Question
very 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
20
20
12
12
2
2
Responses
120
120
20
20
12
12
2
2
Answers
GPT-4o mini
To solve this problem, we can use the proportion of unsharpened pencils in the sample to estimate the expected number of unsharpened pencils in the total basket.
In the sample of 50 colored pencils, 2 are unsharpened. So, the proportion of unsharpened pencils in the sample is:
\[
\frac{2}{50} = 0.04
\]
If we apply this proportion to the total of 300 colored pencils in the basket, we can estimate the expected number of unsharpened pencils:
\[
0.04 \times 300 = 12
\]
Therefore, the expected number of unsharpened pencils in the basket is **12**.
So the correct response is:
**12**
In the sample of 50 colored pencils, 2 are unsharpened. So, the proportion of unsharpened pencils in the sample is:
\[
\frac{2}{50} = 0.04
\]
If we apply this proportion to the total of 300 colored pencils in the basket, we can estimate the expected number of unsharpened pencils:
\[
0.04 \times 300 = 12
\]
Therefore, the expected number of unsharpened pencils in the basket is **12**.
So the correct response is:
**12**