The volume of the composite solid is 645.97 cubic cm
<u>Step-by-step explanation:</u>
Given that,
The side of the cube = 8cm
Diameter of the hemisphere= 8cm
Radius = 4cm
Volume of cube = 8 x 8 x 8
= 512 cubic cm
Volume of hemisphere= (2/3) π (4 x 4 x 4)
= (2/3) π (64)
= (2/3) (3.14) (64)
= 133.97 cubic cm
Total volume = 512 + 133.97
= 645.97 cubic cm
The volume of the composite solid is 645.97 cubic cm
Answer:
1/x = 1/4 + 1/3
Step-by-step explanation:
In 4 hours Bethany did the whole fraction 1 of the house.
In 1 hour he would do 1/4 of it.
In 3 hours Colin did the whole fraction 1 of the house.
In 1 hour he would do 1/3 of it.
In 1 hour they would both do (1/4 + 1/3)
If it takes both of them x hours to finish 1 whole fraction of the house.
In 1 hour they will both do 1/x
That means that:
1/x = 1/4 + 1/3
That is the equation. x can be solved for.
Answer:
The probability of success is .12
The probability of failure is .88
According to the binomial theorem the probability of 3 success is
10! / (3! * 7!) * .12^3 * .88^7 = .085
Answer:
Step-by-step explanation:
2x - 2 = x
Bringing like terms on one side
2x - x = 2
x = 2
