Step-by-step explanation:
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Answer:
14.45
Step-by-step explanation:
x^2+(7.1)^2=(16.1)^2
×^2+50.41=259.21
x^2=208.8
sqrt(x^2)=sqrt(208.8)
x=14.45
check.
14.45^2 + 7.1^2 = 16.1^2
Answer:
A sample of 1077 is required.
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:

42% of freshmen do not visit their counselors regularly.
This means that 
98% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.035. So






Rounding up:
A sample of 1077 is required.
The axis of symmetry of a parabola in the form

is a vertical line

where k is the x coordinate of the vertex of the parabola.
The x coordinate of the vertex of the parabola is given by

which in your case is

So, the axis of symmetry is the line x=12.