Step-by-step explanation:
l = 3x - 5
w = 2x + 9
perimeter = 2l + 2w = 2(3x - 5) + 2(2x + 9) =
= 6x - 10 + 4x + 18 = 10x + 8
area = l×w = (3x - 5)(2x + 9) = 6x² + 27x - 10x - 45 =
= 6x² + 17x - 45
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.