Answer:
-0.28125
Step-by-step explanation:
Answer:
The confidence interval at a 90% confidence level is ($43.79, $48.21).
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 46 - 2.21 = 43.79
The upper end of the interval is the mean added to M. So it is 46 + 2.21 = 48.21.
The confidence interval at a 90% confidence level is ($43.79, $48.21).
Answer:
h = 54 feet
Step-by-step explanation:
The equation for the volume of a cone is V = × π × r² × h.
You have the volume, which is 8,138.88, and the radius of the base, which is 12.
V = 8,138.88
h = 12
π = 3.14
When you plug everything you know into the equation, you get:
V = × 3.14 × r² × h.
8,138.88 = × 3.14 × (12)² × h
After you multiply everything on the right side, you come out with:
8,138.88 = 150.72 × h
To find h, you can divide each side by 150.72.
8,138.88 ÷ 150.72 = 54 feet!
It’s 2 because 2/2 give you 1 and 1+5 gives you 6