Answer:
95,040 different cast are possible
Step-by-step explanation:
In this case the order in which the actors are selected for the 5 different roles is important. Therefore we use the permutations formula.
Where n is the number of items you can choose and choose r from them.
In this case 
and 
Answer:
14
Step-by-step explanation:
First, we have to get the breadth value.
By the pythagoras theoreom,
Diagonal²=length² + breadth²
breadth = √( Diagonal²- length²)
breadth = √( 5² - 4²)
breadth = √9
breadth= 3
Perimeter of a rectangle = 2x ( length + breadth)
= 2 x ( 4 + 3)
= 2 x 7
= 14
Answer:
278.9 units^3 to the nearest tenth.
Step-by-step explanation:
This is a cylinder on the bottom . resting on the cylinder is a prism.
Volume of the cylinder = π r^2 h where r = 1/2 * 7 = 3.5 and h = 6.
V = π * 3.5^2 * 6 = 230.907 units^3.
Volume of the prism = l*w*h
= 4*4*3 = 48 units^3.
Volume of the composite figure = 230.907 + 48
= 278.9.
Answer:
how many numbers are there and if there is more of the same number then that will be ur probability
Step-by-step explanation:
Given:
The equation is:
To find:
The next step in simplifying the equation by using distributive property.
Solution:
Distributive property: According to this property if a, b and c are three real numbers, then
We have,
Using the distributive property, we get
It can be written as:
Therefore, the next step of the simplification is .
