Vol. of a sphere is V = (4/3)*pi*r^3, so in this case,
4*pi*19683
V = (4/3)*pi*(27 inches)^3 = ------------------ cubic inches
3
... which can be reduced to 26244 pi cubic inches, or 15.2 cubic feet
Answer:
Mailing preparation takes 38.29 min max time to prepare the mails.
Step-by-step explanation:
Given:
Mean:35 min
standard deviation:2 min
and 95% confidence interval.
To Find:
In normal distribution mailing preparation time taken less than.
i.eP(t<x)=?
Solution:
Here t -time and x -required time
mean time 35 min
5 % will not have true mean value . with 95 % confidence.
Question is asked as ,preparation takes less than time means what is max time that preparation will take to prepare mails.
No mail take more time than that time .
by Z-score or by confidence interval is
Z=(X-mean)/standard deviation.
Z=1.96 at 95 % confidence interval.
1.96=(X-35)/2
3.92=(x-35)
X=38.29 min
or
Confidence interval =35±Z*standard deviation
=35±1.96*2
=35±3.92
=38.29 or 31.71 min
But we require the max time i.e 38.29 min
And by observation we can also conclude the max time from options as 38.29 min.
Answer:
angle B is 38°
Step-by-step explanation:
all angles in a triangle has to equal 180°.
So first find the measurement of angle BAD. This is done by subtracting angle of CAD=46° from the total angle CAB=78° to get 32° for angle BAD. So if angle ADB is 110° and angle BAD is 32° which equals (110+32=) 142.
Then take 180 - 142 = 38°
Answer:
bad da doom
Step-by-step explanation:
bad da doom
Answer:
The vertex is at (1, -108).
Step-by-step explanation:
We have the function:
And we want to find its vertex point.
Note that this is in factored form. Hence, our roots/zeros are <em>x</em> = 7 and <em>x</em> = -5.
Since a parabola is symmetric along its vertex, the <em>x-</em>coordinate of the vertex is halfway between the two zeros. Hence:
To find the <em>y-</em>coordinate, substitute this back into the function. Hence:
Therefore, our vertex is at (1, -108).
