A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow ovels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library?

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1 answer

We can use proportions to estimate the number of patrons who borrow novels:

If 3 out of 80 patrons borrow novels, then the proportion of patrons who borrow novels is:

3/80 = 0.0375

We can assume that this proportion is roughly the same for the entire population of 345 patrons. So, we can estimate the number of patrons who borrow novels as:

0.0375 x 345 = 12.94

Rounding this to the nearest whole number, we can estimate that approximately 13 patrons borrow novels when they visit the library.