Data collected from selected major metropolitan areas in the eastern United States show that 2% of individuals living within the city limits move to the suburbs during a one-year period, while 1% of individuals living in the suburbs move to the city during a one-year period. Assuming that this process is modeled by a Markov process with two states: city and suburbs.
a. Prepare the matrix of transition probabilities.
b. Compute the steady-state probabilities.
c. In a particular metropolitan area, 40% of the population lives in the city, and 60% of the population lives in the suburbs. What population changes do your steady-state probabilities project for this metropolitan area?

Answers

Answer 1

Answer:

a)  City Suburbs city 0.98 0.02 ,  Suburbs  0.01 0.99

b)  0.333 ,  0.667

c )  Using the steady-state probabilities, There will be an increase in the Suburb population and a decrease in City population

Step-by-step explanation:

2% living within the city limits move to suburbs

1% living within the suburbs move to the city

a) Matrix of transition probabilities  

City Suburbs city 0.98 0.02 ,  Suburbs  0.01 0.99

b) Steady -state probabilities

attached below

steady state probabilities = 0.333 ,  0.667

c) Determine the population changes the steady-state probabilities

Using the steady-state probabilities, There will be an increase in the Suburb population and a decrease in City population i.e. a decrease from 40% to 33%

Data Collected From Selected Major Metropolitan Areas In The Eastern United States Show That 2% Of Individuals

Related Questions

Helpppppppp please!!!!!!!!!!!

Answers

Answer:

a. (4, 13/6)

b. (4, -5/6)

c. (4,  5/6)

Step-by-step explanation:

sorry if it is not right.

What do you say back to someone who said: “ Nobody understands how it is to be everyone’s go to and have no one to care for you. “?

Answers

Answer: just be positive

Step-by-step explanation:

) Prompt the user to input an integer between 32 and 126, a float, a character, and a string, storing each into separate variables. Then, output those four values on a single line separated by a space. (Submit for 2 points).

Note: This zyLab outputs a newline after each user-input prompt. For convenience in the examples below, the user's input value is shown on the next line, but such values don't actually appear as output when the program runs.

Answers

The complete program is

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

How to write the program

From the question, we have the following parameters:

Accept inputs of integer, float, character and stringPrint the inputs on a line separated by space

The program that does this is:

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

See attachment for complete program and the output of the program execution

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Find the distance around each figure. Use 3.14 for pi. 5 feet for radius

Answers

Answer:

C≈31.42ft

Step-by-step explanation:

Solution

C=2πr=2·π·5≈31.41593ft

In major need of help ‼️

Answers

Given: 140 students have I-Phones

Find: How many students have other types of phones

Variable: Independent variable- Survey, Dependent variable- Types of phones

Equation: 140 divided by 4

Solution: is

4/140

4/14= 3

4/20= 5

4/140 = 35

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I just want to write this just in case (you dont have to read this) Many people like myself have alot of problems with math, its really hard! Just keep on trying, I know that everybody says that but please take it into consideration. Work hard, have a nice day!

please help!

Use the Fundamental Counting Principle to determine how many kinds of teddy bears you can build if you must choose one of each category.
1) Choose the bear.
2) Choose an accessory.
3) Choose sound option.

Answers

Answer:

Step-by-step explanation:

33

PlEASE HELP ME WITH TWO QUESTIONS!!!!!!!!!!!

Answers

Answer:

3000x5

Step-by-step explanation:

a gold and diamond bracelet sells for $1800 . find the sales tax and the total price if the sales tax rate is 5.5% .

Answers

Answer:

Sales Tax In Amount =$99

Total amount of purchase = $1899

Step-by-step explanation:

First, let's find sales tax price in amount(dollars)

(Total Amount)*(percentage of tax)/100=Tax in amount

(1800)*(5.5%)/100 = $99

Therefore, the sales tax in amount would equal to $99, which is the same as 5.5%.

Now, let's find the total price of the purchase.

$1800+$99= $1899

So, the total cost of the purchase would equal to $1899.

The price of the gold bracelet after adding sales tax is $1899 and sale tax is $99.

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, the original price of  a gold bracelet is $1800 and there is a sales tax of 5.5% on it,

Sales tax = 5.5% of 1800

= $99

The total price = 1800 + 99 = $1899

Hence, The price of the gold bracelet after adding sales tax is $1899 and sale tax is $99.

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I thought of a number, added 26 to it, and then divided the result by 20. What is my number?

Answers

Answer:

12?

Step-by-step explanation:

PS lies on the perpendicular bisector of QR. Select all the statements about the figure that must be true.

Answers

Of the given statements, only the option number {5} and {6} are true.

What is perpendicular bisector?

The perpendicular bisectors of a triangle are lines passing through the midpoint of each side which are perpendicular to the given side. A triangle's three perpendicular bisectors meet at a point. known as the circumcenter, which is also the center of the triangle's circumcircle.

Given is a triangle as shown in the image.

Since PS is the perpendicular bisector of QR, we can write -

QS = SR

6n + 3 = 4n + 11

2n = 8

n = 4

QR = QS + SR

QR = 6n + 3 + 4n + 11

QR = 10n + 14

QR = 10 x 4 + 14

QR = 54

and

SR = 4n + 11

SR = 16 + 11

SR = 27

Therefore, of the given statements, only the option number {5} and {6} are true.

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An electronics company can spend no more than $4,000 on raw materials for circuit boards. The raw materials cost $10 per ounce for copper and $20 per ounce for silver.

To summarize the situation, a worker writes the inequality:

10c+20s≤4,000 where c is the number of ounces of copper material and s is the number of ounces of silver material.

Which graph's shaded region shows the possible combinations of raw materials the company can buy?

Answers

The given graph's shaded region shows the possible combinations of raw materials the company can buy.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

An electronics company can spend no more than $4,000 on raw materials for circuit boards.

And, The raw materials cost $10 per ounce for copper and $20 per ounce for silver.

Here, The inequality for the given condition is,

⇒ 10c + 20s ≤ 4,000

Where, c is the number of ounces of copper material and s is the number of ounces of silver material.

So, The given graph's shaded region shows the possible combinations of raw materials the company can buy.

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Solve the system of linear equations by graphing. Y=-3 and 6x +y=3

Answers

Answer is solution coordinate ( 1, -3)
Where the two lines cross

Step by step

The two equations were graphed, see attached. The point where the two lines cross is the solution, ( 1, -3)

I need help pls answer

Answers

Increase=5%/100% x $12 =0.60
$12.00 + $0.60=$12.60

100 POINTS!!!!! PLEASE HELP!

Answers

Answer:

[tex]a^{12} b^{4}[/tex]

Step-by-step explanation:

To simplify we will have to use the negative exponent rule and the power rule along with some algebra.

Negative Exponent Rule

[tex]a^{-b} =\frac{1}{a^b}[/tex]

Power Rule

[tex](a^b)^{c} =a^{bc}[/tex]

Given

[tex](a^{-4}b^{-1}c )^{2} (a^2bc)^{2}[/tex]

Rewrite [tex]a^{-4}[/tex] using negative exponent rule.

[tex](\frac{1}{a^{4}}* b^{-1}c )^{2} (a^2bc)^{2}[/tex]

Rewrite [tex]b^{-1}[/tex] using negative exponent rule.

[tex](\frac{1}{a^{4}}* \frac{1}{b}*c )^{2} (a^2bc)^{2}[/tex]

Simplify

[tex](\frac{c}{a^4b} )^{2} (a^2bc)^{2}[/tex]

Rewrite the base as its reciprocal.

[tex](\frac{a^4b}{c} )^{2} (a^2bc)^{2}[/tex]

Apply the power rule.

[tex]\frac{a^8b^2}{c^2} *(a^2bc)^{2}[/tex]

Apply the power rule.

[tex]\frac{a^8b^2}{c^2} *a^4b^2c^2[/tex]

Cancel the common factor of [tex]c^2[/tex].

[tex]a^8b^2 a^4b^2[/tex]

Apply the power rule.

[tex]a^{12} b^{4}[/tex]

Answer:

[tex]a^{12}\:b^{4}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(a^{-4}\:b^{-1}\:c\right)^{-2}\left(a^2\:b\:c\right)^2[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies a^{(-4 \times -2)}\:b^{(-1 \times -2)}\:c^{-2}\:a^{(2 \times 2)}\:b^2\:c^2[/tex]

Simplify:

[tex]\implies a^{8}\:b^{2}\:c^{-2}\:a^{4}\:b^2\:c^2[/tex]

Collect like terms:

[tex]\implies a^{8}a^{4}\:b^{2}b^2\:c^{-2}c^2[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies a^{(8+4)}\:b^{(2+2)}\:c^{(-2+2)}[/tex]

Simplify:

[tex]\implies a^{12}\:b^{4}\:c^{0}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^0=1:[/tex]

[tex]\implies a^{12}\:b^{4}(1)[/tex]

[tex]\implies a^{12}\:b^{4}[/tex]

Express the ratio below in its simplest form.
2.5: 3.5​

Answers

Answer:

Ratio = 5:7

Step-by-step explanation:

2.5 :3.5

To simplify a ratio, we must find a common factor that easily divides them.

Both of them have a common factor of 0.5, so we divide each of them by 5

2.5/0.5 = 5

3.5/0.5 = 7

So, the final ratio we end up with is equal to 5:7.

I Hope this helps!

PLEASE HELP AND ANSWER THE QUESTION

Answers

40 40 = 80
110 10 = 200

What is the probability of tossing a coin and getting heads three times in a row?

What is the chance that the next toss will be heads? What is the chance that the next toss will be tails?

Answers

The probability of tossing 3 heads in a row is P = 0.125, and after that, because the events are independent, the probability of getting heads (or tails) still is p = 0.5

How to find the probability?

Assuming that we have a fair coin, we assume that both outcomes have the same probability, so:

P(tails) = 0.5

P(heads) = 0.5

Then the probability of getting heads 3 times in a row, is the product of the probability of getting heads 3 times, this will be:

P(3 heads) = 0.5*0.5*0.5

P(3 heads) = 0.5^3

P(3 heads) =  0.125

Now, after this point, what is the probability of getting heads or tails?

Remember that each toss of the coin is independent of the previous one, so the probability of getting tails still is 0,5, and the same for the probability of getting heads.

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Pls answer quickly i give LOTS OF POINTS. (No bots or links pls)

Answers

5 or 6 I think! Sorry if wrong

need help solving this problem please ​

Answers

Step-by-step explanation:

[tex] \cos( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} } \\ = \sqrt{ \frac{1 - ( - \frac{15}{17}) }{2} } \\ = \sqrt{ \frac{32}{34} } [/tex]

Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit

Answers

The data provided in the table implies that Alonzo's Cycling should produce five or six bikes if it wants to maximize its profits.

What is profit maximization?

Profit maximization is a process that businesses go through to make sure the best levels of output and prices are realized in order to maximize their returns. The company modifies important variables like sale price, production costs, and output levels in order to achieve its profit objectives.

This is because the sixth bike is the point at which the marginal revenue matches the marginal cost. The company will make $90 in profit with the sale of its fifth or sixth bike each day. After that, the profit begins to fall with each sale.

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You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?

Answers

Answer: $272

Step-by-step explanation: you would multiply 250 * 0.022 = 5.5

then you would multiply 5.5 * 4 = 22 then you would add 22 + 250 = 272

help me please i’ll do anything

Answers

Answer:

[tex] \sqrt{145} [/tex]

Step-by-step explanation:

I think you've been tricked 2 root 37 = root 148

What are the coordinates of point G?

Answers

Answer:

D. (4,9)

Step-by-step explanation:

Choose the mathematical sentence that most accurately expresses the
information in the problem, and would be most helpful in solving it.
There are 25 milligrams of sodium per serving in a bag of potato chips. In
that bag there are 5 servings. How many milligrams of sodium are there in the
whole bag?
A. S+5 = 25
B. 5 : s= 25
C. S-5 = 25
D. s = 5(25)
O E. S : 5 = 25
O F. S = 25+ 5

Answers

Answer:

[tex]s = 5 * 25[/tex]

Step-by-step explanation:

Given

[tex]Servings = 5[/tex]

[tex]Sodium/Serving = 25mg[/tex]

Required

The number of sodium mg in the bag

This is calculated as:

[tex]s = Servings * Sodium/Serving[/tex]

[tex]s = 5 * 25[/tex]

Hence: (D) is correct

HELP MEEEEEE PLEASESEE PLEASE

Answers

Answer:

240 grams

Step-by-step explanation:

720-480=240

Answer:

240

Step-by-step explanation:

subtraction

720-480

Solve for the value of c (2c-4) (5c+3)

Answers

Is this correct ☑️☑️✔️

Answer:

its 13

Step-by-step explanation:

A cylindrical paint can has a diameter of 12 centimeters and
height of 16 centimeters. Which is closest to the volume of
the paint can in cubic centimeters?

Answers

Answer:

Step-by-step explanation:

you could find the area of the circle ,  then multiply that by the height

area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]\pi[/tex][tex]6^{2}[/tex]=113.0973355

16*113.0973355=1809.5573

The volume of the paint can in cubic centimeters 1808.64 cm³.

what is Volume?

The amount of space occupied by a three-dimensional figure as measured in cubic units.

given: radius= 6cm and height= 16 cm

Volume of cylinder= πr²h

                               = 3.14*6*6*16

                               = 1808.64 cm³

Thus, the volume of the paint can in cubic centimeters 1808.64 cm³.

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A quadrilateral with 4 congruent sides and 4 right angles is?

Answers

The answer to this problem is: A Square

-5(6x+3y-1)
Simplify

Answers

Answer:

-30x+15y+5 is the simplified answer

6x(2x+3)+1(2x+3)
Rewrite the expression

Answers

The answer to this question in particular is 12x^2+20x+3
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