Answer:
170
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is of:

Assume:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
What is the smallest sample size required to obtain the desired margin of error?
This is n for which M = 0.03. So






Rounding up, 170.
Hi there! We can find the value of x by using this equation.

If you remember, tanx = opposite/adjacent. We focus on the angle x currently.
Now that you might wanna ask if there is a value of x that makes 19/23. The answer is yes but in decimal.

You might wanna put arctan(19/23) in a calculator since it's not really possible to get the square root like value by yourself.
arctan(19/23) is 0.69
Then we round up and get 0.7
Hence, the value of x ≈ 0.7
Answer
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Answer:
550 mins
Step-by-step explanation: