Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
In which:
- is the sample mean.
- is the standard deviation for the population.
The margin of error is given by:
In this problem, we have that the parameters are given as follows:
.
Hence, solving for n, we find the sample size.
Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.
More can be learned about the z-distribution at brainly.com/question/25890103
Step-by-step explanation:
these are 2 similar triangles.
that means they have the same angles. and all sides have the same scaling factor between the 2 triangles.
so,
10/28 = 5/h
Using the
solver function of the calculator, we can find the roots of the polynomial.
x1
= 9.72484
x2 = −5.36242+8.74882i
x3 = −5.36242−8.74882i
<span>
Since
dimension cannot be imaginary, therefore the height of the cylindrical hole is
9.72 mm.
Calculating
for radius r:
r
= 9.72 mm – 8 mm
r
= 1.72 mm
The
volume of cylinder is given as:
V
= π r^2 h
V
= π (1.72)^2 (9.72)
<span>V
= 90.34 mm^3</span></span>
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