A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If it is sunny one day, then it is equally likely to be either cloudy or rainy the next day. If it is rainy or cloudy one day, then there is one chance in two that it will be the same the next day, and if it changes then it is equally likely to be either of the other two possibilities. In the long run, what proportion of days are sunny

Answers

Answer 1

Answer:

the proportion of days that are Sunny is 0.2

Step-by-step explanation:

Given the data in the question;

Using markov chain;

3 states; Sunny(1), Cloudy(2) and Rainy(3)

Now, based on given conditions, the transition matrix can be obtained in the following way;

[tex]\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]

so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.

such that, from column 1

S = 0.25C + 0.25R   -------------let this be equation 1

from column 2

0.5C = 0.5S + 0.25R

divided through by 0.5

C = S + 0.5R ---------------------- let this be equation 2

now putting equation 2 into equation;

S = 0.25(S + 0.5R) + 0.25R

S = 0.25S + 0.125R + 0.25R

S - 0.25S = 0.375R

0.75S = 0.375R

S = 0.375R / 0.75

S = 0.5R

Therefore,

from equation 2; C = S + 0.5R

input S = 0.5R

C = 0.5R + 0.5R

C = R

Now, we know that, the sum of the three proportion should be equal to one;

so

S + C + R = 1

since C = R and S = 0.5R

we substitute

0.5R + R + R = 1

2.5R = 1

R = 1/2.5

R = 0.4

Hence, the proportion of days that are Rainy is 0.4

C = R

C = 0.4

Hence, the proportion of days that are Cloudy is 0.4

S = 0.5R

S = 0.5(0.4)

S = 0.2

Hence, the proportion of days that are Sunny is 0.2


Related Questions

Find the range of the data in the box plot below.
cokies
Number of cookies eaten
by each contestant

Answers

Answer:

20 cookies

Step-by-step explanation:

Range of a data set plotted on a box plot = the maximum value - the minimum value

The maximum value is indicated by the whisker to your extreme right = 25

The minimum value is indicated by the whisker to your extreme left = 5

Range = 25 - 5 = 20

The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?

Answers

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

                                       = 17 - (5+4)

                                       = 17 - 9

                                       = 8 inches

I need help fast i apericiate it my guy

Answers

Answer: 59

Step-by-step explanation:

Answer:

I think it's letter b.29

pensé un número y lo dividí entre 3 luego sume 15 y el resultado fue 23​

Answers

Answer:

  x: 3 = 23 -15

     x = 8 x 3

    x = 24

Step-by-step explanation:

a veriable is definded as

Answers

Answer:

Its Basically A Type of pattern In an Equation that you solve.

for example, X=Y. It's Configured as  a pattern.

Step-by-step explanation:

Answer:

A variable is a unknown number or a unknown value.

Commonly used variables are x and y.

Have a nice day!

Hope this helps!

In ΔTUV, v = 49 inches, u = 47 inches and ∠U=65°. Find all possible values of ∠V, to the nearest degree.

Answers

Answer: 16

Step-by-step explanation:

sin M/6.3=sin 21/8.2

6.3 sin 21/8.2=0.27533147

sin^-1(0.27533147)=15.981=16

A robot's height is 120 centimeters. How tall is the robot in millimeters? Record your answer and fill in the bubbles on your answer document, Be sure to use the correct place value.​

Answers

1,200 millimeters is the correct answer!1 centimeter = 10 millimeters120 x 10 = 1,200Please let me know if I am wrong.

. Jamie is walking of a mile every
hour. At that rate, how far will
Jamie have walked in one hour?

Answers

Answer:

a mile

Step-by-step explanation:

he walked 1 mile an hour

hope this helped

Answer:

Jamis would have walked 1 mile in one hour

Step-by-step explanation:

since Jamie walks a mile every hour, at that rate he would have walked 1 mile in one hour as given above.

I hope this helped! :)

☁️☁️☁️☁️

jojo makes 100 working eight hours. Trish earned 25 working one hour. How much more money does Trish make than Jojo after 10 hours?

Answers

Answer:

Jojo makes 1000 and Trish makes 250

Step-by-step explanation:

I hope this helped

Answer:

Trish makes $125 more than Jojo after 10 hours

Step-by-step explanation:

$125 jojo

$250 Trish

Multiply the sum 5 and 3 and the sum of 8 and 9

Answers

Answer:

136

Step-by-step explanation:

Sum of 5 and 3: 8

Sum of 8 and 9: 17

17 * 8 is 136

Answer: The sum of 5 and 3 is 8 and the sum of 8 and 9 is 17.

I'll mark as brainliest!
Please help!

Answers

Answer: See explanation

Step-by-step explanation:

1. Decimal fraction: ¹⁵⁷/₁₀₀

Fraction: ¹⁵⁷/₁₀₀ or 1 ⁵⁷/₁₀₀

2. Decimal Fraction: ³¹²/₁₀₀

Fraction: ⁷⁸/₂₅ or 3³/₂₅

3. Decimal Fraction: ⁶³⁰/₁₀₀

Fraction: ⁶³/₁₀ or 6³/₁₀

4. Decimal Fraction: ¹¹⁰/₁₀

Fraction: ¹¹/₁

5. Decimal Fraction: ¹¹²/₁₀

Fraction: ⁵⁶/₅ or 11¹/₅

Target buys video games for $25/game. They markup the price by 75%. How much do
they charge customers for a videogame? Do not enter a dollar symbol with your
answer.

Answers

9514 1404 393

Answer:

  $43.75

Step-by-step explanation:

The amount of the markup is ...

  $25 × 0.75 = $18.75

The final cost to the customer is ...

  selling price = purchase price + markup

  = $25.00 + 18.75 = $43.75

They charge customers $43.75 for a videogame.

I need this please help me

Answers

Answer:

y=4/5(x)+10

Step-by-step explanation:

the slope of the line is 4/5 and the y intercept is 10

using the format y=mx+b where m is the slope and b is the y intercept we arrive at the equation

How many ounces are in 13 pounds

Answers

Answer:

There are 208 ounces in 13 pounds :)

Answer:

208 oz

Step-by-step explanation:

1 lb = 16 oz

Where you see 1 lb, substitute it with 16 oz.

13 lb = 13 * 1 lb = 13 * 16 oz = 208 oz

Felix divided his shirts into three equal groups. Evaluate when s = 18.

Answers

Answer:

3 and 6.

Step-by-step explanation:

Write and evaluate the expression. Then, check all that apply.

Felix divided his shirts into three equal groups. Evaluate when s = 18.

 

The expression is

The expression is

The expression is s/3

The expression is

The answer is

The answer is 6.

QUESTION:
Rachelle is offered a new job with Big Time Book-Sellers. Her starting wage is $10.00
per hour, and she will receive a $0.50 raise after the first year. For each year that she
stays with the company after that, her raise will be $0.50 more than it was the year
before. How much will Rachelle make per hour in her 7th year working at Big Time
Book Sellers?
A) How would you solve this problem? Explain the steps you would take. What is
your answer?
B) What is one important detail from this problem that you think people might
commonly miss?

Answers

Answer:

Step-by-step explanation:

multiplicas 0.50 por 7 , el resultado es 3.5, 3.5 lo sumas a 10 y eso es el resultado de lo que ella ganaría 13.50 dólares por hora después de trabajar 7 años con ellos.

a)You multiply 0.50 by 7, the result is 3.5, 3.5 l add to 10 and that is the result of what she would earn, $ 13.50 per hour after working 7 years with them.

A shade of green paint is made by mixing 2 cups of
yellow with 3.5 cups of blue.
Will a mixture that is 3 cups of yellow and 4.5 cups of
blue be more blue, more yellow, or the same shade of
green?
More blue
More yellow
Same shade
Explain your reasoning.

Answers

Answer:

7

Step-by-step explanation:

2×3.7=7 is easy and less money

100 Multiplicaciones que me den 100

Answers

Do you mean 100 multiplied by 100?

Answer:

10 por 10

5 por 20

50 por 2

1 por 100

25 por 4

Step-by-step explanation:

I dont know how to do surface area

Answers

Answer: the equation for SU is 2(lb+bh+hl)

Step-by-step explanation: L stands for length B stands for base. H stand for height multiply that by 2

Find the missing side in the right triangle. Round to the nearest hundredth.
14
9
х

Answers

Answer:

hope it helps it is donr by using pythogorous theorem

The third side of the right triangle is 10.72 unit.

What is Pythagoras theorem?

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.

Given, the side of right triangle is;

Let H be hypotenuse = 14

And P be perpendicular = 9

Then to find third side base be B,

we use the Pythagoras theorem;

(H)² = (P)²+(B)²

Rearranging,

(B)² = (H)² - (P)²

(B)² = (14)² - (9)²

(B)² = 196 - 81

(B)² = 115

B = 10.72 unit.

Therefore, the third side is 10.72 unit.

To learn more about the Pythagoras theorem;

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5.175 into a fraction

Answers

5.715/1 is the answer

Let (12,-5) be a point on the terminal side of an angle 0. Find the values of sin e, cose, and tan

Answers

Answer:

Sin = -5/13

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Tan = -5/12

Step-by-step explanation:

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d. Which of the following statements are true?


The opposite of the opposite of the integer in part (a) is the integer.

The opposite of the opposite of a negative integer is a positive integer.

The opposite of the opposite of zero is undefined.

The opposite of the opposite of any integer is the integer.

Answers

Answer:

A

Step-by-step explanation:

Answer:

it is C

Step-by-step explanation:

Find the total of a
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Answers

Answer: $73.8 15% of 60 is 9 and 8% of 60 is4.8 then if you add them all together you get 73.8$

Step-by-step explanation:

Answer:

$73.8

Step-by-step explanation:

(15+8)= 23 -> .23 = .23 times 60 = $73.8

Find the product of largest 4 digit number and

smallest 3 digit number.​

Answers

Largest 4 digit number =9999
Smallest 3 digit number= 100
So the product of 9999 x 100 = 999,900

Answer:

Largest 4-digit number is 9999 and smallest 3-digit number is 100 and product is 10000.

Step-by-step explanation:

hope it's helpful to you

Will the sum of 56+ (-56) be Positive negative or zero

Answers

0 is the answer! U can type it in the calculator

Answer:

zero

Step-by-step explanation:

56+(-56),thus

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56-56

0

if 7y + 42 <14 then which among the following is true​

Answers

Answer:

[tex]y<-4[/tex]

Step-by-step explanation:

Given

[tex]7y + 42 <14[/tex]

Required

Determine the true statement

Options are not given; but, the question can still be attempted.

[tex]7y + 42 <14[/tex]

Collect Like Terms

[tex]7y < 14 -42[/tex]

[tex]7y < -28[/tex]

Divide through by 7

[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]

[tex]y<-4[/tex] -- This is true

which of these equations could represent the blue line?

Answers

Answer:

y = 1/2x

Step-by-step explanation:

The x seems to double the size of the y on the points.

pls help me math its due today​

Answers

Answer:

For multiplication you added the exponents and for division you minus the exponents

Answer:

kdkdjdduidddsisiodiod

Select the correct answer.
The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2

Answers

Answer:

The answer is D slope = -3 y-intercept = -2

Step-by-step explanation:

Answer

D.

Step-by-step explanation:

The first part of the equation is -3 and the second part is -2. The number attached to the variable is the "slope" and the number coming after the variable is the y intercept.

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