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:
49
Step-by-step explanation:
64- 15 = 49
Hope that this helps you and have a great day
So Boris has to pay:
10% * 8190 = 819
50% * 662 = 331
50% * 188 = 94
so in total he pays: 819 + 331 + 94 = 1244
deducted each week is (52 weeks in a year):
1244/52 = 23.92
so each week $23.92 are deducted from his paycheck
Answer:
8 inches
Step-by-step explanation:
Given: Dimension of rectangular container= 
Water is filled up to a level 2 inches from the top.
As given that container is sitting on its largest face, then it is standing on 
Which means the height of container is 6 inches and it ie filled with water up to 2 inches from the top.
∴ Height of water inside the container= 
Now, finding the volume of water inside.
we know, Volume= 
Volume= 
Next, if container is placed in its smallest face then it is standing on 
and lets assume height to be "x"
Forming an equation now to express the volume conservation law.
⇒ 
⇒
dividing both side by 60
⇒
∴ x= 8 inches
Hence, 8 inches from the bottom will the water level reach if the container is placed on its smallest face
Answer:
.9375 days
Step-by-step explanation:
1.25 / 4 = 0.3125
0.3125 x 3 - 0.9375
