Answer:
The steady state proportion for the U (uninvolved) fraction is 0.4.
Step-by-step explanation:
This can be modeled as a Markov chain, with two states:
U: uninvolved
M: matched
The transitions probability matrix is:
The steady state is that satisfies this product of matrixs:
![[\pi] \cdot [P]=[\pi]](https://tex.z-dn.net/?f=%5B%5Cpi%5D%20%5Ccdot%20%5BP%5D%3D%5B%5Cpi%5D)
being π the matrix of steady-state proportions and P the transition matrix.
If we multiply, we have:
Now we have to solve this equations
We choose one of the equations and solve:
Then, the steady state proportion for the U (uninvolved) fraction is 0.4.
Answer:
First equation is -425
Second equation is 11.25
Step-by-step explanation:
First equation we can write as
computing
When i=0 -> 
When i=1 -> 
...
When i=7 -> 
then replacing each term we have
For the second equation we'll have 9 terms, solving in a similar fashion
When i=1 -> 
When i=2 -> 
When i=3 -> 
...
When i=9 -> 
So we have 0.25 + 0.50 + 0.75 + 1.00 + 1.25 + 1.50+ 1.75 +2.00 +2.25
(8 p / h) * <u>"x"</u> h = p (in dollars).
_________________________________
in which: "h" = hours ;
"p" = pay (in units of dollars);
"x" = number of hours.
_________________________________
In the equation, on the left hand side, the unit symbol "h" would "cancel out" to "1" ;
and we would have:
_________________________________
8 p * x = _<u>[total "p"]</u>__
<span>94.25 centimeters is your answer. Hope this helps!</span>
The y-value increases by 4 when the x-value increases by 2, so the slope is
... 4/2 = 2
Your equation for the line with slope m through point (h, k) is
... y - k = m(x - h)
and you have m = 2, (h, k) = (-6, 6)
Filling in those values gives
... y - 6 = 2(x - (-6))
