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)

Question

Responses

120
120

20
20

12
12

2
2

Answer 1

To find the expected number of unsharpened colored pencils, we can use the proportion:

(2 unsharpened colored pencils) / (50 total selected colored pencils) = (x unsharpened colored pencils) / (300 total colored pencils)

Cross-multiplying and solving for x, we get:

x = (2 unsharpened colored pencils) * (300 total colored pencils) / (50 total selected colored pencils)
x = 12 unsharpened colored pencils

So, we can expect 12 colored pencils to be unsharpened. The correct answer is 12.