Answer:
-30
Step-by-step explanation:
because it is
Since this is a 3D object, the center of the sphere has 3 coordinates: x=2, y = -6 and z = 4.
The equation would be:
(x-2)^2 + (y+6)^2 + (z-4)^2 = 5^2 (answer).
To find the equation of the intersection of this sphere with the xy plane, let z = 0. Then (x-2)^2 + (y+6)^2 + (0-4)^2 = 25
This simplifies to (x-2)^2 + (y+6)^2 = 5^2 (or 25).
Find and describe the sphere's intersections with the other 2 coord. planes.
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.
9514 1404 393
Answer:
B. (1/2)(4)(11)
Step-by-step explanation:
The length of the base is the sum of the lengths that make it up:
3 + 8 = 11 . . . . feet
The height is 4 ft, so the area is ...
A = 1/2bh
A = 1/2(11)(4) . . . . . equivalent to choice B
<span>So ball A (100 feet) will hit the ground after 2.49 seconds and ball B (75 feet) after 3.15 seconds</span>