A machine in a factory has an error rate of 3 parts per 100. The machine normally runs 24 hours a day and produces 40 parts per hour. Yesterday the machine was shut down for 5 hours for maintenance.

How many error-free parts did it produce yesterday?

Question

01-10-2021
Mathematics

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A machine in a factory has an error rate of 3 parts per 100. The machine normally runs 24 hours a day and produces 40 parts per hour. Yesterday the machine was shut down for 5 hours for maintenance.

How many error-free parts did it produce yesterday?

Sagot :

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Parrain Parrain · Answer 1 · 2021-10-13T05:14:12-04:00

Yesterday, the machine was able to produce 737 parts that had no error.

First find the number of hours the machine was operational the previous day:

= 24 hours - 5 hours for maintenance

= 19 hours operational

In that time, the machine would have produced:

= Number of hours operational x Parts produced per hour

= 19 x 40

= 760 parts

The machine has an error rate of 3 parts out of 100 which means that it produces 97 parts out of 100, error free. The number of parts it most likely produced error-free is:

= Number of parts produced x Proportion produced error-free

= 760 x 97/100

= 737.2

= 737 parts

We can conclude that the machine produced 737 error-free parts.

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