Answer
Option (A) is correct .
Reason
The formula for the slope.
As given
Line AB contains (0, 4) and (1, 6) .
put in the slope formula
Slope of the AB is 2.
As given
Line CD contains points (2, 10) and (−1, 4).
put in the slope formula
Slope = 2
Slope of the CD is 2.
As the slope of the AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4) is 2 .
Therefore the option (A) is correct i.e the lines are parallel because the slopes are the same.
Answer:
A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25
Step-by-step explanation:
Let's find volume of the cylinder and volume of the three spheres.
Volume of cylinder =
Volume of sphere =
Now, r =2.7
h=8.1
Find volume of each shape.
Volume of cylinder =
=59.049
Now, volume of 3 spheres =
=78.732
Now, p(E)=
So, Probability of point is chosen at random inside the cylinder which belongs outside of the spheres is
Let's simplify them
0.25
A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25