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
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.