The Manufaturing Company allows the defect rate of 0.6% on its production line. The defect average for last week was 4 items out of 4,400. What is the difference between the allowed defect rate and the defect average for last week? Please I really don't get this stuff.
To find the number of products allowed with defects:
Multiply: 0.006 * 4,400 = 26.4
What's the difference between the allowable and the actual rate?
To find the difference between the allowed defect rate and the defect average for last week, we need to calculate each value separately.
1. Allowed defect rate: The manufacturing company allows a defect rate of 0.6%. This means that out of every 100 items produced, 0.6 items are allowed to be defective. Convert this percentage to a decimal by dividing it by 100: 0.6/100 = 0.006.
2. Defect average for last week: The defect average for last week was 4 items out of 4,400. To calculate the defect rate, you need to divide the number of defective items by the total number of items produced and multiply by 100: (4 / 4,400) * 100 = 0.09.
Now we can find the difference between the allowed defect rate and the defect average for last week:
Difference = Allowed defect rate - Defect average for last week
Difference = 0.006 - 0.09
Difference = -0.084
So, the difference between the allowed defect rate and the defect average for last week is -0.084. This means that the defect average for last week was 0.084 higher than the allowed defect rate.