The Manufaturing Company allows the defect rate of 0.5% on its production line. The defect average for last week was 6 items out of 1,800. What is the difference between the allowed defect rate and the defect average for last week?
.5percent is 1 per 200. How many 200's are there in 1800?
sorry never mind I don't need it
To find the difference between the allowed defect rate and the defect average for last week, we first need to calculate each of these values separately.
The allowed defect rate is given as 0.5%, which means that 0.5% of the items produced are allowed to be defective.
To calculate the allowed defect rate, we can use the formula:
Allowed Defect Rate = (Allowed Defects / Total Items) * 100
Substituting the given values into the formula, we get:
Allowed Defect Rate = (0.5 / 100) * 1800 = 9
This means that the Manufacturing Company allows for a maximum of 9 defective items out of 1800 produced.
Now, let's calculate the defect average for last week. The defect average represents the actual number of defective items found during that week.
Defect Average = Total Defective Items / Total Items
Given that there were 6 defective items out of 1800 produced, we have:
Defect Average = 6 / 1800
To find the difference between the allowed defect rate and the defect average, we subtract the defect average from the allowed defect rate:
Difference = Allowed Defect Rate - Defect Average
Plugging in the values:
Difference = 9 - (6 / 1800)
Calculating the result, we get:
Difference = 9 - 0.00333 = 8.99667
Therefore, the difference between the allowed defect rate and the defect average for last week is approximately 8.99667.