Answer:
where is the functions
Step-by-step explanation:
Answer:
n = 11
Step-by-step explanation:
n+ 1 = 4(n-8)
<=> n + 1 = 4n - 4×8
<=> 4n - n = 1 + 4×8
<=> 3n = 33
<=> n = 11
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:
x > -18
Step-by-step explanation:
10 ( x - 9 ) > -270
Treat the inequality like an equation,
Distribute first:
10 ( x - 9 ) > - 270
10x - 90 > -270
Inverse operations:
10x - 90 > -270
+90 +90
10x > -180
/10 /10
x > -18