What product lies between 5x7/10=

Let P = 0.50.30.50.7 be the transition matrix for a Markov chain with two states. Let x0 = 0.50.5 be the initial state vector fo

pav-90 [236]

Answer:

Probability distribution vector = $\left(\begin{array}{c}0.375\\ 0.625 \end{array} \right)$

Step-By-Step Explanation

If $P=\left(\begin{array}{cc}0.5&0.3\\ 0.5&0.7 \end{array} \right)$ is the transition matrix for a Markov chain with two states.

$x_{0}=\left(\begin{array}{c}0.5\\ 0.5 \end{array} \right)$ be the initial state vector for the population.

$X_{1}=P x_{0}=\left(\begin{array}{cc}0.5&0.3\\ 0.5&0.7 \end{array} \right) \left(\begin{array}{c}0.5\\ 0.5 \end{array} \right) =\left(\begin{array}{c}0.4\\ 0.6 \end{array} \right)$

$X_{2}=P^{2} x_{0}=\left(\begin{array}{c}0.38\\ 0.62 \end{array} \right)$

$X_{3}=P^{3} x_{0}=\left(\begin{array}{c}0.38\\ 0.62 \end{array} \right)$

$X_{30}=P^{30} x_{0}=\left(\begin{array}{c}0.37499\\ 0.625 \end{array} \right)$

In the long run, the probability distribution vector Xm approaches the probability distribution vector $\left(\begin{array}{c}0.375\\ 0.625 \end{array} \right)$ .

This is called the steady-state (or limiting,) distribution vector.

4 0

3 years ago

The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many more girls than boys are there?

lisov135 [29]

Answer:

5

Step-by-step explanation:

sum the parts of the ratio, 3 + 4 = 7 parts

Divide the number of students by 7 to find the value of one part of the ratio

35 ÷ 7 = 5 ← value of 1 part of the ratio, then

3 parts 3 × 5 = 15 ← number of boys

4 parts = 4 × 5 = 20 ← number of girls

20 - 15 = 5

There are 5 more girls than boys

4 0

2 years ago

Nadia cuts 3 pieces pf equal length from 8 yards of ribbon. How long is each piece?

Harman [31]

Its 8 divided by 3 which equals 2.6

5 0

3 years ago

In order to burn calories and lose weight, Vera is trying to incorporate more exercise into her busy schedule. She has several s

mel-nik [20]

Answer:each session of body sculpting workouts burns 51 calories.

Each session of Yoga workouts burns 83 calories.

Step-by-step explanation:

Let x represent the number of calories that she burnt doing one body sculpting workout session.

Let x represent the number of calories that she burnt doing one Yoga session.

Last week, she burned a total of 517 calories by doing 2 body sculpting workouts and 5 yoga sessions. This means that

2x + 5y = 517 - - - - - - - - - -1

This week, she has completed 2 body sculpting workouts and 1 yoga session and burned a total of 185 calories. This means that

2x + y = 185 - - - - - - - - - - - - 2

Subtracting equation 2 from equation 1, it becomes

4y = 332

y = 332/4 = 83 calories

Substituting y = 83 into equation 2, it becomes

2x + 83 = 185

2x = 185 - 83 = 102

x = 102/2 = 51 calories

8 0

3 years ago

PLEASE HELP WILL MARK AS BRAINLIEST

Sedaia [141]

104.4? I think this is it. i got this awnser hu look in got up!

5 0

3 years ago