Please find attached photograph for your answer
Youyou havehave aa seriousserious doubledouble pastepaste problemproblem
the equation of the line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
the point is (5,-3) and the slope is 23 (or it could be 2/3)
x1=5
y1=-3
y-(-3)=23(x-5)
y+3=23(x-5) is answer
Answer:
Xena earns $144 per a week.
Step-by-step explanation:
Harry earns - $ h
Xena earns - $ x
George earns -$ g
Harry earns $45 a week more than Xena. h= x+45
George earns $18 a week less than Xena. g = x - 18
If Harry earns the same amount in two weeks that George earns in three weeks
2h = 3g
So, we have the system of 3 equations:
h= x+45
g = x - 18
2h = 3g (*)
Substitute values of h and g into equation (*)
2(x+45) = 3(x-18)
2x + 90 = 3x - 54
90+54 = 3x- 2x
x= 144
Answer:
a) 
b) 
And replacing we got:
![P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%203%29%20%3D%201-%20%5B0.2%2B0.3%2B0.1%5D%3D%200.4)
c) 
d) 
e) 
f) 
And replacing we got:

And the variance would be:
![Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4](https://tex.z-dn.net/?f=%20Var%28X0%20%3DE%28X%5E2%29-%20%5BE%28X%29%5D%5E2%20%3D%206.4%20-%282%5E2%29%3D%202.4)
And the deviation:

Step-by-step explanation:
We have the following distribution
x 0 1 2 3 4
P(x) 0.2 0.3 0.1 0.1 0.3
Part a
For this case:

Part b
We want this probability:

And replacing we got:
![P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%203%29%20%3D%201-%20%5B0.2%2B0.3%2B0.1%5D%3D%200.4)
Part c
For this case we want this probability:

Part d

Part e
We can find the mean with this formula:

And replacing we got:

Part f
We can find the second moment with this formula

And replacing we got:

And the variance would be:
![Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4](https://tex.z-dn.net/?f=%20Var%28X0%20%3DE%28X%5E2%29-%20%5BE%28X%29%5D%5E2%20%3D%206.4%20-%282%5E2%29%3D%202.4)
And the deviation:
