Please help with this question
2 answers:
Answer:
a) C
b) A
c) B
Step-by-step explanation:
Please see the attached screenshot for details.
Graph A represents y = x² - 1, which is the vertical translation of the graph 1 unit down.
Graph B represents y = 2x², which is the narrowing of the parent graph, y = x².
Graph C represents y = x² - 1, which is the horizontal shifting of the parent graph, 1 unit to the left.
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Answer:
The researcher should use a sample size of at least 140 children to get a margin of error to be within 2%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
is the margin of error.
95% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
We have that:
So
The researcher should use a sample size of at least 140 children to get a margin of error to be within 2%.
The difference quotient is
Expand the numerator and you'll see cancellation of a factor of (assuming
):