Answer:
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²
The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Answer:
24
Step-by-step explanation:
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Answer:
k = 20
Step-by-step explanation:
t1 = a = k-4
a = k - 4
t2 = ar = k
(k-4)r = k - 4
r = k/(k-4)
t3 = ar^2 = k + 5
(k - 4)(k/k - 4)^2 = k+5
k^2/k-4 = k+5
k^2 = (k+5)(k-4)
k^2 = k^2 -4k +5k -20
0 = k -20
k =20
Answer:
For example, [latex]\text{60%}=\frac{60}{100}[/latex] and we can simplify [latex]\frac{60}{100}=\frac{3}{5}[/latex]. Since the equation [latex]\frac{60}{100}=\frac{3}{5}[/latex] shows a percent equal to an equivalent ratio, we call it a percent proportion.
Step-by-step explanation: