A solar heating device can recharge (store heat) in a single sunny day enough to provide for the next two days. In other words, the only times that the solar heat must be augmented by some other heat source is when there are three or more consecutive cloudy days. During the heating season, a period of 120 days, the weather patterns are described by the following Markov chain:
Sunny Cloudy
Suuny 1/2 1/2
Cloudy 1/3 1/3
Using this information, construct another Markov chain which is capable of indicating when the solar heat must be augmented. Hint: Think carefully about your state definition.

Answers

Answer 1

Answer:

Step-by-step explanation:

Suppose the number of days is represented with the states(S) provided that a sunny day, with a maximum of three.

i.e.

S = (0, 1, 2, 3)

It implies that; if we assume that [tex]X_n=2[/tex], what this means is that today appears cloudy, then yesterday was cloudly as well while the day before yesterday was sunny.

Constructing a one-step probability transition matrix;

[tex]P = \left\begin{array}{cccc}0\\1\\2\\ 3 \end{array}\right \left[\begin{array}{cccc}1/2&1/2&0 &0\\1/3&0&2/3&0\\1/3&0&0&2/3\\ 1/3 &0&0&2/3\\\end{array}\right][/tex]


Related Questions

The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the figure are 4 inches, 2 inches, and 14 inches, respectively. A cyclist is pedaling at a rate of 1 revolution per second.

(a) Find the speed of the bicycle in feet per second and miles per hour.
ft/sec
mph

(b) Use your result from part (a) to write a function for the distance d (in miles) a cyclist travels in terms of the number n of revolutions of the pedal sprocket.
d =


(c) Write a function for the distance d (in miles) a cyclist travels in terms of time t (in seconds). Compare this function with the function from part (b).
d =

Answers

C is the answer!!! :D

3x^2yz^3-9x^3y^2z^2+12x^2y^3z^2

Answers

3×2=692047 82837=284749×2484r133.e9274

how many inches would represent 315 miles​

Answers

Answer: 19,958,400

Step-by-step explanation: Multiply the length value by 63360.

315 x 63,360 = 19,958,400

What is the median for the following set of numbers? 10, 13, 15, 12, 9, 12, 16

Answers

Answer:

12

Step-by-step explanation:

Arranging in ascending order -> 9, 10, 12, 12, 13, 15, 16

n = 7

Median = value of ((n + 1) / 2) th term

             = value of (7+1) / 2 th term

             = value of 4 th term

             = 12

Hope it helps :)

Please help ASAP, marking brainliest if correct!

Answers

Answer:

option 4

Step-by-step explanation:

the total interior angle of a triangle adds up to 180º. you're given it's a right triangle (90º) and the angle B, 21º. Add those up and you get 111º. 180º-111º=69º, angle C.

729
800
9
150
8
515
125
512
612
Select all the cube numbers.

Answers

729, 9, 8, 515, 125, 512,612
(I’m not sure)

The first three terms of a geometric sequence are as follows.
-7, 14, -28
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
-7, 14, -28, CI

Answers

-7,14,-28,56,-112

an = a1(r)^n-1

a4 = -7(-2)^4-1

a4 = -7(-2)³

a4 = -7(-8)

a4 = 56

an = a1(r)^n-1

a5 = -7(-2)^5-1

a5 = -7(-2)⁴

a5 = -7(16)

a5 = -112

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To ride a horse at the state fair costs two dollars per minute. Paula buys a 16 minute ride. Next time he plans to write 25% longer. How much will he pay

Answers

Answer:

$40

because it is lol ya know smart

Solve for the variable x:
3x = 1/3

Answers

Answer:

x = 1/9

Step-by-step explanation:

The ratio of a model car's dimensions to the actual car's dimensions is 1/52. The model has a length of 3 in.


What is the length of the actual car? Enter your answer in feet.


The actual car is ___feet long.

Answers

Answer:

13 feet

Step-by-step explanation:

3 inches times 52 equals 156.

156 divided by 12 equals 13.

The length of the actual car if The ratio of the model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches, is 13 feet.

What is the scale factor?

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized. It is employed to change the size of an object.

The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).

Given:

The ratio of a model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches,

Calculate the actual length of the car as shown below,

Models car length / The actual length of the car = 1 / 52

3 / The actual length of the car = 1 / 52

The actual length of the car = 3 × 52

The actual length of the car = 156 inches

The actual length of the car = 156 × 0.0833 feet  (1 inch = 0.0833)

The actual length of the car = 13 feet

Thus, the actual car is 13 feet long.

To know more about scale factors:

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Find the area of the rhombus

Answers

Answer:

area of rhombus=d1×d2=1/2(5+5)×(10+10)=1/2 10×20=100m²

The area of the rhombus is 100 m².

We have,

The area of a rhombus.

Area = (diagonal A* diagonal B) / 2 _____(1)

Now,

From the figure,

Diagonal A = (5 + 5) = 10 m

Diagonal B = (10 + 10) = 20 m

Substitute the values in (1).

Area of the rhombus.

= 1/2 x (10 x 20)

Simplify the expression.

= 1/2 x 200

= 100 m²

Thus,

The area of the rhombus is 100 m².

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Which of the following are accurate factors of 4x2 + 5.0 – 21 when multiplied together? Select the two correct answers.
(2 points)
(40 - 7)
0 (x + 2)
(52 -3)
0 (+3)

Answers

Answer:

First and last

Step-by-step explanation:

(4x - 7) (x + 3)

FOIL

4x^2 + 5x - 21

Solve the system of linear equations below, using substitution method.

8x+9y=368x+9y=36
3x+4y=163x+4y=16

Answers

Answer:

[tex]x = 0[/tex]

[tex]y=4[/tex]

Step-by-step explanation:

Given

[tex]8x + 9y = 36[/tex]

[tex]3x + 4y = 16[/tex]

Required

Solve using substitution method

Make x the subject in [tex]3x + 4y = 16[/tex]

[tex]3x = 16 - 4y[/tex]

Divide through by 3

[tex]x = \frac{1}{3}(16 - 4y)[/tex]

Substitute [tex]\frac{1}{3}(16 - 4y)[/tex] for x in [tex]8x + 9y = 36[/tex]

[tex]8*\frac{1}{3}(16 - 4y) + 9y = 36[/tex]

[tex]\frac{8}{3}(16 - 4y) + 9y = 36[/tex]

Open bracket

[tex]\frac{8}{3}*16 - \frac{8}{3}*4y + 9y = 36[/tex]

[tex]\frac{8*16}{3} - \frac{8*4y}{3} + 9y = 36[/tex]

Multiply through by 3

[tex]3 * \frac{8*16}{3} - 3 *\frac{8*4y}{3} +3* 9y = 36*3[/tex]

[tex]8*16 - 8*4y +3* 9y = 36*3[/tex]

[tex]128- 32y +27y = 108[/tex]

[tex]128-5y = 108[/tex]

Collect Like Terms

[tex]-5y = 108-128[/tex]

[tex]-5y = -20[/tex]

Make y the subject

[tex]y = \frac{-20}{-5}[/tex]

[tex]y=4[/tex]

Substitute 4 for y in  [tex]x = \frac{1}{3}(16 - 4y)[/tex]

[tex]x = \frac{1}{3}(16 - 4*4)[/tex]

[tex]x = \frac{1}{3}(16 - 16)[/tex]

[tex]x = \frac{1}{3}(0)[/tex]

[tex]x = 0[/tex]

Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted
points to sketch out the graph of F(t).

(0, 26.24)(12, 104) (24, 26.24)

Answers

Answer:

should be easy just plot the points

Step-by-step explanation:

we don't have the chart, though.

Answer:

Answer is attached :)

Step-by-step explanation:

7515.904 rounded to nearest tenth

Answers

Answer:

7515.9

Step-by-step explanation:

Tenth is basically like 1 decimal point.

0-4 round dowm 5-9 round up

PLEASE SOMEONE HELP THIS IS THE LAST ANSWER ON MY TEST BUT I DONT KNOW MATH GOOD???

Answers

Answer:

x = 7

Step-by-step explanation:

A quadratic function is given by the table. Anna and Marco are trying to locate the roots of the given function. Are their solutions accurate? Explain in detail and find the exact value of the roots. Approximate the roots to the nearest tenth. Math task

Answers

Answer:

what’s 2/3 x 7?

Step-by-step explanation:

Find the set AUB.
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A={1, 2, 4, 6}
B = {3, 6, 5)

Answers

Step-by-step explanation:

solution,

given,

U={1,2,3,4,5,6,7,8,9,10}

A={1,2,4,6}

B={3,6,5}

now,

AUB={1,2,4,6}U{3,6,5}

={1,2,3,4,5,6,}

this is the answer and thanks for giving the opportunity to help you....... follow me...have a nice day ahead..

Phyllis invested 32000 dollars, a portion earing a simple interest rate of 5 percent per year and the rest earning a rate of 6 percent per year. After
one year the total interest earned on these investments was 1820 dollars. How much money did she invest at each rate?

Answers

9514 1404 393

Answer:

$10,000 at 5%$22,000 at 6%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...

  0.06x +0.05(32000 -x) = 1820

  0.01x +1600 = 1820 . . . . simplify

  0.01x = 220 . . . . . . . . . .  subtract 1600

  x = 22,000 . . . . . . . . . . . multiply by 100

  32000 -x = 10,000

Phyllis invested $22,000 at 6% and $10,000 at 5%.

Make the right answers plz

Answers

Answer:

thx for the free points

sorry that people are giving the wrong answers.  thats happening to me too

a light bulb consumes 6300 watt hours in 3 days and 12 hours. how many watt hours does it consume per day

Answers

Answer:

1800 watt hours

Step-by-step explanation:

6300 watt hours in 3 days and 12 hours

3 x 24 = 72 3 days worthof hours

72 + 12 = 84 total hours

6300/84 = 75 watt hours per hour

75 x 24 = 1800 watt hours per day

John owns 5 health food stores in the Columbia area, and they are realizing a good profit. John decides to invest a portion of the profits in an annuity
offered by Penn Life Insurance. Penn Life will guarantee John 8 percent interest compounded quarterly for the first 5 years, as long as he deposits
$10,000.00 every quarter of the term of the guaranteed rate. Assuming John fulfills the obligations of the investment, what will be the value of the
investment at the end of the 5-year term?
O $245,446.58
$261,832.74
O $242,970.00
O $255,446.40

Answers

Answer:

b. $242,970.00

Step-by-step explanation:

The value of the investment compounded quarterly at the end of 5 years is $242,970.00.

What is compounded quarterly?

Compounded quarterly is the "interest amount which is earned quarterly on an account or investment".

According to the question,

John rate of interest = 8%

Period (n) = 5years

Principal = $10,000

Amount of compounded quarterly = P(1+[tex]\frac{r/4}{100}[/tex])⁴ⁿ.

= 10000(1+[tex]\frac{8/4}{100}[/tex])⁴⁽⁵⁾

= 10000(1+[tex]\frac{2}{100}[/tex])²⁰

=10000([tex]\frac{102}{100}[/tex])²⁰

=10000(1.02)²⁰

=10000(1.4859)

=14,859.474.

As long as John deposits $10,000.00 every quarter of the term of the guaranteed rate is $228110.526.

In order to find the value of the investment at the end of the 5-year term

$14,859.474.+$228110.526

= $ 242,970.00

Hence, the value of the investment compounded quarterly at the end of 5 years is $242,970.00.

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what is the equation of the function that is graphed as line a?

Answers

Answer:

B

Step-by-step explanation:

We see that the line intersects the y-axis at -1.  As a result, we need to choose an equation with -1, either B or C.  We see that the different is the slope.  For choice B, the slope is [tex]\frac{1}{3}[/tex], meaning that every unit up equates to 3 blocks to the right.  Counting along the line, we see that this is correct.

Sylvia set a goal of saving at least $200 in a savings account.
She currently has $60 in the account. If she invests $5 of her weekly allowance per
week, how many weeks will it take her to reach her goal?
Write the inequality to the problem.

Answers

Answer:

60+5x>200

Step-by-step explanation:

This is the answer

Find the third term of a proportional if the first, second and fourth terms are 24, 36, 126

Answers

Answer:

The third term of a proportional will be: 84

Step-by-step explanation:

We know that if a, b, c and d are in proportion, then:

[tex]\:\:a\:\times \:d\:=\:b\:\times \:c[/tex]

In our case, we are given the first, second, and fourth terms are [tex]24, 36, 126[/tex]

[tex]a = 24[/tex]

[tex]b = 36[/tex]

[tex]d = 126[/tex]

and we have to determine the third term 'c'.

as we know that  if a, b, c, and d are in proportion, then:

[tex]\:\:a\:\times \:d\:=\:b\:\times \:c[/tex]

Thus,

substituting a = 24, b = 36, d = 126 to determine

[tex]24\:\times \:126\:=\:36\:\times \:c[/tex]

[tex]c=\frac{24\:\times \:\:126}{36}[/tex]

[tex]c=\frac{3024}{36}[/tex]

[tex]c = 84[/tex]

Thus, the third term of a proportional will be: 84

a. How many 1/3s are in 2 2/3?​

Answers

Answer:

1 2/3 = (1•3+2)/3 = 5/3. Therefore, 5/3 ÷ 1/3. = 5.

Step-by-step explanation:

So the answer is 5.

the answer indeed is 5 :)) step by step

A. It takes 86 pounds of seed to completely plant a 9-acre field. How many pounds of seed are needed per acre?

B. At Garcia's Bike Rentals, it costs $27 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?

Answers

Answer:

A. about 9.6 pounds of seeds

B. $4.5 per hour

Step-by-step explanation:

A curve has equation y=2/x square root what is dy/dx

Answers

Answer:

dee y by dee x

Step-by-step explanation: hope this helps! have a supercalifragilisticexpialidocious day! ◑﹏◐

Answer: (The answer is in the image below. Had to write it instead of type it.)

Step-by-step explanation: Differentiate each term with respect to x, then solve for y'.

I hope this helps you out!

HELP EASY IF YOU KNOW SPANISH

Answers

Answer:

14 is "Yo tengo"

15 is Qué tienes en tu mochila?

I need the answers ASAP

Answers

Answer:

Image attached

Step-by-step explanation:

Just wandering, no hate, you can post answers on brainly but can't read an analog clock.

BTW I've got one in my house

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