im a girl ok um Three out of 200 machine parts were found to be defective.
About how many parts would be expected to be defective out of 2500 parts?
A.
15
B.
30
C.
38
D.
67
3/200 = x/2500
Cross multiply and solve for x.
To answer this question, we can use the concept of proportions to find the expected number of defective parts.
First, we need to find the proportion of defective parts in the given data. In the original set of 200 parts, 3 were found to be defective. So the proportion of defective parts is 3/200.
Next, we need to use this proportion to find the expected number of defective parts out of 2500 parts. We can set up a proportion as follows:
(Proportion of defective parts in the original set) = (Proportion of defective parts in the bigger set)
3/200 = x/2500
To solve for x, we can cross-multiply and then divide:
3 * 2500 = 200 * x
7500 = 200 * x
x = 7500/200
x = 37.5
Rounding this to the nearest whole number, the expected number of defective parts out of 2500 parts would be approximately 38.
Therefore, the correct answer is C. 38.