A student takes the same street from his home to the university every day. There are 3 streetlights along the way, and he has noticed the following Markov dependence. If he sees a green light at an intersection, then 77% of time the next light is also green. However, if he sees a red light, then 77% of time the next light is also red. (Assume the chance of him seeing a yellow light is zero.) If the first light is green, what is the probability that the third light is red

Answers

Answer 1

Answer:

0.3542 = 35.42% probability that the third light is red

Step-by-step explanation:

For each light:

If it is green, 77% probability that the next is green.

If it is red, 77% probability that the next is red.

If the first light is green, what is the probability that the third light is red?

These following outcomes are desired, for the second and third lights:

G - R(0.77, then 1 - 0.77 = 0.23 probability)

R - R(0.23, then 0.77 probability).

So the desired probability is:

[tex]p = 0.77*0.23 + 0.23*0.77 = 0.3542[/tex]

0.3542 = 35.42% probability that the third light is red


Related Questions

what do entertainment, utilities, and reserves have in common?

Answers

Answer:

these are some factors need to have a business

hope this helps

have a good day :)

Step-by-step explanation:

Which of the following rational functions is graphed below?

Answers

Answer:

[tex]A = \frac{1}{(x-1)(x+1)}[/tex]

Step-by-step explanation:

Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.

A discontinuity in a rational function is a point in which the denominator of the function is 0.

For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:

[tex]A = \frac{1}{(x-1)(x+1)}[/tex]

If m\angle A=(6x+10)^{\circ}∠A=(6x+10) ∘ and m\angle B=(4x+30)^{\circ}∠B=(4x+30) ∘ , then find the measure of \angle B∠B.​

Answers

A=6 × + 10=88555%__/455

What is the average rate of change for the function f(x) = 3x2 – 5 on the interval –3 < x < -1​

Answers

Answer:

Algebra Examples

Popular Problems Algebra Graph f(x)=3x^2-5

f

(

x

)

=

3

x

2

5

Find the properties of the given parabola.

Tap for more steps...

Direction: Opens Up

Vertex:  

(

0

,

5

)

Focus:  

(

0

,

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

61

12

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

2

7

1

2

0

5

1

2

2

7

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

0

,

5

)

Focus:  

(

0

,

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

61

12

x

y

2

7

1

2

0

5

1

2

2

7

image of graph

Step-by-step explanation:

A rectangle is 32 meters long and 4 meters wide. Which equation represents the area (A) of the rectangle?

A= 32 x 4
32= A x 4
32= (4x A) x 4
A=( 2x4) + (2x32)

Answers

I think the answer is A. Because, 32 * 4, you would have to find the answer (A) so 32 * 4 = A.

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that sixteen adults in the United States are selected randomly. What is the probability that three or less of the selected adults have saved nothing for retirement

Answers

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that [tex]p = 0.2[/tex]

Suppose that sixteen adults in the United States are selected randomly.

This means that [tex]n = 16[/tex]

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]

[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]

[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]

[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

evaluate the expression when b= 2 and c = 12



Answers

9 is your answer.

6+3 is 9. You added these two because a=3.

Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. This week he sold a car for $35,450.

A) How much commission did he earn this week?

B) What did he earn in TOTAL this week?

Answers

Answer:

Be quiet you nerd

Step-by-step explanation:

Estimate 719 – 274. Round each number first.

Answers

☁️Answer☁️

719 rounded up equals 720
274 rounded down equals 270

720-270= 450

6^2x+2.6^3x=1 solve x=

Answers

Answer:

Step-by-step explanation:

if it is  [tex]6^{2}x+ 2.6^{3}[/tex]x = 1  

36x+17.576x = 1

53.576x = 1

x = 1 / 53.576

x = 1 /  [tex]\frac{6697}{125}[/tex]

x = [tex]\frac{125}{6697}[/tex]

or is it

6[tex]x^{2}[/tex] + 2.6[tex]x^{3}[/tex]=1      ?

Answer:

This is what I got.

Step-by-step explanation:

What is on the HANNA ORLEANS ALGEBRA 1 (7th for 8th) PLACEMENT TEST GUIDE?

Answers

Answer:

17

Step-by-step explanation:

ifhrFj,iyjgztizzkyraykeLyrgodyyixynj

Select THREE equivalent expressions that show how you could factor 16x-48

2(8x-24)

4(4x-12)

2(8x-48)

16(X-3)

X(16+3)​

Answers

2(8x-24)

4(4x-12)

16(x-3)

what choices are solutions for equation x^2-3x = -5/4

Answers

Here's the solution,

=》

[tex] {x}^{2} - 3x = - \dfrac{5}{4} [/tex]

=》

[tex] {x}^{2} - 3x + \dfrac{5}{4} = 0[/tex]

now, let's multiply the whole equation with 4

=》

[tex]4 {x}^{2} - 12x + 5 = 0[/tex]

=》

[tex]4 {x}^{2} - 10x - 2x + 5= 0[/tex]

=》

[tex]2x(2x - 5) - 1(2x - 5) = 0[/tex]

=》

[tex](2x - 1)(2x - 5) = 0[/tex]

so,

Case 1. where, 2x - 5 = 0

=》

[tex]x = \dfrac{5}{2} [/tex]

case 2. where, 2x - 1 = 0

=》

[tex]x = \dfrac{1}{2} [/tex]

Help
This is trigonometry

take it seriously, karma exists
I can help you too
I just wanna know if the result is 10.0 rounded to the nearest tenth
I used Sin
Please correct me

Answers

Answer:

Yes, your solution is correct

Step-by-step explanation:

sine = opposite leg / hypotenusesin 51° = √61 / WYWY = √61 / sin 51°WY = 10.0499134825 ≈ 10.0

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility. y = e^(x-1), y=0, x=1, x=2

Answers

Answer:

the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;

[tex]\frac{\pi }{2} [e^2 - 1 ][/tex]  or 10.036

Step-by-step explanation:

Given the data in the question;

y = [tex]y = e^{(x - 1 )[/tex], y = 0, x = 1, x = 2.

Now, using the integration capabilities of a graphing utility

y = [tex]y = e_2}^{(x - 1 )_[/tex], y = 0

Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2} - (0)^2 dx[/tex]

Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2 dx[/tex]

Volume = [tex]\pi \int\limits^2_1 e^{2x-2}dx[/tex]

Volume = [tex]\frac{\pi }{e^2} \int\limits^2_1 e^{2x}dx[/tex]

Volume = [tex]\frac{\pi }{e^2} [\frac{e^{2x}}{2}]^2_1[/tex]

Volume = [tex]\frac{\pi }{2e^2} [e^4 - e^2 ][/tex]  

Volume = [tex]\frac{\pi }{2} [e^2 - 1 ][/tex]  or 10.036

Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;

[tex]\frac{\pi }{2} [e^2 - 1 ][/tex]  or 10.036

   

somebody please help me i’ve been stuck on this for an hour...it’s a maze work sheet so it’s one of the fractions.

Answers

Answer:

The probability is 2/11 or 7/95. I don't know if this is the correct answer but  I  am guessing it is.

Step-by-step explanation:

Hope this helps you :)

Answer:

Probability for first letter to be a vowel is 5/11. When you take it out you’re left with 10 overall letters and 4 more vowels so the probability that the second letter is a vowel is 4/10 if you already took a vowel in the first take.

Probability for your occurence is (5/11)*(4/10)=20/110=2/11

For a quadrilateral to be a rhombus, the diagonals ______________ and ______________.

first blank choices:
must be congruent
must not be congruent
can be congruent or not congruent

second blank choices:
must be perpendicular
must not be perpendicular
can be perpendicular or not perpendicular

Answers

9514 1404 393

Answer:

can be congruent or not congruentmust be perpendicular

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other. If they are congruent, the rhombus is a square.

Your blanks can be filled with ...

can be congruent or not congruentmust be perpendicular

We would like to point out that these descriptors also apply to a kite. The figure will only be a rhombus if the diagonals bisect each other (as for any parallelogram).

Indicate the effect each separate transaction has on investing cash flows. (Amounts to be deducted should be indicated with a minus sign.) Sold a truck costing $45,500, with $24,200 of accumulated depreciation, for $10,200 cash. The sale results in a $11,100 loss. Sold a machine costing $12,800, with $9,100 of accumulated depreciation, for $7,200 cash. The sale results in a $3,500 gain. Purchased stock investments for $17,100 cash. The purchaser believes the stock is worth at least $32,200.

Answers

$4,000 just because

Answer:

the answer is 4000$ i hope that helps

What is the answer to Wednesday's Warm-up??????

Answers

Answer:

16

Step-by-step explanation:

Answer:

h = 16

Step-by-step explanation:

Ratios:

[tex]\frac{h}{24} =\frac{4}{6} \\\\6h=96\\h=16[/tex]

CE and FH are parallel lines.

Which angles are supplementary angles?

Answers

Answer:

<CDG and <CDB are supplementary angles.

Answer:

hff

Step-by-step explanation:

< CDG and <CDB are supplementary angles.

msm555 is correct

hope it is helpful to you ☺️☺️☺️

can u solve it please.​

Answers

Answer:

No I'm doing this for a quest

Step-by-step explanation:

Hope you find the answer though

Which of the following represents a geometric sequence?
I 1/4,1/4,1/4,1/4
II 1/4,1/5,1/6,1/7
III 1/4,1,-4,16
IV 1/4,-4,1/4,-4

OOOO

A. I
B. II
C. III
D. IV
Next
Save and Exit

Answers

The answer is IV because I took the test

Answer:

A. I

Step-by-step explanation:

The other person is wrong and I took the test

If you spin this spinner 30 times, how many times would you expect to get not get yellow?

Answers

It would be a 1/5 chance so maybe 10

Ron has 17 coins with a total value of $2.75. The coins are dimes (10 cents) and quarters (25 cents). How many of each coin does he have?

Ron has ___dimes and ___ quarters.

Answers

Answer:Ron has 5 dimes and 9 quarters

Step-by-step explanation:

Lets try 9 quarters,

9x25= 225

275-225=50

50/10(Dime value)

5, Ron has 5 dimes and 9 quarters

A candle shop owner collected data on customers’ favorite scents, as shown in the table.
Lavender 0.31
Vanilla 0.18
Cinnamon 0.23
Floral ?
Coconut ?

A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same, what is the value of the missing probabilities?

0.10
0.14
0.20
0.28

Answers

Answer:

Step-by-step explanation:

It's 14

The missing probabilities for Floral and Coconut are both 0.14.

To find the missing probabilities for Floral and Coconut, we need to consider that the sum of all probabilities must equal 1.

Let's calculate the missing probabilities:

The sum of the given probabilities is:

0.31 + 0.18 + 0.23 = 0.72

Since the sum of all probabilities must equal 1, we subtract the sum of the given probabilities from 1 to find the remaining probability:

1 - 0.72 = 0.28

Since the probability of Floral and Coconut is the same, we divide the remaining probability equally between the two scents:

0.28 / 2 = 0.14

Therefore, the missing probabilities for Floral and Coconut are both 0.14.

To know more about probabilities click here:

https://brainly.com/question/30881224

#SPJ2

Help me with questions 14 and 15! I will give brainliest!!

Answers

Answer:

14=9-11

15= 82.2%

Step-by-step explanation:

23/28=0.8214

7 1/8 - 3 5/8 plz help me on this math

Answers

Answer:

7/2 or 3 1/2

Step-by-step explanation:

What is the average rate of change for f(x) = 2x - 4 over the interval 2 Sxs 6?
A)
8
B)
10
C)
15
D)
18

Answers

Answer:

8 i think i hope it helps

good night


Here are four fractions. Write them small to large
2/3
3/5
5/8
7/11

Answers

Answer:

1. 3/5 2. 5/8 3. 7/11 4. 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are four fractions. Write them small to large 2/3 3/5 5/8 7/11

11+11 = 22

Which is the graph of f(x) = 100(0.7)?

Answers

Answer:

f(x) = y = 70

Step-by-step explanationsince

since 100 · 0.7 = 70

      f(x) = y = 70

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

Other Questions
Maya keeps her bolts in a large box in her garage. The total number of bolts in the box, f(x), is determined by the number of models (x) that she builds. The graph below shows that this relationship is a linear function. Which of the following would be the largest possible value in the domain of Mayas function?4101112 Sunland Company uses the FIFO method for internal reporting purposes and LIFO for external reporting purposes. The balance in the LIFO Reserve account at the end of 2020 was $277000. The balance in the same account at the end of 2021 is $419000. Sunlands Cost of Goods Sold account has a balance of $2110000 from sales transactions recorded during the year. What amount should Sunland report as Cost of Goods Sold in the 2021 income statement? convert 15 into quinary number system Which of the following is NOT listed on a balance sheet?Question 16 options:CapitalLiabilitiesRevenueAssets What type of figurative language is a slender beak as weak as a needle1. Hyperbole2. Metaphor3. Personification4. SimileI think its metaphor I am not sure though How many grams are in 1.52 moles of PC13? (molar mass: 137.33 g/mol) Suzanne folded 11 towels. If Allison folded 5 times as many towels as Suzanne, which number sentence shows how many towels Allison folded? A. 5 5 = 25 B. 11 + 5 = 16 C. 11 11 = 121 D. 5 11 = 55 You are sitting around the fire at a lodge in Dillingham, Alaska, discussing a fishing expedition you are planning with your colleagues at Great Alaska Adventures (GAA). Earlier in the day you received a fax from the president of BlueNote, Inc. The president wants to reward her top management team by taking them on an all-expense-paid fly-fishing adventure in Alaska. She would like GAA to organize and lead the expedition.You have just finished a preliminary scope statement for the project (see below).You are now brainstorming potential risks associated with the project.1. Brainstorm potential risks associated with this project. Try to come up with at least five different risks.2. Use a risk assessment form similar to Figure 7.6 to analyze identified risks.3. Develop a risk response matrix similar to Figure 7.8 to outline how you would deal with each of the risks.PROJECT SCOPE STATEMENTPROJECT OBJECTIVETo organize and lead a five-day fly-fishing expedition down the Tikchik River system in Alaska from June 21 to 25 at a cost not to exceed $35,000.DELIVERABLES Provide air transportation from Dillingham, Alaska, to Camp I and from Camp II back to Dillingham. Provide river transportation consisting of two eight-man drift boats with outboard motors. Provide three meals a day for the five days spent on the river. Provide four hours fly-fishing instruction. Provide overnight accommodations at the Dillingham lodge plus three fourman tents with cots, bedding, and lanterns. Provide four experienced river guides who are also fly fishermen. Provide fishing licenses for all guests.MILESTONES1. Contract signed January 22.2. Guests arrive in Dillingham June 20.3. Depart by plane to Base Camp I June 21.4. Depart by plane from Base Camp II to Dillingham June 25.TECHNICAL REQUIREMENTS1. Fly in air transportation to and from base camps.2. Boat transportation within the Tikchik River system.3. Digital cellular communication devices.4. Camps and fishing conform to state of Alaska requirements.LIMITS AND EXCLUSIONS1. Guests are responsible for travel arrangements to and from Dillingham, Alaska.2. Guests are responsible for their own fly-fishing equipment and clothing.3. Local air transportation to and from base camps will be outsourced.4. Tour guides are not responsible for the number of King Salmon caught by guests.CUSTOMER REVIEWThe president of BlueNote, Inc. Please help I beg you, I will pay too Do you think standardized testing to measure the effects of the pandemic is unnecessary or even actively harmful this year or, do you think schools need to administer those tests to see where students stand A student learns that glaciers can form U-shaped valleys on Earths surface. Which geoscience process takes MORE time to shape Earths surface than it takes a glacier to form a valley? * A an earthquake that shifts rock layers, changing the course of a stream b a collision of two tectonic plates that lifts up rock layers forming a mountain range c a landslide that removes part of a hillside d a volcanic eruption that lays down a layer of a molten rock that hardens pls answer DeLong Corporation was organized on January 1, 2017. It is authorized to issue 13,000 shares of 8%, $100 par value preferred stock, and 526,000 shares of no-par common stock with a stated value of $3 per share. The following stock transactions were completed during the first year.Jan. 10 Issued 84,500 shares of common stock for cash at $6 per share.Mar. 1 Issued 5,150 shares of preferred stock for cash at $105 per share.Apr. 1 Issued 24,000 shares of common stock for land. The asking price of the land was $91,000. The fair value of the land was $80,500.May 1 Issued 83,500 shares of common stock for cash at $4.75 per share.Aug. 1 Issued 11,000 shares of common stock to attorneys in payment of their bill of $38,500 for services performed in helping the company organize.Sept. 1 Issued 12,000 shares of common stock for cash at $7 per share.Nov. 1 Issued 2,000 shares of preferred stock for cash at $109 per share.Journalize the transactions. (Record journal entries in the order presented in the problem.)Journalize Common and Preferred Stock TransactionsWhen most businesses are first organized or established, they include what is called Articles of Incorporation which are filed with the Secretary of State of the state in which the business is incorporated. These Articles specify the capital structure of the corporation, including preferred stock and how many shares of preferred stock may be issued and the par value of each share of preferred stock. These Articles also specify the number of common shares which the corporation may issue, and either the par value, no-par value, or the stated value per share of common stock. Pls help !!!! In this excerpt from the Emancipation Proclamation, which phrase or sentence supports the claim that President Lincoln did not want the slaves to take up arms against their former masters? The downward force acting on an object in free fall is the force of ___________ I need help please hurry! Find the zero of the function f(x)=0.8e^2x -9. Round to the nearest hundredth. factor completely;6x^2-37x-35 How do you know when you can trust someone? What does trusting somebody mean? Hey, please could someone help :) The goalie on the Iceblades hockey team saves (blocks) 73% of the opponent's shots. With 10 minutes to go, the Iceblades are ahead by one goal, and they will win if the other team does not score.The other team takes 5 shots in the final 10 minutes. The Iceblades do not score any more goals.The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.Answer the questions to estimate the probability that the Iceblades will win the game.1. The paired digits 00 to 99 represent 100 shots.Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.Write your answer in the space below.2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.For a group to be a success, how many of the 5 shots does the goalie need to save?Write your answer in the space below.3. Group 1 is a success. Explain why.Write your answer in the space below.4. In this simulation, which groups are successes? How many successes are there in the 10 groups?Write your answer in the space below.5. Estimate the probability the Iceblades will win the game. Give your answer as a percent.Write your answer in the space below. Crane Company estimates that variable costs will be 55.00% of sales, and fixed costs will total $702,000. The selling price of the product is $4. (a) Compute the break-even point in (1) units and (2) dollars. (1) Break-even sales units (2) Break-even sales $ (c) Assuming actual sales are $2,000,000, compute the margin of safety in (1) dollars and (2) as a ratio. (1) Margin of safety $ (2) Margin of safety ratio %