Answer:
The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2
Step-by-step explanation:
First we need to find diameter of the sphere. The distance point A and point B is:
d/2=r=2.92
radius of the sphere is 2.92 units
and the center of the sphere is:
C=((4+1)/2,(3+3)/2,(7+2)/2)
C=(2.5,3,4.5)
We can write the equation of the sphere as:
Answer: Last Option
Step-by-step explanation:
In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).
To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.
The horizontal length between 4.71 and 7.4 is:
.
Then notice that the vertical length in this interval is 0.125.
Then the area of a rectangle is:
Where l is the length and w is the width.
In this case we have to:
So