Answer:
use this formula
Step-by-step explanation:
I hope this helps ......
Answer:
x=-2
Step-by-step explanation:
Since no value is given to Eva, we'll call her x. Justin, then, is 7.50+x. That leaves Emma, who would be Justin (7.50+x) -12. If we add them all together we get 63. So our equation is
x + (7.50+x) + (7.50+x)-12 = 63
Combine like terms
x+x+x + 7.50+7.50-12 = 63
3x + 3 = 63
3x = 60
x = 20
Since we said Eva is x then Eva has 20 dollars.
Justin is 7.50 + x so 7.50+20=
$27.50
Emma is Justin - 12 so 27.50-12= $15.50
Let's check our answer...
15.50+27.50+20 = 63
63=63
It checks!
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
