Question

The failure rate of gears from a factory is 0.15%. Out of 6000 gears produced on Tuesday, how many are expected to function properly?

A. 3000 gears
B. 5100 gears
C. 5910 gears
D. 5991 gears

Answer 1

To calculate the expected number of functioning gears, multiply 6000 gears by the failure rate of 0.15% to find the expected failures (9 gears), then subtract this from the total to get 5991 functioning gears.

Step-by-step explanation:

The question requires us to determine the number of gears expected to function properly out of 6000, given a failure rate of 0.15%. To calculate the expected number of functioning gears, multiply 6000 gears by the failure rate of 0.15% to find the expected failures (9 gears), then subtract this from the total to get 5991 functioning gears.

To find this, we first calculate the number of gears expected to fail and then subtract that number from the total production.

Firstly, we find the expected number of failed gears by multiplying the total number of gears by the failure rate:

• 6000 gears × 0.15% = 9 failed gears

Next, we subtract the expected number of failed gears from the total:

• 6000 gears - 9 gears = 5991 functioning gears

Therefore, out of 6000 gears produced, 5991 gears are expected to function properly.