Question

from 12,000 graphing calculators produced by a manufacturer, an inspector selects a random sample of 525 calculators and finds 6 defective calculators. estimate the total number of defective calculators out of the 12,000.
there are about \\(\square\\) defective calculators out of the 12,000.
(round to the nearest whole number as needed.)

Explanation:

Step1: Find the proportion of defective calculators in the sample.

The sample has 525 calculators, and 6 are defective. So the proportion is $\frac{6}{525}$.

Step2: Apply this proportion to the total number of calculators (12,000) to estimate the number of defective ones.

We calculate $12000\times\frac{6}{525}$. First, simplify $\frac{6}{525}=\frac{2}{175}$. Then $12000\times\frac{2}{175}=\frac{24000}{175}\approx137.14$. Rounding to the nearest whole number gives 137.

Answer:

137