Answer:
4
Step-by-step explanation:
Greatest common factor of 12 and 20 is 4.
Answer:
11 years old
Step-by-step explanation:
If four brothers have the average age 6, then the sum of their ages is

years.
Let x years be the age of sister. If four brothers and their sister have the average age 7, then

Multiply this equation by 5:

The sister is 11 years old.
Answer:
b
Step-by-step explanation:
Let’s lets take a step back.
What is domain?
Domain is the x values in a graph.
So with the points listed -> (0,2) (3,1) (-2,0) (2,-1)
The domain are 0, 3, -2, 2.
So the anser is b.
Answer:
The answer is 3/6 or 1/2 (if you need it simplified)
Step-by-step explanation:
You know you have 1/3 of a pizza so you just make it a smaller fraction by adding 1/3 and 2/3, making it 3/6 so he ate 1/2 of 1/3 of the pizza
Answer:
a) The value of A = 2
b) The value of 
Step-by-step explanation:
a)
Given that:
X should be the random variable that assumes only positive integer values.
The probability function;
for some constant A and n ≥ 1.
Then, let ![\sum \limits ^{\infty}_{n =1} P[X =n] = 1](https://tex.z-dn.net/?f=%5Csum%20%5Climits%20%5E%7B%5Cinfty%7D_%7Bn%20%3D1%7D%20P%5BX%20%3Dn%5D%20%3D%201)
This implies that:




A = 2
Thus, the value of A = 2
b)
Suppose X represents a e constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3
Then, the density function of x is:

where; B is constant.
Then, using the property of the probability density function:

Taking the integral, we have:
![B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1](https://tex.z-dn.net/?f=B%20%5CBig%20%5B%5Cdfrac%7Bx%5E3%7D%7B3%7D%20%2Bx%20%5CBig%20%5D%5E3_0%20%3D%201)
![B \Big [\dfrac{3^3}{3} +3 \Big ]= 1](https://tex.z-dn.net/?f=B%20%5CBig%20%5B%5Cdfrac%7B3%5E3%7D%7B3%7D%20%2B3%20%5CBig%20%5D%3D%201)
![B \Big [\dfrac{27}{3} +3 \Big ] = 1](https://tex.z-dn.net/?f=B%20%5CBig%20%5B%5Cdfrac%7B27%7D%7B3%7D%20%2B3%20%5CBig%20%5D%20%3D%201)
B [ 9 +3 ] = 1
B [ 12 ] = 1
Divide both sides by 12
