Tony, this is a proportion, not an inequality. I'm going to assume "for" is 4.
Now, if he found 4/45 that are defective, he has 41/45 that pass.
41/45 = p/270
Cross multiply.
45p = 41(270)
45p = 11070
p = 246
246/275 toasters should pass inspection.
David W.
tutor
Tony, I cannot begin to tell you how many typos and/or flat out errors I have found on worksheets. This problem really has no answer that directly involves inequalities, as the real solution is an approximation.
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12/06/17
David W.
It is quite a "leap of faith," but there are lots and lots of examples of statistics using this principle:
The sample (here it is 45) has the same characteristics as the total population (here it is 270); that is, they have the same percentage of items that pass and fail
.Now, there are statistical tests to compare a sample to the total population to determine a likelihood (as a probability) that the sample is from the population.
This problem deals with ratios, not inequalities.
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12/06/17
Tony H.
12/06/17