Avery randomly selects 50 colored pencils from a basket and finds that 2 are not sharpened. If the basket contains 300 colored pencils, how many would you expect to be unsharpened?(1 point) Responses 120 120 12 12 20 20 2

Answer 1

To find out how many unsharpened colored pencils are expected in the entire basket, you can use the ratio of unsharpened pencils from the sample to extrapolate it to the total number of pencils.

In Avery's sample of 50 colored pencils, 2 were not sharpened. This gives us:

\[ \text{Fraction of unsharpened pencils} = \frac{2}{50} = \frac{1}{25} \]

Next, to estimate the number of unsharpened pencils in the entire basket of 300 pencils, we can multiply the total number of pencils by the fraction of unsharpened pencils:

\[ \text{Expected number of unsharpened pencils} = 300 \times \frac{1}{25} = 300 \div 25 = 12 \]

So, you would expect there to be 12 unsharpened pencils in the basket.

The correct response is 12.