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Aleks04 [339]
2 years ago
6

Mrs. Wood is a librarian at Westside Library. In examining a random sample of the library's book collection, she found the follo

wing. 716 books had no damage, 68 books had minor damage, and 43 books had major damage. Based on this sample, how many of the 36,500 books in the collection should Mrs. Wood expect to have major damage? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Mathematics
1 answer:
uysha [10]2 years ago
6 0

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

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It's a Octagon!!!!!!!!!!!!

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Find and interpret a 95% confidence interval to estimate the average number of bolts per box for all boxes in the population. Ro
gayaneshka [121]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is  49.85    < \mu < 54.15

This means that there is 95% chance that the true population mean is within this interval

Step-by-step explanation:

From the question we are told that

    The  sample size is n = 30  

    The sample mean is  \= x  =  52

    The population standard deviation is  \sigma =  6

Given that the confidence level is 95% then the level of confidence is evaluate as

             \alpha  =  100 -  95

            \alpha  =  5\%

            \alpha  =  0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

                 Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

           E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

            E =  1.96  *  \frac{ 6 }{\sqrt{30} }

           E =  2.147

The  95% confidence interval is mathematically represented as

          \= x  - E  < \mu <  \= x  + E

substituting values

         52   - 2.147   < \mu <  52   +   2.147

         49.85    < \mu < 54.15

       

     

4 0
4 years ago
Will give Brainliest to whoever answers first!
lapo4ka [179]

Answer:

solid...(-3,0)(-4,-1)...shaded below the line

slope = (-1-0) / (-4-(-3) = -1/(-4 + 3) = -1/-1 = 1

y = mx + b

-1 = 1(-4) + b

-1 = -4 + b

-1 + 4 = b

3 = b

this line is : y < = x + 3 <== (thats less then or equal)

====================

solid...(1,1)(2,-1)...shaded below the line

slope = (-1-1) / (2-1) = -2/1 = -2

y = mx + b

1 = -2(1) + b

1 = -2 + b

1 + 2 = b

3 = b

Step-by-step explanation:

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3 years ago
I mark brainliest.......
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Answer:

Try answers.com!!! I don't know this but visit the site :)

Step-by-step explanation:

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What is the solution to this system of equations? -5.9 x-3.7 y = -2.1. 5.9 x + 3.7 y = 2.1. a. (0, Negative 2.1) b.(0, 2.1) c. i
fenix001 [56]

Assuming your system of equations is

\begin{cases}-5.9 x-3.7 y = -2.1\\ 5.9 x + 3.7 y = 2.1\end{cases}

The answer is C. Infinitely many solutions. If my assumption is incorrect, then the answer will be likely different.

The reason why it's "infinitely many solutions" is because the first equation is the same as the second equation. The only difference is that everything was multiplied by -1. You could say that both sides were multiplied by -1.

Both equations given graph out the same line. They overlap perfectly yielding infinitely many solution points on the line.

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