Claus borrowed $200 to buy a video game system. He paid $10 per month in interest, and it took him 3 months to repay the loan. W
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Answer:
We need a sample size of at least 1161.
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 for the interval is:
For this problem, we have that:
90% confidence level
So , z is the value of Z that has a pvalue of
, so
.
How large a sample should she take?
We need a sample size of at least n.
n is found when
So
Rounding up
We need a sample size of at least 1161.
Evaluate the expression using x = –1 and y=3.
1. Substitute the values for the variables.
we plug in -1 for x and 3 for y
2. Identify grouping symbols, beginning with the innermost symbols.
We take exponent and then we multiply
3. Determine and apply the rules of exponents to simplify
(-1)^4 = -1 * -1 * -1 * -1 = 1
(3)^3 = 3*3*3= 27
4. Evaluate.
162
The value of the expression is 162