For the transition matrix P = [0.8 2 0.2 2, 0.3 0.7]​, solve the equation SP = S to find the stationary matrix S and the limiting matrix Upper P overbar.

Answers

Answer 1

Answer:

Stationary matrix S = [ 0.6   0.4 ]

limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

Step-by-step explanation:

Transition matrix

[tex]p = \left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex]

solving the equation SP = S ( using Markova chain with 2 states )

stationary matrix,  S = [ a , 1 - a ]

given that  SP  = S

[ a , 1 - a ] * [tex]\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex] =  [ a , 1 - a ]

= a*(0.8) + ( 1 - a ) ( 0.3 ) = a

∴ a = 0.6

hence;  stationary matrix S = [ 0.6   0.4 ]

             limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]


Related Questions

Which of the following represents the graph of the equation y = 1/2x?

Answers

Answer:

(B)

Step-by-step explanation:

Here's what we know about the equation:

- it's a positive equation

- the y-intercept is (0,0)

- the slope is 1/2

Because the equation is positive, this means the graph will increase up from left to right, so you can cross out answer choice A & D.

To find out if B or C has the right slope, you can either plug in points or use the rise/run method.

I'm going to use both methods to figure out which answer choice is correct:

Plug in points method:

Let's plug in the value 2 in to the equation y = 1/2x.

1/2 * 2 = 1

So at (1,2) the function should include that point.

Only B has (1,2), so that's your answer.

Rise/run method:

Rise/run is a method used to figure out the slope of a function or draw a function on a graph.

Rise corresponds to the numerator. In this case, 1.

Run corresponds to the denominator. In this case, 2.

We are going to start at (0,0) and go up 1 (rising 1 unit) and go 2 to the right (running 2 units). After this, we should arrive at a point on the graph.

Only answer choice B does this.

**Reminder: be careful, the each blue line on the graph ISN'T a whole number interval; it uses 1/2 intervals.

Hope that helps (●'◡'●)

Does anyone know this?

Answers

Answer:

functions are expressions that involve 2 variables, a dependent and an independant variable

example: x=3 isn't a function, but 2y=6-x is

En un grado pienzan diseñar targetas de cuidadores del ambiente para repartir en los comercios. cada una tendra una frase para concientizar, el nombre de la escuela y el grado. las targetas seran un cuadrado con 10 cm de lado. aqui tienes un papel de 30 cm de ancho x 30 cm de largo y un cuadrado de 10 cm x 10 cm. ¿Cuantos cuadrados crees que entran en la hoja? ¿cuantas tarjetas puedes hacer con la hoja?

Answers

Answer:

Entran 9 cuadrados en la hoja

Se puden hacer 10 tarejtas por que hay un cuadradro de 10*10 extra.

Step-by-step explanation:

El area de la hoja sera:

[tex]A_{Hoja}=30*30=900 \:cm^{2}[/tex]

Ahora el area de cada tarjeta es:

[tex]A_{tarjeta}=10*10=100\: cm^{2}[/tex]

Para determinar cuantos tarjetas entran en la hoja debemos vidivir las aras encontradas arriba:

[tex]\frac{A_{Hoja}}{A_{tarjeta}}=\frac{900}{100}=9[/tex]

Entonces entran 9 cuadrados en la hoja

Se puden hacer 10 tarejtas por que hay un cuadradro de 10*10 extra.

Espero te haya sido de ayuda!

an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?

Answers

Given:

Diameter of the hole = 30 cm

To find:

The area of the hole.

Solution:

The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:

[tex]r=\dfrac{30}{2}[/tex]

[tex]r=15[/tex]

Area of a circle is:

[tex]A=\pi r^2[/tex]

Putting [tex]\pi = 3.14[/tex] and [tex]r=15[/tex] in the above formula, we get

[tex]A=(3.14)(15)^2[/tex]

[tex]A=(3.14)(225)[/tex]

[tex]A=706.5[/tex]

Therefore, the area of the hold is 706.5 square cm.

Find BD , given that line AB is the angle bisector of

Answers

Answer:

BD = 10

Step-by-step explanation:

THEY ARE EQUAL

BECAUSE LINE AB IS THE ANGLE BISECTOR

The equation of line u is y = 9/2x+1. Line v is perpendicular to u. What is the slope of line v

Answers

Answer:

Step-by-step explanation:

The slope of line u is 9/2; the line perpendicular to that is the opposite reciprocal...opposite sign and the flip of the fraction. The perpendicular slope is -2/9

How many crores are there in 20 million?​

Answers

Answer:

2

Step-by-step explanation:

please answer the question below! first to answer correctly, I will mark as brainliest.

Answers

The probability of not winning would be :

1 - probability of winning

This is written as:

1 - n/n+3

Now to simplify as a single fraction rewrite as:

N+3/n+3 - n/n+3

Simplify to get : 3/n+3

Please Help Me!!!!!!!

Answers

Answer: b

Step-by-step explanation: death normally last 9 min and birth 9 sec

Can anyone help me with this ?

Answers

Answer:

The correct answer, pertaining to the proposed interrogate, is acknowledged as x = 3.

Step-by-step explanation:

To evaluate for such, a comprehension of linear data must be obtained:

Slope = rise/run, defined as the agglomerate distance between two differentiated points.

X-intercept: The peculiar point in which linear data is observed to intersect the x-axis.

Y-intercept: The peculiar point in which linear data is observed to intersect the y-axis.

If there is a vertical line intersecting the x-axis, the particular point (x, y) is identified as what x is equated to.

Likewise, if there is a horizontal line intersecting the y-axis, the particular point (x, y) is identified as what y is equated to.

Thus, the following must be applied to the interrogate:

- Vertical line, thus determine the point in which the data intersects the x-axis.

- Such is identified as (3,0).

Thus, since that is the only linear figure intersecting at such peculiar axis, 3 is the equated value of x.

Hence, x = 3.

*I hope this helps.

SOMEONE HELP ME PLEASE

Answers

Answer:

5/6

Step-by-step explanation:

The outcome of a die is 1,2,3,4,5,6

Even = 2,4,6

Less than 4 = 1,2,3

Good outcomes = 1,2,3,4,6  = 5 valid outcomes

P( even or less than 4) = valid outcomes / total

                                      =5/6

Answer:

1/4

Step-by-step explanation:

total outcome=6

p(even)=3/6=1/2

p(less than 4)=3/6=1/2

p(even or less than 4)=1/2×1/2=1/4

half past 9:00p.m. what is half past of 9:00p.m.​

Answers

Answer:

The answer is 9:30 pm :D.

Using a deck of 52 playing cards, what are the odds in favor of drawing a Jack or 10?​

Answers

odds against drawing a Jack are 48:4
odds in favor of drawing a Jack are: 4:48

Apakah dua atom tersebut?
- atom p mempunyai 9 proton Dan 10 neutron
- atom q mempunyai 13 proton Dan 14 neutron
- atom r mempunyai 12 proton dan 14 neutron
- atom s mempunyai 9 proton Dan 11 neutron

Answers

Answer:

I think the Ans is second one

PLEASE HELP!!!


The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is measured in meters.



Find the velocity of the particle for t = 7 seconds.


A) 152 m/s


B) 47 m/s


C) 733 m/s


D) 299 m/s

Answers

Answer:

The derivative of the position function gives the velocity function

 

2 t^3 + 5 t -2    derivative   =   6 t^2 + 5

please help me out really need help

Answers

Answer:

B

add the two together.... 5x^3 is the only cube A or B  only x is 6x and only B  has that

Step-by-step explanation:

Answer:

your answer is B

[tex]f(x)=2x^{2} +6x-4[/tex]

[tex]g(x)=5x^{3} -6x^{2} -3[/tex]

[tex](f+g)x=2x^{2} +6x-4+5x^{3} -6x^{2} -3[/tex]

[tex]=5x^{3} -4x^{2} +6x-7[/tex]

OAmalOHopeO

what is 11/12 divide 1/3
no simplify
please help i need to pass summer school

Answers

Answer:

2.75

Step-by-step explanation:

(11/12) / (1/3) = 2.75

Answer:

the answer is: 11/4

c) A building owner fixed the cost of his building as Rs 15,84,000 and the price
above the fixed cost goes to an agent as his commission. If the agent sold it for
Rs 16,71,120, find his commission percent.
Plz solve it .​

Answers

Answer:

5.5%

Step-by-step explanation:

Firstly, we find the difference between the fixed cost and the price above the fixed cost

We have this as;

1, 671,120 - 1,584,000 = 87,120

now, we have to divide this value by the fixed cost and express as a percentage

we have this as;

87,120/1,584,000 * 100% = 5.5%

Calculate the answer to the correct number of significant figures: 41.70 + 0.506 + 0.00223 = ______.


42.20823


42.2082


42.208


42.2


42.21

Answers

The answer to the correct number of significant figures is 42.21

Addition of decimal numbers

When adding decimal numbers, the number of significance of the resulting value will be to the least decimal numbers in the given expression.

Given the sum of decimal shown

41.70 + 0.506 + 0.00223

Using the calculator to take the sum

41.70 + 0.506 + 0.00223 = 42.20823

Since the significance value in the expression is 4, hence we will round the result to 4sf to have 42.21

Learn more on addition of decimal here: https://brainly.com/question/19127052

#SPJ1

PLEASE HELP! ! ! urgent!

Answers

Answer:

[tex]6(\frac{1}{3} \times\frac{7}{5} )=(6\times\frac{1}{3} )\frac{7}{5}[/tex]

[tex]Answer: B[/tex]

-------------------------

Hope it helps...

Have a great day!!

Find the equation of the line through the points (-5,11) and (2,-3)
y=

Answers

Answer:

Y= -1/2X- 2

Step-by-step explanation:

-3 - 11 = -14

2-(-5) = 7

7/-14 = -1/2

-3 = 2(-1/2) + b

-3 = -1 + b

-2 = b

Y= -1/2X-2

AYUDAAA!!
Compara 3/15 y 0.92

Answers

De que se trata tu problema es matemáticas

Step-by-step explanation:

[tex] \frac{3}{15} = \frac{1}{5} = 0.2 \\ 0.92 = \frac{23}{25} \\ 0.92 > 0.2[/tex]

(4x²y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)
Find the difference of polynomials ?

Answers

Answer:

11x^2y^3 - 4xy^2

Step-by-step explanation:

(4x^2y^3 - 2xy^2 - 2y) - (-7x^2y^3 + 6xy^2 - 2y)

Combine like terms

4x^2y^3 - -7x^2y^3 = 11x^2y^3
Two negative signs together makes addition!

Combine like terms

2xy^2 - 6xy^2 = -4xy^2

Combine like terms

-2y - 2y = 0
We don’t have to include the zero

Now add 11x^2y^3 with -4xy^2 together

11x^2y^3 - 4xy^2

Therefore, the answer is: 11x^2y^3 - 4xy^2

Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information?
A.0
B.1
1
OC. 2
OD
4
OE
Infinitely many

Answers

The answer for your question is E.

A salesman, after deducting his commission of
6%, remits $2491 to his company. The gross
amount of the sale amounted to
(A)$2809
(B) $2650
(C) $2640
(D) $2341.54

Answers

Answer:

(C) $2640

Step-by-step explanation:

2491 x 0.06 = 149.46

2491 + 149.46 = 2640.46

How many solutions does it have? Pls help

Answers

Answer:

2 solutions

i hope this will help you

Problem 7:

show that 4^n + 4^n+1 + 4^n+2 + 4^n+3 + 4^n+4 is divisible by 11 for any positive integer

Answers

4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴

= 4ⁿ (4⁰ + 4¹ + 4² + 4³ + 4⁴)

= 4ⁿ × 341

= 4ⁿ × 11 × 31

You roll five number cubes and the numbers rolled are 1,2, 3, 4, and 5. Are the events independent? Explain.

A.No; five number cubes were rolled instead of one.
B.Yes; none of the rolls has an effect on another roll.
C.No; none of the rolls had the same outcome.
D.Yes; all the rolls had different outcomes.

Answers

Answer: B

Explanation

When rolling a dice, no matter how many times you get an outcome, it can never determine the exact outcome of the next roll, hence it is termed an independent event.

Hope this helps :)

I needa good place to start

Answers

Answer:41

Step-by-step explanation  

trust

So the (3p -18) is the supplementary corner of the 105 corner so 3p-18=75 degree then 3p=57 so p=19

Write the point-slope form of each graph. Use the red point to write your equation. State the point and slope.

Answers

Answer:

First Graph:

Slope = - 4/5

Point-Slope Form: y - 3 = - 4/5 (x + 2)

Point: (-2, 3)

Second graph:

Slope = 4

Point-Slope Form: y + 6 = 4 (x + 1)

Point: (-1, -6)

Step-by-step explanation:

First graph has two points: (-2, 3) & (8, -5)

Use the two points to find the slope using the Slope-Formula

Slope-Formula: y2 - y1/x2 - x1

m = slope

m = - 5 - 3/8 - - 2

m = - 8/10

m = - 4/5

The slope of the line will be - 4/5

Now for Point-Slope Form, we’ll need to use the two points with the slope to identify the Point-Slope Form of the graph

Two points: (-2, 3) & (8, -5)

Slope: - 4/5

Point-Slope Formula: y - y1 = m (x - x1)

Point-Slope Form: y - 3 = - 4/5 (x + 2)

The point will be: (-2, 3)



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