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 20 20 2 2 120 120 12

Answer 1

Based on Avery's randomly selected sample of 50 colored pencils, 2 were not sharpened. If the basket contains 300 colored pencils, we can proportionally determine how many colored pencils would be expected to be unsharpened in the entire basket.

Let x be the number of colored pencils expected to be unsharpened in the entire basket.

Using a proportion:

(2 unsharpened pencils out of 50 pencils) = (x unsharpened pencils out of 300 pencils)

(2/50) = (x/300)

Cross multiply:

2 * 300 = 50 * x

600 = 50x

Divide by 50:

x = 12

Therefore, you would expect 12 colored pencils to be unsharpened in the entire basket of 300 colored pencils.