Tony works in a factory that produces 1,000 computers each day. When 50 computers were sampled, it was found that 7 were defective. Estimate how many defective computers are made each day. (1 point)
140 computers
7 computers
169 computers
265 computers
Using a proportion, we can set up:
defective computers/total computers = defective computers in sample/total computers in sample
Let x be the number of defective computers made each day. Then:
x/1000 = 7/50
Solving for x, we get:
x = (7/50) * 1000
x = 140
Therefore, the estimate for the number of defective computers made each day is 140. The answer is A) 140 computers.
To estimate how many defective computers are made each day, we can use the concept of proportional reasoning.
Since we know that 50 computers were sampled and 7 of them were defective, we can set up a proportion to find the estimated number of defective computers out of 1,000.
Let's set up the proportion:
(7 defective computers) / (50 sampled computers) = (X defective computers) / (1,000 computers)
Cross-multiplying, we get:
7 * 1,000 = 50 * X
Simplifying, we get:
7,000 = 50X
To solve for X, divide both sides of the equation by 50:
X = 7,000 / 50
X = 140
Therefore, the estimated number of defective computers made each day is 140.
The correct answer is:
140 computers.