Suppose the weather at Chebyshev Citadel is either sunny or cloudy. A sunny day is followed by a sunny day with probability 0.7, and a cloudy day is followed by a sunny day with probability 0.5. If it is sunny today, what is the probability that it will be sunny 3 days later

Answers

Answer 1

Answer:

0.628

Step-by-step explanation:

From the information given:

Let S represent sunny days and C represent cloudy days;

S is expressed in the matrix to be in the first row and first column

C is expressed in the matrix to be in the second row and second column

Then, the transition for the probability matrix can be computed as follows:

[tex]P = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right][/tex]

[tex]P^2 = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right] \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right][/tex]

[tex]P^2 = \right. \left[\begin{array}{cc}0.49+0.15&0.21+0.15\\0.35+0.25&0.15+0.25\\\end{array}\right] \right.[/tex]

[tex]P^2 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right.[/tex]

[tex]P^3 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right. \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right][/tex]

[tex]P^3 = \right. \left[\begin{array}{cc}0.628&0.372\\0.62&0.38\\\end{array}\right] \right.[/tex]

So, if it is sunny, the probability that it is going to be sunny 3 days later = 0.628

Answer 2

Using the transition of the events, it is found that there is a 0.628 = 62.8% probability that it will be sunny 3 days later.

The transition of events, considering that it is sunny today and we want it to be sunny 3 days later, is given by:

S - S - S - S

S - C - S - S

S - S - C - S

S - C - C - S

Considering the probabilities stated in the exercise(S - S: 0.7, S - C: 0.3, C - S: 0.5, C - C: 0.5), for the last three days, the probability is:

[tex]p = 0.7^3 + 0.3(0.5)(0.7) + 0.7(0.3)(0.5) + 0.3(0.5)(0.5) = 0.628[/tex]

0.628 = 62.8% probability that it will be sunny 3 days later.

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Related Questions

Please help will put brainliest

Answers

Answer:

9[tex]x^{2}y^{6}[/tex]

Step-by-step explanation:

There are three terms that need to be squared in this: -3, x, and y^3.

So, let's square all of them!

(-3) ^2=9

x^2=x^2

(y^3)^2=y^6

The answer   would be 9[tex]x^{2}y^{6}[/tex]

Answer:

9x^2y^6

Step-by-step explanation:

8w - 4 = 28
It's a two step equation

Answers

Answer: w = 4

Step-by-step explanation:

8w - 4 = 28

      +4 = 32

8w = 32

/8       /8

w = 4

Answer:

w = 4

Step-by-step explanation:

Given: 8w - 4 = 28

Add 4 to both sides: 8w = 32

Divide both sides by 8 to isolate w: w = 4

1. If, based on a sample size of 850, a political candidate finds that 458 people would vote for him in a two-person race, what is the 95% confidence interval for his expected proportion of the vote

Answers

Answer:

The 95% confidence interval is

    [tex]0.5055<  p <0.5725[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  850

  The number of can of people that will vote in a two people race is k =  458

Generally the sample proportion is mathematically represented as

        [tex]\^ p = \frac{k}{n}[/tex]

=>     [tex]\^ p = \frac{458}{850}[/tex]

=>     [tex]\^ p = 0.539[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\^ p(1- \^ p)}{n} } [/tex]

=>   [tex]E = 1.96 *  \sqrt{\frac{0.539(1- 0.539)}{850} } [/tex]

=>  [tex] E =  0.0335[/tex]

Generally 95% confidence interval is mathematically represented as  

             [tex]\r p -E <  p <  \r p +E[/tex]

=>          [tex] 0.539 - 0.0335<  p < 0.539 + 0.0335[/tex]

=>          [tex]0.5055<  p <0.5725[/tex]

ANSWER THIS PLS (A.) how is your day (B.) what's your beast threat/roast

Answers

Answer:

Some one called me the b word and I said at least I’m cute dog  you look like a frog

Step-by-step explanation:

Answer:

My day is good, thank you! My best roast for thanksgiving is chicken on top of veggies!

Step-by-step explanation:

The net of a triangular prism is shown.

What is the surface area, in square inches, of the triangular prism?

Answers

Answer:

The surface area would be 198² in.

two apples and 5 bananas cost 4.20
three apples and seven bananas cost 5.95

Answers

what’s the question?

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

y= 4x+12

Step-by-step explanation:

Slope of this line: 4

So we can write in point slop form: y+1= 4(x+3)

Simplify = y+1=4x+12

More simplifying: y=4x+12

This is the answer

there are 5,280 feet in 1 mile if Riley ran 26,400 feet how many miles did she run​

Answers

Answer:

Riley ran 5 miles (26400 / 5280= 5)

Step-by-step explanation:

5280 times 5 equals 26400.

Answer:

5 miles

Step-by-step explanation:

26400/5280=5

Find the sum of 2 1/9 + (-2/9) + 3 5/9​

Answers

Answer:

5 4/9

Step-by-step explanation:

Answer:

Exact Form:

49 /9

Decimal Form:

5. 4   repeating

Mixed Number Form:

5  4 /9

Step-by-step explanation:

solve for b: 8ab=c thanks (:

Answers

Answer:

You must move the a and 8 to the other side of the equation. Just divide both sides by 8a.

B = c \ 8a.. c over 8a

The value for b is c/8a.

What is 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. LHS = RHS is a common mathematical formula.

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:

8ab=c

Now, solving for b

8ab= c

ab= c/8

or, b = c/8a

Hence, the value for b is c/8a.

Learn more about Equation here:

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Simplify 9x-7=-7 txnysvjrznjdnjrvnjdcjufvbhg HELP

Answers

Answer: = 0

Step-by-step explanation:

9 − 7 = − 7 9x-7=-7 9x−7=−7 9 − 7 + 7 = − 7 + 7 9x=0 9 9 = 0 9

Angle KLM and angle MLN are a linear pair.
Ray LR is to be added to the diagram so that it is
opposite ray LM. Which is true about angle RLN that
would be formed?
M
к
CL
N
Angles RLN and MLK would be vertical angles.
Angles RLN and MLN would be vertical angles,
Angles RLN and KLM would be a linear pair.
O Angles RLN and KLN would be a linear pair.

Answers

Answer:

Angles RLN and KLM would be a linear pair.

Angles RLN and MLK would be vertical angles.

Vertical angles are formed when their sides share the same lines. RL shares the same line with LM and NL shares the same line with LK (see the attached diagram), so that means both angles form a vertical pair.

Edge exam 2022

Please help me Study the Venn diagram.
A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers.
Which statement is correct?
–5 cannot be written as a fraction, so it is not rational.
–5 is a rational number, but not an integer.
–5 is a counting number, so it is also a whole number.
–5 is an integer, but not a whole number.

Answers

Answer:

Its a counting number and a whole number so thirdd one

Step-by-step explanation:

Answer:

D-5 is an integer, but not a whole number.

got that right on edge!

Step-by-step explanation:

hope this helps:)

PLEASE HELPPPPP MEEEEEEEE!!!!!! 50 POINTS!!!!!!!!!! PLEASEEEEEEEEEE

Answers

Answer:

1) (2,1)

2) (-2,3)

3) (0,3)

4 (0,1)

5) (-1,-1)

6) (-1,-3)

(2,1) (-2,3) (0,3) (0,1) (-1,-1) (-1,-3) Step-by-step explanation: I just used a graphing calculator, I hope this helps!!

HELP !! It’s due in 30 minutes!!

Answers

Answer:

T< 11,3 > / a translation by 11 units to the right and 3 units up :]

Answer:

11 units to the right & 3 units down.

solve for x explain pls
8+2x+18=x+19

Answers

Answer:

x=-7

Step-by-step explanation:

8+2x+18=x+19

26+2x=x+19

2x-x=19-26

x=-7

The largo middle school track team needs new uniforms. The students plan to sell push you tigers (the school mascot) for $5. The students find three companies online that sell stuffed mascots.

A.which company has the lowest cost per tiger?

B. If they use the company, how much profit will the students make for each tiger sold?

P.s-I REALLY NEED HELP!!!! This question is worth 60 points

Answers

Answer:

Company C has the lowes cost per tiger at $2.74. (Divide the prices by the number of stuffed animals, in this case, $41.10/15)

$2.26 would be their profit.

Step-by-step explanation:

To find how much money they have to pay for each stuffed animal, you have to divide the prices by the number that would be sold. For example, for Company C, it would be $41.10 divided by 15. When you do that with all the companies, you'll find the Company C is the cheapest.

You find their profit by subtracting $2.74 from $5. They sell it for $5, but they did have to use $2.74 to buy the stuffed animals. $5 - $2.74 = $2.26

Hope this helps! ^-^

Company C has the lowest cost per tiger.

Students will make a profit of $2.26 for each tiger sold.

What is division?

The division is the process of dividing a number by a given number.

Note that company A offers 12 tigers for $33.24, therefore, divide 33.24 by 12 to get the cost of one tiger,

Cost of one tiger in company A = $33.24/12 = $2.77

Similarly,

The cost of one tiger in Company B = $44.80/16 = $2.8

The cost of one tiger in Company C = $41.10/15 = $2.74

Clearly, company C has the lowest cost per tiger.

Now, students will buy tigers from Company C for $2.74 per tiger and sell them for $5, therefore, the profit from selling one tiger will be 5-2.74=2.26.

To learn more about division click here:

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Which graph shows an odd function?

Answers

Answer: The correct answer is c

Step-by-step explanation:

Graph C depicts an odd function.

We have the four graphs as shown in the figure.

We have to determine which graph depicts an odd function.

What is an Odd function?

Assume a function f(x), if :  [tex]f(-x) = -f(x)[/tex] i.e., absolute value remains the same if the sign of the independent variable is reversed.

Remember - A function is called even if its graph is symmetrical about the y - axis, odd if its graph is symmetrical about the origin.

It can be seen that - Graph A, Graph B, Graph D are not symmetrical about the origin. Only Graph C - Sine wave is symmetrical about Origin.

Hence, Option C is the graph that depicts the odd function.

To solve more questions on even and odd graphs, visit the link below -

https://brainly.com/question/11604830

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Help pleasee! I need to find the domain and range

Answers

Answer:

Domain: (-∞, -4) U (-4,∞)

range: (0,∞)

I need help with this question ASAP thank you?

Answers

Answer:

D. 3/4

Step-by-step explanation:

In order for the transformed line to be less steep than f(x), it must have an "a" value less than the slope of f(x). The slope of f(x) is 1, therefore, the only number less than 1 is 3/4.

Tammy has 5 pennies. Xavier has 1 nickel. Who has more money? How much more 5 cents? 5 pennies. Show how you know

Answers

Answer:

Tammy, because she has 5 and Xavier has one.

Sorry if this is the wrong answer......

Answer:

Tammy and Xavier has the same amount.

Step-by-step explanation:

Given:

Tammy = 5 pennies (5 ¢)

Xavier = 1 nickel (5 ¢)

Based on the given, they have the same amount of money.

if jeremiah has a course average score between 80 and 89, he will earn a grade of B in his history class. He has four previous exam scores of 69, 78, 81, and 92. The final exam score has twice the weight of each of the other exams. What range of scores on the final exam will earn Jeremiah a B in the course?

Answers

Answer:

The range of scores that can earn Jeremiah a B in the course is 80 - 100

Step-by-step explanation:

Average = total scores/number of exams

For an average of 80, considering the final score has twice the weight of the previous exams;

Note: since the final score has twice the weight of previous exams, it is considered a double score and counted twice

Let the lowest final score for a B grade be y

80 = (69 + 78 + 81 + 92 + 2 * y)/6

80 * 6 = (320 + 2y)

2y = 480 - 320

y = 160/2

y = 80

Let the highest final score for a B grade be z

89 = (69 + 78 + 81 + 92 + 2 * z)/6

89 * 6 = (320 + 2z)

2z = 534 - 320

z = 214/2

z = 107

Since, the highest score in the exam cannot exceed 100,

Therefore, the range of scores that can earn Jeremiah a B in the course is 80 - 100

You are so brainly right now.​

Answers

Answer:

I know right

Step-by-step explanation:

YEAH I GUESS SO WANNA PLAY AMONG US

Please help with question 1 im confused

Answers

Answer:

Subtract 9m from both sides of the equation.

Step-by-step explanation:

Subtract both 9 from each of the sides of the equation(C)

One plane can travel 20 miles per hour faster than another. One of them goes 420 miles in the same time it takes
the other to go 390 miles. What are their speeds?

Answers

Answer:

I think the..............

What is the fraction in decimal form
8/50

Answers

Answer:

it would be 16 because 50 * 2 = 100 and 8 * 2 = 16

Step-by-step explanation:

have a good day hope i helped u today let me know if u need anything for help:)

Answer:

Step-by-step explanation:

Divide the numerator by the denominator. So 8/50=0.16

Find the volume of the region bounded by z=12−y,z=y,y=x2, and y=6−x2. (Use symbolic notation and fractions where needed.)

Answers

Answer:

The volume V of the region = 80

Step-by-step explanation:

The objective is to find the volume of the solid region bounded by z = 12 - y

Given that the portion of solid between the planes z = 12 - y and z = y; over the region R in the xy - plane bounded by y = x² and y = 6 - x²

Thus;  R = { (x,y)/-2 ≤ x ≤ 2, x² ≤ y 6 - x² }

Then the volume is computed as follows:

[tex]V = \int \int_R [(12 -y) -y] \ dy. dx[/tex]

[tex]V = \int^2_{-2} \int ^{6-x^2}_{x^2} (12-2y) \ dy \ dx[/tex]

[tex]V = \int^2_{-2}[ (12y-y^2]^{6-x^2}_{x^2} \ dx[/tex]

[tex]V = \int^2_{-2} \begin {bmatrix}{ 12 [6-x^2-x^2] - [(6-x^2)^2-(x^2)^2] \end {bmatrix} \ dx[/tex]

[tex]V = \int^2_{-2} \begin {bmatrix}{ 12 [6-2x^2] - [36-12x^2]] \end {bmatrix} \ dx[/tex]

[tex]V = \int^2_{-2} \begin {bmatrix}{ 72 -24x^2-36+12x^2 \end {bmatrix} \ dx[/tex]

[tex]V = \int^2_{-2} [36-12x ^2] \ dx[/tex]

[tex]V = \begin {bmatrix} 36x - \dfrac{12x^3}{3}\end {bmatrix}^2_{-2}[/tex]

[tex]V =2 \begin {bmatrix} 72 - \dfrac{96}{3}\end {bmatrix}[/tex]

V = 80

HELP WILL GIVE BRANLIEST AND EXTRA POINTS! Please give an explanation

Answers

Answer:

C. 82/3 is the correct answer

Step-by-step explanation:

A. √27 is incorrect because it is equal to 5.2

B. 5^2 is incorrect because it is equal to 25

D. √602 is incorrect because it is equal to 24.5

soooo...

The only correct answer is C. 82/3 because it equals 27 1/3 or 27.3

Hope this helps!

A bead store buys beads at wholesale prices to sell them at a 75% markup. If a strand of beads costs the store $9.14, what is the selling price for a strand of beads

Answers

Answer:

it would sell for $15.99

Step-by-step explanation:

9.14(1.75) = 15.99

How do you write 1/10 as of 0.5 as a multiplication equation?

Answers

Answer:

1/10+_=.05

Step-by-step explanation:

i think this is correct

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