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faltersainse [42]

3 years ago

5

In a manufacturing process, for every 465 items assembled, 4 are defective. at this rate, if 5,115 items are assembled, how many

will be defective?

2 answers:

7nadin3 [17]3 years ago

5 0

The expected number that will be defective is:
$5115\times\frac{4}{465}=44\ items$

zepelin [54]3 years ago

3 0

Answer:

44 items would be defective.

Step-by-step explanation:

In a manufacturing process, for every 465 items assembled, 4 are defective.

The ratio of defective items = $\frac{4}{465}$

When 5,115 items are assembled, defective items would be = $\frac{4}{465}$ × 5,115

= 44 defective items

At this rate, if 5,115 items are assembled, 44 items would be defective.

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Step-by-step explanation:

<u>Step 1: Substitute for the known variables</u>

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Plugging the numbers we know into the formula, we get:

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37.68 x r²= 1,357

Now, divide by 37.68. (I know to divide because when you switch the 37.68x r² the other way around to r²x37.68, you are clearly multiplying and must do the inverse operation (opposite of multiplication; division) to solve the problem.

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This equation isn't over yet because we still have the exponent on the r. Whenever you see a letter squared (to the power 2) in an equation, the "inverse operation" is to take the square root of both sides. Look:

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