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 60% of chance 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, how frequent are we observing a day for which it is rainy and the next two days are also rainy

Answers

Answer 1

Answer:

In the long run if one day is rainy there is frequency of 2/5 that other two days will also be rainy.

Step-by-step explanation:

A matrix is formed to classify the weather conditions. It is given that if one day is sunny then there is likely chance that the next day will be cloudy, but if one day is rainy then there is 60% chance that next day will be same. To identify the possibility of next two days we create probability matrix;

Probability (P) = [tex]\left[\begin{array}{ccc}0&\frac{1}{2} &\frac{1}{2} \\\frac{1}{4} &\frac{1}{2} &\frac{1}{4} \\\frac{1}{4} &\frac{1}{4} &\frac{1}{2} \end{array}\right][/tex]

After solving for probability we get a fraction of 2/5


Related Questions

The ratio of red marbles to blue
marbles in Simran's bag is equal to 4
to 7. If there are 20 red marbles, how
many blue marbles are there?

Answers

20-23 red marbles makes the most sense

the value ax^2 + bx is 5 when x=1, and is equal to 0 when x=1.what are the values of a and b. explain how u arrived at your answer

Answers

Answer: a = 1.25, b = 2.5, c = 1.25

Step-by-step explanation:

Use vertex form and substitute a point into it (1, 5)

5 = a(1 + 1)^2 + 0

5 = a(2)^2 + 0

5 = 4a

a = 5/4

y = 5/4 (x + 1)^2

y = 5/4 (x^2 + 2x + 1)

1.25 x^2 + 2.5x + 5/4

Is there a "c" value otherwise it's not possible

Convert 20 miles to km

Answers

Answer:

32.1869

Step-by-step explanation:

You can use an online converter!

You can look up Miles to KM

The formula for compound interest is:

Where:

A = the future value of the investment (including interest)
P = the principal investment amount (the initial deposit amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for

If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?

Answers

Answer:

Future value, A = $642

Step-by-step explanation:

Given the following data;

Principal = $500

Interest rate = 5% = 5/100 = 0.05

Time, t = 5 years

n = 365

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]

[tex] A = 500(1 + 0.000137)^{1825}[/tex]

[tex] A = 500(1.000137)^{1825}[/tex]

[tex] A = 500*1.2840 [/tex]

Future value, A = $642

Is 6 right?? Please help

Answers

Answer:

yes, it should be

Step-by-step explanation:

if you put y =Alan’s cards you can put
10+x= y
but if not then 10+x is the amount of cards Alan would have except i wouldn’t put the =10x because that says you are multiplying and that doesn’t happen in this problem

o keep the spectators out of the line of flight at an air show, the ushers arranged the show's seats in the shape of an inverted triangle. Kevin, who loves airplanes, arrived very early and was seated in the front row, which contained one seat. The second row contained three seats, and those filled very quickly. The third row contained five seats, which were given to the next five people who came. The next row contained seven seats. This seating pattern continued all the way to the last row, with each row containing two more seats than the previous row. All 20 rows were filled. How many people attended the air sh

Answers

Answer:

400 people attended the air show.

Step-by-step explanation:

Arithmetic sequence:

An arithmetic sequence has the following general equation:

[tex]a_n = a_1 + d(n-1)[/tex]

In which [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term and d is the common difference between the terms.

The sum of the first n terms of an arithmetic sequence is given by:

[tex]S_n = \frac{n(a_1+a_n)}{2}[/tex]

In this question:

First row 1 seat, second 3 seats, 3rd 5 seats and so on.

So we have the following arithmetic sequence:

{1,3,5,7,9,...}

So [tex]a_1 = 1, d = 9 - 7 = 7 - 5 = ... = 2[/tex]

So

[tex]a_n = 1 + 2(n-1)[/tex]

All 20 rows were filled. How many people attended the air show?

Sum of the 20 terms of the progression. So

[tex]S_{20} = \frac{20(1+a_{20})}{2} = 10(1+a_{20})[/tex]

The 20th term is:

[tex]a_{20} = 1 + 2(20-1) = 1 + 2*19 = 1 + 38 = 39[/tex]

So

[tex]S_{20} = 10(1+a_{20}) = 10(1 + 39) = 10(40) = 400[/tex]

400 people attended the air show.

Three houses for of a bag of flour to make how many bags of flour does grandma need to buy if she is making 10 dozen cookies

Answers

Assuming you meant 3 dozen for a bag of flour the answers 4
If you meant 3 cookies for a bag of flour the answers 10

The radius of a cylindrical construction pipe is 1.5ft. If the pipe is 17ft long

Answers

Answer:

The volume is 120.11ft^3

Step-by-step explanation:

Given

[tex]r = 1.5ft[/tex]

[tex]l = 17ft[/tex]

Required

Determine the volume

This is calculated as:

[tex]V = \pi r^2h[/tex]

h, in this case represents the length;

So, we have:

[tex]V = 3.14 * 1.5^2 * 17[/tex]

[tex]V = 120.11ft^3[/tex]

The solution to the following system of linear equations lies in which quadrant?
-2x + 3y = 8
4x + y=-2

Select one:
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV

Answers

It should be quadrant 2

PLEASE HELP THIS ASSIGNMENT IS VERY CONFUSING

Answers

Answer:

the value of x is 10

Answer:

10

Step-by-step explanation:

Since this is a 90 degree angle (indicated by the red box), we can put the two values added equal to 90

70+2x=90

Solve for x

2x=20

x=10

please I need help on maths ​

Answers

Answer:

155

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

360 - (25 x 4) = 260

Each  angle  = 260/4= 65

A= 180- 65 = 115

I hope im right!!

PLEASE PLEASE HELP ME IM DESPERATE

Answers

Answer:

B) (4x+1)

Step-by-step explanation:

-8x^3/-2x^2=4x and -2x^2/-2x^2=1, hence 4x+1.

-12x/-3=4x and -3/-3=1, hence 4x+1

People attending a basketball game either supported the home team or the visiting team. If 893 of the people attending supported the home team and 1007 supported the visiting team, what percentage supported the home team?

Answers

Answer:

47%

Step-by-step explanation:

893/1900=x/100 x=47%

Jane has 6 more than half the number of pairs of shoes that Mercedes has. Jane has j pairs of shoes, and Mercedes has m pairs of shoes. Write an equation that shows the relationship between j and m.

Answers

The correct equation is j= 1/2m +6

Which is the completely factored form of 3x2 – 12x – 15?

3(x + 1)(x – 5)
3(x – 1)(x + 5)
(3x + 1)(x – 15)
(3x – 1)(x + 15)

Answers

Answer:

(x - 5)(3x + 3)

Step-by-step explanation:

(x - 5)(3x + 3)

3x2 + 3x - 15x - 15

3x2 - 12x - 15

Elena is 56 inches tall what is her height in meters?

Answers

Answer: 1.4 meters

divide the length value by 39.37

56/39.37= 1.4

Help please I give brainliest

Answers

Answer:

I think its no association because the snow cone doesn't really tell you anything you can have a snow cone at any time of day

Step-by-step explanation:

Answer:

No association

Step-by-step explanation:

The average tempature decreases while the sales of snow-cones increase

Which of the following expressions are equivalent to 256^x? Select all that apply.

a. 8^2x
b. 4^4x
c. (64^x)^2
d. (16^x)^2
e. 2^8x​

Answers

Answer:

d

Step-by-step explanation:

i did it on eduhguenity

The solutions which satisfy the equation A = 256ˣ are

Option B. 4⁴ˣ

Option D. 16²ˣ

Option E. 2⁸ˣ

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by A = 256ˣ

a)

The value of equation B = 8^2x

B = 8²ˣ

On simplifying the equation , we get

B = 8²⁽ˣ⁾

B = 64ˣ

And the value of B ≠ A

b)

The value of equation B = 4^4x

B = 4⁴ˣ

On simplifying the equation , we get

B = 4⁴⁽ˣ⁾

B = 256ˣ

And the value of B = A

c)

The value of equation B = (64^x)^2

B = (64ˣ)²

On simplifying the equation , we get

B = 64²⁽ˣ⁾

B = 4096ˣ

And the value of B ≠ A

d)

The value of equation B = (16^x)^2

B = (16ˣ)²

On simplifying the equation , we get

B = 16²⁽ˣ⁾

B = 256ˣ

And the value of B = A

e)

The value of equation B = 2^8x​

B = (2⁸)ˣ

On simplifying the equation , we get

B = 256⁽ˣ⁾

And the value of B = A

Hence , the equations which satisfy are

Option B. 4⁴ˣ

Option D. 16²ˣ

Option E. 2⁸ˣ

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

3/8 of a pizza was shared among 3 persons. how much pizza would each person get?​

Answers

1/8? I believe so ... yeah
each person would get one piece.

Can you please help me please

Answers

Answer:

$182.84

Step-by-step explanation:

169.30*0.08=13.54

13.54+169.30=

$182.84

Hope this helps!!

Martin says that 1/3 + 1/6=2/9 Use the drop-down menus to explain why Martin is incorrect. Martin is incorrect because is incorrect ​

Answers

Answer:

A. is incorrect. He has to divide 76 by 19, instead of subtracting 19 to 76.

B. This equation has one solution. v=4

Step-by-step explanation:

Hi, Martin’s answer is incorrect.

A. He has to divide 76 by 19, instead of subtract 19 to 76.

The correct steps are:

19v = 76  

Since 19 is multiplying the variable, to eliminate it we have to divide by 19.

v = 76/19

v = 4

B. This equation has one solution. It’s v=4

Feel free to ask for more if needed or if you did not understand something.

a. less than

b.greater than

PLEASE HELP DUE TONIGHT

Answers

Answer:

The answer should be 20,000 feet

Step-by-step explanation:

sin 0 =opposite/hypotenuse

sin 30 = AB/AC

sin 30 = 10000/c

c= 10000/sin 30

c=10000/1/2

c=20,000 feet

Write the equation of the line, in slope-intercept form, through the
following two points
(-4,-9)
(1, 11)

Answers

Answer:

(1, 11)

that the answer

I don't know it is not sure it say Write the equation of the line, in slope-intercept form, through the

following two points

that why i say that

Yo help me out man plz bro

Answers

Answer:

this is a live quiz this doesn't follow brainly guidelines

Step-by-step explanation:

Answer:

after 5 years y\hfhfjdjrjrnufjrjdunens

The price of a 9-minute phone call $1.35. What is the price of an 11-minute phone call?

Answers

Answer:

1.65

Step-by-step explanation:

I did 1.35/9

The answer I got after dividing the two is 0.15.

Then I multiplied 0.15 by 11 and I got 1.65.

Which value for x makes the sentence true?
2/3x +5=7
A.
-4
B.
18
C. 8
D.
3

Answers

Answer:

Answer is D: 3

Step-by-step explanation:

Please help I need a better grade in this class.

Answers

Answer:

21;13

Step-by-step explanation:

ok so 68/4=17

and length is 4 longer then with so

so length is 17+4 amd with is 17-4

length:21

width:13

PLZZZ HELP ME I DON'T GET THISq

Answers

Answer:

Step-by-step explanation:

To distribute means to multiply everything outside the parenthesis with everything inside the parenthesis, so in this case 7x8 then 7(x) then 7x2 so that is equal to 56 + 7x + 14, so combine the 56+14 so we get 7x + 70.  I hope '7' is part of the problem and not the question number

Answer:

7x + 70

Step-by-step explanation:

As implied in the question, when you use the distributive property you need to distribute the factor outside the parenthesis to the ones inside the parenthesis.

When we look at 7(8+x+2)

You need to multiply all the factors inside the parenthesis by the 7 outside the parenthesis.

to break it down, do

7*8 = 56

7*x = 7x

7*2 = 14

From here, just add 56+14 to get 70 and then write out your answer as 7x + 70.

What is 696 divided by 12 and show your work please

Answers

Answer:

696/12

696/12 math problems division = 58. Therefore 58 to 2 decimal places= 58

696/12 divided by 2 » (696/12) ÷ 2 » 58 ÷ 2 = 29

Step-by-step explanation:

The answer is 58 mark me brainliest

The matrix is used to solve a problem. Which of the following would be a solution to the problem?

Answers

The answer would be c because I know
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