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incorrect your answer is close to the correct answer. make sure not to …

Question

incorrect
your answer is close to the correct answer. make sure not to round any intermediate calculations.
mrs. washington is a librarian at central library. in examining a random sample of the librarys book collection, she found the following.
793 books had no damage,
83 books had minor damage, and
33 books had major damage.
based on this sample, how many of the 97,500 books in the collection should mrs. washington expect to have minor damage or major damage? round your answer to the nearest whole number. do not round any intermediate calculations.

books

Explanation:

Step1: Calculate the total number of books in the sample

$793 + 83+33=909$

Step2: Calculate the number of damaged books in the sample

$83 + 33=116$

Step3: Set up a proportion

Let $x$ be the number of damaged books in the collection. Then $\frac{116}{909}=\frac{x}{97500}$

Step4: Solve for $x$

$x=\frac{116\times97500}{909}$
$x=\frac{11310000}{909}\approx12442.24$

Answer:

$12442$