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)
You can use proportions to solve this problem.
First, set up a proportion between the number of unsharpened colored pencils in the sample and the total number of colored pencils in the sample:
2/50 = x/300
Simplify by cross-multiplying:
2 * 300 = 50 * x
600 = 50x
Divide both sides by 50:
x = 12
Therefore, you would expect about 12 colored pencils to be unsharpened in the basket of 300 colored pencils.
To find the expected number of unsharpened colored pencils, we can set up a proportion based on the information given.
Let's say x represents the number of unsharpened colored pencils we would expect out of the 300 in the basket.
The proportion can be set up as follows:
2 unsharpened colored pencils out of 50 selected = x unsharpened colored pencils out of 300 total in the basket
2/50 = x/300
To solve for x, we can cross-multiply:
2 * 300 = 50 * x
600 = 50x
Now, divide both sides of the equation by 50:
x = 600/50
Simplifying:
x = 12
Therefore, we would expect 12 colored pencils to be unsharpened out of the 300 in the basket.