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.
To easily find the slope and y intercept of the line, put it in slope intercept form by rearranging the variables around.
6x-7y = 2
6x - 7y + 7y = 2 + 7y
6x = 7y + 2
6x - 2 = 7y + 2 - 2
7y = 6x - 2
7y/7 = 6x/7 - 2/7
Y = 6/7(X) - 2/7
Y = 6/7x - 2/7
Slope = m = 6/7
Y intercept = b = -2/7
(0, -2/7).
Well if finding the area of a shape would be multiplying the 2 sides due to the given information that both shaded sides equal to 50, that means 50x50 which is 2500
Answer:
15 races
Step-by-step explanation:
The team has competed in 45 and has won 30. So the success rate is:
Success rate is:
We have to find the number of races the team needs to win for 75% success rate
Which means that
We have to solve the equation for x
The team needs to win 15 races to get 75% success rate ..
