Answer:
Step-by-step explanation:
Given
there are six integers to win a lottery
case-1 Integer not exceeding 40
no of ways to choose 6 incorrect numbers


Case-2 no of ways to choose 6 incorrect numbers out of 48 integers


Case-3 no of ways to choose 6 incorrect numbers out of 56 integers


Cae-4 no of ways to choose 6 incorrect numbers out of 64 integers


Answer:
The mixed number 5 1/4 is equal to the improper fraction 21/4.
Answer:
the volume of the sphere is

Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere and cube.
Given data
Volume of cube v = 64 cubic inches
since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,
we know that volume of cube is expressed as



![l= \sqrt[3]{64}](https://tex.z-dn.net/?f=l%3D%20%5Csqrt%5B3%5D%7B64%7D)

also diameter d=length l
Diameter d=
Radius r =
=
= 
Height h=
we know that the volume of a sphere is given by

substituting into the formula we have

Answer:
104 yd^2.
Step-by-step explanation:
Area of the 2 circles = 2 * π r^2
= 2 * π * 4^2
= 32 π yd^2.
Area of the side of the cylinder = 2 π r h
= 2 π * 4 * 9
= 72 π yd^2.
Total surface area = 32 + 72
= 104 yd^2.
Answer:
1. not a function
2. all states
3. all capital
4. Every domain element is paired with only one range element.
Step-by-step explanation: