Question

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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Answer 1

[AI-generated answer — Bot]

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.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the approximate number of patrons who borrow novels when they visit the library, we can use proportions.

Let's set up a proportion using the information provided:

Number of patrons who borrow novels / Total number of patrons surveyed = Number of patrons who borrow novels / Total number of patrons

Given information:
Number of patrons surveyed = 80
Number of patrons who borrow novels = 3
Total number of patrons = 345

Setting up the proportion:

3 / 80 = x / 345

To solve for x, we can cross multiply:

80x = 3 * 345

80x = 1035

Divide both sides of the equation by 80:

x = 1035 / 80

x ≈ 12.94

So, approximately 12.94 patrons borrow novels when they visit the library. Since we can't have a fraction of a patron, we round this number to the nearest whole number.

Approximately 13 patrons borrow novels when they visit the library.