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In a sample of 7500 new iphones, 18 were found to be defective. at this rate, how many defective iphones would be expected in a sample of 60000 new iphones? use a proportion to set up and solve this problem. write a complete answer including units

Answer :

In 7500 iPhones, 18 were found defective.
18 of 7500 is 0.24%
0.24% of iPhones were defective.

Using the information above:
In a sample of 60000 new iPhones, 144 would be found defective.
144 of 60000 is 0.24%

Answer: 144 defective iPhones would be expected in a sample of 60,000.

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Rewritten by : Barada

By proportionally scaling up, if 18 out of 7,500 iPhones are defective, you would expect 144 out of 60,000 iPhones to be defective.

In the provided sample, 18 out of 7,500 were defective. This can be represented as 18 / 7,500 = x / 60,000. To solve for x (the number of expected defective iPhones in a sample of 60,000), you multiply both sides of the equation by 60,000.

(18 / 7,500) * 60,000 = x which simplifies to 144 = x. Therefore, you would expect 144 defective iPhones out of a sample of 60,000, assuming the rate of defects remains consistent.

It is important to round the answer to the next higher value if dealing with a whole unit that cannot be fractional, such as a defective phone.