%7B5%7D%3D0.6000)
Hence, the probability that a randomly selected cedar tree will grow less than 8 inches in a given year =0.6000
