The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
<h3>How to determine the probability?</h3>
The given parameters are:
- Sample size, n = 100
- Population proportion, p = 82%
Start by calculating the mean:



Calculate the standard deviation:



Within ± 0.02 of the population proportion are:


Calculate the z-scores at these points using:

So, we have:


The probability is then represented as:
P(x ± 0.02) = P(-0.43 < z < 0.43)
Using the z table of probabilities, we have:
P(x ± 0.02) = 0.3328
Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
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Imagine negatives as a form of debt, you start out owing someone 3 dollars, (-3); and then you borrow 5 more from them, (-5), add up the total amount of money you owe, which equals (-8). Using a number line, place a dot over where negative 5 is located, before moving back 3 steps to where negative 8 is located. This will give you your problem and answer, (-5)+(-3)=(-8)
I got 123.43710235035996358074533683328 because i think your describing a circle.
Answer:
9x+7y=46, 7x+8y=24
Step-by-step explanation: