In spherical coordinates, we set



so that the volume element under this transformation becomes

The region
is given by the set

so that the integral is



Answer and Step-by-step explanation:
According to the situation, The probabilities for each one is given below:
As there are 20 families
So the probabilities for each one is
For four families have one child is

For eight families have two children is

For five families have three children is

For two families have four children is

For one family have five children is

Answer:
The correct option is 2.
Step-by-step explanation:
According to the the center-of-gravity technique, the coordinates of the center-of-gravity location are

Where (
represent the coordinates and
is demand.
We have to find the Y-coordinate of the center-of-gravity location.
The sum of product of demand and corresponding y coordinates is

The sum of demanded units is

The Y-coordinate of the center-of-gravity location is




The Y-coordinate of the center-of-gravity location is 131. Therefore the correct option is 2.
We have to make an equation: a number increased by 10 is 114.
An equation is:
x + 10 = 114
x = 114 - 10
x = 104.