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navik [9.2K]
2 years ago
9

Let P = 0.5 0.1 0.5 0.9 be the transition matrix for a Markov chain with two states. Let x0 = 0.5 0.5 be the initial state vecto

r for the population. What proportion of the state 2 population will be in state 2 after two steps?

Mathematics
1 answer:
max2010maxim [7]2 years ago
7 0

Answer:

Complete solution is given in the images attached below for better demonstration

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The area of a sector of a circle with a central angle of radians is . Find the radius of the circle. Do not round any intermedia
Savatey [412]

Answer:

<h3>3.5ft</h3>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the complete question in the diagram attached.

Area of a sector = θ/360 * πr² where;

r is the radius

θ is the angle substended by the sector

Given parameters

Area of the sector = 9ft²

central angle θ = 1.5 radians

Since  1 radians = 57.2958°

1.5 radians = (1.5 * 57.2958)

1.5 rad = 85.9437°

Substituting the given values into the formula;

Area of a sector = θ/360 * πr²

9 = 85.9437/360 * (3.14)r²

9 = 0.2387325 * 3.14r²

9 = 0.74962005r²

r² = 9/0.74962005

r² = 12.00608

r = √12.00608

r = 3.4641

r = 3.5 ft (to the nearest tenth)

Hence the radius of the circle is 3.5ft

8 0
3 years ago
A professional basketball court is in the shape of a rectangle. It is 50 ft wide and 94 ft long .A player runs one time around t
hoa [83]
50 ft + 50 ft + 94 ft + 94 ft = 288 ft
4 0
3 years ago
Suppose a box of Cracker Jacks contains one of 5 toy prizes: a small rubber ball, a whistle, a Captain America decoder ring, a r
lakkis [162]

Answer:

11.42 boxes

Step-by-step explanation:

For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.

After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:

E_2 = (\frac{4}{5})^{-1} = 1.25

For the next unique toy, there is now a 3 in 5 chance of getting it:

E_3 = (\frac{3}{5})^{-1} = 1.67

Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:

E_4 = (\frac{2}{5})^{-1} = 2.5

Finally, there is a 1 in 5 chance to get the last unique toy:

E_5 = (\frac{1}{5})^{-1} = 5

The expected number of boxes to obtain a full set is:

E=E_1+E_2+E_3+E_4+E_5\\E=1+1.25+1.67+2.5+5\\E=11.42\ boxes

5 0
2 years ago
$3,300 principal earnings 4% compounded annually after 3 years
Hoochie [10]

Answer: 396

Step-by-step explanation:

It is 396 because you change the percentage to a decimal and then multiply it by the big number and one you have done that you multiply it again by 3.

7 0
3 years ago
What is the measure of M?
Ghella [55]

Answer:

Is just a letter identifying the angle.

Since,Angles of a triangle sum up to 180 ,u add both the given numbers and subtract it from 180

6 0
2 years ago
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