Consider a car wash that can serve up to two cars. Customers arrive according to a Poisson process of rate per hour. The service time for one car is exponentially distributed with mean I/M: L ever, if during the time a single car is being washel, a new customer arrives, then the car wash employees eually split their time between the cars. This has the effect that the time to finish washing both cars is independent of how much time the employees have already spent washing the first car, and it is exponentially distributed with mean /. Note that when there are cars in the car wash, they both finish at exactly the same time. If there are alrearly twn cars in the auto wash, and a new customer arrive she is blocked and has to go to another car wash. Arsime if there is only one car in the car wash, it is charged at a rate of $a per hour. On the other hand if there are two cars in the car wash, theu cach car is charged Sc per hour. (Fachart carries 2 points) a.) Represent the number of cars in the car wash as a continuous time Markav chain. Draw the transition rate graph and write down the rate matrix and the emekler transition probability matrix R. 1.) Explain why this chain has a unique invariant distribution . Set up a system of equations you solve to find ; you don't need to uctually solve the system. Mols: You may express your answers to the subsequent parts in terms of . c.) What is the long-run fraction of arriving customers that are able to enter the auto wash? d.) What is the expected cost of a customer who arrives to find one other car already in the car wash? c.) What is the expected cost of a customer who arrives to find the car wash empty? f.) What is the long-run average revenue per hour of the car wash? 6) Suppose that at time t=0, there is one car in the car wash, what is the expected time T. the stopping time that the car wash first empties? h.) Supprise that at time I = 0. there is one car in the car wash, let T be the stopping time defined as above. What is the expected revenue accumulated until time 7? 1.) Suppise that at time != 0, there is one car in the car wash, let T be the stopping time delinell as alave. What is the expected number of customers (cais) los due to capacity util time ?? 1.) Consider the case where customers are strategic: if the car wash is empty, a new arriving customer can wait for arrival of a second customer so that they can enter the car wash together. Suppose that ...Ci, are such that a customer who arrives to find the car wash capty incurs a lower cost by following this strategy of waiting rather than entering immediately on arrival. Now what is the long run average revenue per hour of the car wash? (Give an explicit answer in terms of 1941-12.00)

Answers

Answer 1

the long-run average revenue per hour, and the expected time until the car wash empties.

What is the rate at which a single car is charged per hour?

The car wash system can be modeled as a continuous-time Markov chain with states representing the number of cars in the wash. The transition rate graph shows that the system can transition from one state to another based on arrival and service rates. The rate matrix and the embedded transition probability matrix R can be used to analyze the system's behavior.

The system has a unique invariant distribution, which can be found by solving a system of equations. Once the invariant distribution is obtained, several metrics can be calculated, including the long-run fraction of customers who enter the car wash, the expected cost for customers who arrive to find one or two cars in the wash, the long-run average revenue per hour, and the expected time until the car wash empties.

If customers are strategic and prefer to wait for another car to arrive before entering the wash, the long-run average revenue per hour will be different.

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Related Questions

What factor allowed many more African Americans to pursue careers in fields like medicine and law?

Answers

It encouraged African-Americans to become politically active and racially conscious.

the romans were a military society almost from the moment they settled in italy because they:

Answers

The present two-party system dominating political activity in the United States has been in existence since the early 1800s.

The two parties, the Democratic Party and the Republican Party, have evolved over time, but their origins can be traced back to the Federalist Party and the Democratic-Republican Party of the late 18th and early 19th centuries.

The two-party system has remained dominant in American politics due to various factors, including the winner-takes-all electoral system, the historical legacy of the two-party system, and the influence of money in politics.

Third-party and independent candidates have struggled to gain significant traction, largely due to the barriers to entry created by the two-party system. While there have been attempts to create viable third parties, none have been able to break through and challenge the dominance of the Democrats and Republicans.

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How did consumer credit contribute to the Great Depression

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Answer:

From the mouth of a small town banker, this was the nature of consumer credit lending in the period of the Great Depression. They were seen as institutions that 'helped' honest people out of difficult situations at a reasonable rate of interest; not as sources of money for consumer spending.

in paradiso, what was dante attempting to convince the old man to do?

Answers

In paradiso, Dante attempted to convince Peter to test his knowledge and faith.

The elderly man in Dante's "Paradiso" alludes to the apostle Peter who acts as the guardian of Heaven's entrance. Dante tries to persuade Peter to answer a theological question to test his knowledge and faith in Canto XXIV of the Paradiso. Dante seeks Peters approval in order to demonstrate his knowledge of the Christian faith.

He wants to have a conversation that shows off his knowledge and shows that he is prepared to move forward through the heavenly realms. Dante emphasizes his dedication to spiritual development and his desire to achieve a greater level of understanding in his journey through the celestial spheres by talking with Peter and asking for his approval.

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What areas in Eurasia developed advanced civilizations first? What role did geography play in that development?

Answers

Areas like the Indus Valley Civilization (India), Egypt and China developed advanced civilizations first. Yes, geography played an important role. All of these civilizations had large rivers to support agriculture, Indus river in Indus Valley Civilization, Nile river in Egypt and Yellow river in China.

How did the printing press help spread new ideas in Europe?

Answers

During the Renaissance and beyond, the printing press transformed how new ideas were disseminated throughout Europe. Here are a few ways that the printing press aided in the transmission of new ideas and knowledge:

1) Increased Accessibility and Availability: With the invention of the printing press, books and pamphlets could be distributed widely and produced in greater numbers. Knowledge became more available to a wider group of people thanks to this, including academics, businesspeople, and the general public. Ideas that were formerly restricted to a few handwritten documents might now be broadly distributed.

2) Mass Production of Books: Prior to the invention of the printing press, most books were written by hand or copied by scribes, which required a lengthy and laborious procedure. Through the use of movable type, the printing press made it possible to produce books in large quantities. This made it possible to reproduce texts more quickly and effectively, increasing readers' access to and affordability of books.

3) Preservation and Standardization of Ideas: The printing press aided in the standardization of writings and the preservation of ideas. Moving type allowed for the constant production of books, which minimized errors and variations. This contributed to the accurate preservation of concepts and information over time.

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the boston massacre occurred when british soldiers: a. fired on local minutemen guarding an arsenal. b. killed indians who were raiding frontier towns.

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The Boston Massacre was a tragic event that took place in 1770, during which (a) British soldiers fired on a crowd of colonists in Boston, killing several people.

The incident was sparked by tensions between the colonists and the British soldiers, who had been occupying Boston to enforce British laws and regulations. The soldiers had been harassed by the local population, and on the night of the massacre, a group of colonists began throwing snowballs and other objects at a group of soldiers. The soldiers then opened fire, killing several people and injuring others. The incident became a rallying cry for the colonists, who saw it as an example of British oppression and brutality. In conclusion, the correct answer is a, as the British soldiers fired on local minutemen guarding an arsenal during the Boston Massacre.

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true or false: the books of ezekiel and daniel were written from Jerusalem.

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Answer:The Book of Ezekiel is the third of the Latter Prophets in the Tanakh and one of the major ... The visions, and the book, are structured around three themes: (1) Judgment on ... Prophecies against Judah and Jerusalem, chapters 1–24; Prophecies ... the Great Assembly wrote the Book of Ezekiel, based on the prophet's words.

LO-E
lopade
Classify Information
Complete the table with information about the Georgia General Assembly.
Details
House of Representatives
Senate
Qualifications
Length of Term
Election Process
Duties

LO-ElopadeClassify InformationComplete the table with information about the Georgia General Assembly.DetailsHouse

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Answer:The dominant economic systems of the modern era are capitalism and socialism, and there have been many variations of each system across the globe. Countries have switched systems as their rulers and economic fortunes have changed. For example, Russia has been transitioning to a market-based economy since the fall of communism in that region of the world. Vietnam, where the economy was devastated by the Vietnam War, restructured to a state-run economy in response, and more recently has been moving toward a socialist-style market economy. In the past, other economic systems reflected the societies that formed them. Many of these earlier systems lasted centuries. These changes in economies raise many questions for sociologists. What are these older economic systems? How did they develop? Why did they fade away? What are the similarities and differences between older economic systems and modern ones?

Explanation:egd

how many dum presidents do we have

Answers

Answer:

i dont know what you mean by dum but in terms of idiot presidents we have a lot also a lot of messed up president but to give  general idea about 60%

so more like 30 or so presidents are dum and may have helped the growth of the country but have also messed it up in ways

Explanation:

How were federal employees impacted by the program?

Answers

According to the Pendleton Act, positions in the federal government must be given based on qualifications, and candidates for these positions must pass competitive exams.

The Pendleton Act, commonly referred to as the Civil Service Act, is a piece of federal legislation that was approved in 1883 and which established the United States Civil Service Commission and reforms the civil service.

The act made it illegal to remove or demote some federal government workers for political reasons and required that some government employees be chosen through competitive exams rather than connections to politicians.

As a result, the significance of the federal employees impacted by the program are the aforementioned.

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What impact did World War One have on the economy and the lives of people?

Answers

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The Economic Impact of World War I

World War I sped up American industrial production, leading to an economic boom throughout the 'Roaring Twenties. ' While the war was a devastating experience for France and the United Kingdom, these countries were able to recover economically without too much difficulty.

The Political Impact of World War I

There is a lot that can be said of the political effects of World War I, so we'll try to focus on the highlights. This will be rather 'rapid-fire' in terms of content, so hang on tight. Here we go.

There is a lot that can be said of the political effects of World War I, so we'll try to focus on the highlights. This will be rather 'rapid-fire' in terms of content, so hang on tight. Here we go.Under the Treaty of Versailles, Germany was required to make significant territorial concessions. These were primarily along its eastern and western borders. Probably the most important concession was the ceding of Alsace-Lorraine to France. This area had been the subject of dispute between France and Germany for a long time. This area bordering the two countries had been ceded to Germany following its victory in the Franco-Prussian War in 1871.For decades afterwards, France wanted it back. Emerging as victorious powers in World War I, France and Great Britain jointly controlled Saarland for a period of fifteen years. Other parts of Germany were given to the newly independent country of Poland and to Denmark.

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What was the primary guiding principle of carter’s foreign policy during his early years in office?.

Answers

President Carter emphasized human rights as a guiding principle of his foreign policy during his early years in the office.

Jimmy Carter, the 39th president of the United States is a great advocate of Human rights and a believer of self determination for all people. He believes that the United States should be the leader in promoting universal human rights and therefore designed a foreign policy centered around human rights, believing that every country should treat its citizen with dignity, President Jimmy Carter would conduct and maintain good international relations with countries that shares the same beliefs about human rights, while his foreign policy resulted in the United States to strongly opposed countries who oppressed and violated human rights much like the Soviet Union and most Eastern European countries.

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How did Hillary Clinton contribute to, or benefit from, the 19th amendment?

Answers

Answer:

Congress passes the 19th Amendment, giving women the right to vote. This means Hilary Clinton got more votes than she would have if the 19th Ammendment wasn't passed.

Explanation:

Read the poem below and review the “Three House Story” on the next page. Both set the stage for Costa’s Levels of Questioning.

Complete the table below by writing Level 1 questions as a class based on the content that you are currently studying. Then write Level 2 and 3 questions that correspond to each Level 1 question.

Need help.

Answers

Following the stages of Costa's level of questioning, below are Level 2 and 3 questioning for the exercise on Cinderella;

Question 2

Level 1:  Who is the person that grants Cinderella her wish of attending the ball?

Lv 2: "What is the significance of the person who grants Cinderella's wish to attend the ball in the story?"

Lv 3: "In what ways does the person who grants Cinderella's wish to attend the ball contribute to the development of the themes and motifs in the story?"

Question 3

Lv1: What was Cinderella’s coach made out of?

Lv2: "What is the symbolism behind Cinderella's coach being made out of that specific material in the story?"

Lv3: What literary techniques are used to symbolize the transformation of Cinderella's coach and how does this contribute to the overall theme of the story?"

Question 4

Lv1: What happened at midnight?

Lv2: how does the event of "midnight" affect the interaction between Cinderella and the prince?

Lv3: What deeper meaning or lesson is the author trying to convey to young people looking at the event that happened at midnight in Cinderella?

Question 5

Lv1: Who found Cinderella’s glass slipper?

Lv2: Analyze the significance of the glass slipper and how does it relate to the themes of the story.

Lv3: Do you think the choice of a glass slipper reflect societal attitudes towards gender and gender roles?

Question 6:

Lv1: After Cinderella and the prince were married, how did they live?

Lv2: What are the challenges and opportunities that Cinderella will experience as a princess?

Lv3: Pretend that you were Cinderella, how would you want your marriage to be?

What is Costa's Level of questioning all about?

Costa's level of questioning refers to a framework for questioning developed by Arthur Costa, an educational consultant and author. The framework categorizes questions into three levels:

Lower-level questions, which focus on recalling facts and information, and require little critical thinking or analysis.Mid-level questions, which require students to make connections and apply their knowledge in new situations.Higher-level questions, which require students to analyze, evaluate and create new knowledge, and encourage critical thinking.

The goal of Costa's level of questioning is to promote deeper thinking and understanding by moving students through the levels of questioning.

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Where did the capital move to during the decline of rome?

Answers

Answer:

the capital was moved to Ravenna

Explanation:

Why was ancient Egyptian society structured like a pyramid?​

Answers

Answer:

it had different levels. the lower levels of a pyramid were bigger and the upper levels were smaller, much like the different social classes.

What was the idea of eugenics

Answers

The idea of eugenics was that of “selective breeding” amongst humans which focuses on weeding out “undesirable” qualities within mankind. In history, scientists attempting to alter gene pools with eugenics have excluded groups deemed as less than or inferior and nurtured up groups they thought of as superior.

(Some history)

Unfortunately, in eugenics (United States) the victims of eugenics were frequently disabled, impoverished, ill (mentally), people of color, and women. (Although men did fall subject to sterilization, disproportionately it affected women of color (Natives, Blacks, Hispanics, etc)


Note: this is likely why eugenics is associated with racist/discriminatory movements. There was other eugenic events like Nazi eugenics that contributed as well.

Conclusion: the idea of eugenics is to breed/weed out undesirable (genetic) traits

Apologies if anything is incorrect.

When colonists first arrived in North America, what did they have to learn to survive? A new language A new song How to bake bread How to live off the land

Answers

Answer:

How to live off the land

Explanation:

A new language wasn't really a survival skill because they talked English amongst themselves. A new song would be considered entertainment rather than a need. How to bake bread... if I didn't think that it was D so strongly than I would said; as it is, they probably already knew how to bake bread from back in England. Living off the land would mean that the colonists would have to grow accoustoumed to the new agriculture, food, and methods of preparing them.

How did the mechanization of agriculture affect food prices? A. More farmers were able to compete, and prices rose
B. It was easier to produce more food, and prices fell
C. Mechanized agriculture did not affect prices
D. Better quality food was produced, and prices rose​

Answers

Answer:B It was easier to produce more food, and prices fell

Explanation:

Drag each tile to the correct category.
Determine whether the following descriptions describe Patriots or Loyalists.
favored independence from
British rule
opposed independence from
British rule
believed that independence
would boost economic growth
believed that the British
government would protect
their rights
Patriots
Loyalists

Drag each tile to the correct category.Determine whether the following descriptions describe Patriots

Answers

Patriots:

-Favored Independence

-believed Independence would boost economic growth

Loyalists:

-Oppised Independence

-Believed the British would protect their rights

Answer:

View the picture please! Hope this helps!

Drag each tile to the correct category.Determine whether the following descriptions describe Patriots

Who was more important in the ending of the cold war gorbachev and reagan

Answers

Answer:

Gorbachev

Explanation:

Gorbachev is more important in the ending of the cold war because of the following reason which includes:

1. Gorbachev is the fourth leader during Regan's Presidency and he is the one that initiated the truce.

2. Gorbachev declared openly unilateral criteria to reduce the country’s armed forces by 500,000 soldiers and soldiers from Eastern Europe

3. He also claimed in the UN in December 1988 that Russian under his leadership will not be using an international class struggle.

Many countries that are now constitutional monarchies evolved from governments that were once considered absolute monarchies.
O True
O False

Answers

Answer:

true

Explanation:

Today constitutional monarchies are mostly associated with Western European countries such as the United Kingdom, Netherlands, Belgium, Norway, Denmark, Spain, Luxembourg, Monaco, Liechtenstein, and Sweden. However, the two most populous constitutional monarchies in the world are in Asia: Japan and Thailand.


What is suffrage?
A. Freedom for slaves
B. The right to run for office
C. The right to vote
D. A political party

Answers

The right to vote Answer C
The right to vote

Hope this helps :))

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When the war for Mexican independence began in 1810, the area of Texas was
A)
part of Spain.
B)
part of Mexico
c
part of France.
D
part of the United States.

Answers

Answer:

A) Texas was  part of Spain.

Explanation:

In 1810, the initial revolt called for by the Mexican Priest Miguel Hidalgo y Costilla, occurred after the Cry of Dolores (Grito de Dolores), and occurred in the city of Dolores, Mexico. This was in the province of Guantano and was more centered in Central Mexico. At the time of the 1810 Texas was under Spain's Control still.  

sumerian and later ancient near eastern art in mesopotamia featured: a. cylindrical forms b. metamorphosis between animals and humans c. large staring eyes d. all of the above

Answers

Sumerian and later ancient near eastern art in Mesopotamia featured metamorphosis between animals and humans, large staring eyes. They also used cylindrical seals. So, option D is correct.

The art of the Ancient Near East was built upon and inspired by that of the Sumerians. One of the first written scripts in history was created by the Sumerians, who are also credited with creating cuneiform.

Despite the fact that the art of the Ancient Near East differs depending on the era and region of origin, there are a few key traits that stand out:

1) The human-divine interaction is frequently the subject of ancient Near Eastern art. A large portion of it has a religious theme and is made to be used in religious ceremonies or to worship the gods.

2) Political content can be found in ancient Near Eastern art. It was a means by which rulers displayed their authority and status.

3) In Ancient Near Eastern art, technical proficiency and artistic method are more significant than creativity. More than their creativity, artists aspired to display their skill.

4) Animals appeared prominently in ancient Near Eastern art. They are realistically depicted, but they frequently serve as symbols for abstract ideas like power, fertility, sovereignty, and divinity.

5) In ancient Near Eastern art, human figures are more idealistic than realistic. Rulers in particular are portrayed symbolically to highlight their intelligence, fortitude, and power.

6) A significant form of ancient Near Eastern art is relief carving. The smallest cylinder seal to the biggest palace wall are both covered in reliefs, which are sculptures that protrude from a flat surface and resemble 3D images.

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help plzzzz
:( ;( ;( ​

help plzzzz:( ;( ;(

Answers

the answer is A.  There were changes in economy and social things.

It's the period of celebration after WW1

What does Ahab symbolize?

Answers

Ahab is a symbol of the destructive nature of man.

please help me :( it's very overdue

please help me :( it's very overdue

Answers

Answer: 1. Richard Henry Lee 2. Roger Sherman 3. Self evident 4. Endowed 5. Unalienable 6. Pursuit

Explanation:

Answer:

Do you have ignita? because that looks like what I have and I have ignita. I found a hack on ignita so right click and click inspect elements, then find there its say "Auto-correct: off" then make then on then click on the word box and you got a free answer :)

Answer: 1. Richard Henry Lee 2. Roger Sherman 3. Self evident 4. Endowed 5. Unalienable 6. Pursuit

Explanation:

"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)

Also Happy Halloween!

Drag each tile to the correct location match each detail of colonization to the correct colony Jamestown Pennsylvania Plymouth​?

Answers

Both Plymouth and Jamestown experienced poverty, a high mortality rate, and hostile and challenging circumstances. They struggled greatly in the early years to establish a home and find a trustworthy food source.

What happened in Jamestown and Plymouth?

At a place they called Jamestown, 104 men who had sailed on the Susan Constant, Godspeed, and Discovery arrived in Virginia in 1607. This was the site of the original English settlement in the New World. Thirteen years later, 102 Mayflower settlers made their way to Plymouth, Massachusetts.

Economic factors led to the colonisation of Virginia. The Virginia Company, based in London and established in 1606, provided assistance to the Virginia Colony. The business's founders wanted to expand trade with England and the market for their manufactured goods. They naturally anticipated financial gain from their investment in the company's stock.

The Pilgrims moved to Holland because there was more religious freedom there after fleeing religious persecution in England. However, after some time, the Pilgrims started to worry that their children were losing their English heritage and were being corrupted by the liberal Dutch culture. After learning about the English Colony in Virginia, they were motivated to leave Holland and settle in the New World.

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pls help me worth 20 pionts Is it possible to have an iron-carbon alloy for which the mass fractions of total ferrite and proeutectoid cementite are 0.846 and 0.049, respectively? Why or why not? batteries need group of answer choices material to conduct charges between the electrodes. two electrodes made of different materials. activation energy to work. material to resist charges between the electrodes. two electrodes made of the same material. an electrical outlet to work. Contessa is solving an absolute value inequality. She writes the compound inequality as her first step. Which inequality is Contessa solving? a little girl at the local elementary school is writing symphonies for full orchestra at age 7. youre curious to know the childs personality and other psychological qualities. which type of study would you conduct? ADVANCED MATHEMATICIANS ONLYBrianiest for first answerLike for first answer5 star for first answer A rectangular figure that represents a flag. The rectangle is divided into two horizontal lines. The first horizontal line is drawn dividing the rectangle in half and the top half is shaded yellow. The second horizontal line is drawn halfway between the first horizontal line and the base of the rectangle. The middle section is shaded blue and the bottom section is shaded red.The top stripe is 2 ft tall and is yellow.The middle stripe is 1 ft tall and is blue.The bottom stripe is also 1 ft tall and is red. what would the flag look like if it was on a 1cm and 2ft scale what would the flag look like if it was on a 2cm and 1ft scale why do most measurement control situations include a r-chart along with the x-bar chart? group of answer choices it is important to measure and understand variability within a sample along with the sample averages. the r-chart is another way of measuring x-bar, so this turns out to be an extra check on the control of the sample averages. the r-chart is easier to calculate, so it is a way to be sure the worker doesn't make a mistake. the ups and downs of the x-bar chart should exactly match the ups and downs of the r-chart; if not, the process is out of control. none of the above is a correct answer. pls tell me i will give brainliest The following table provides a probability distribution for therandom variable y.yf(y)10.2050.3060.4090.10(a)Compute E(y). If required, round your answerto one decimal p A 70-year-old female was seen in her physician's office for ongoing management of several medical conditions. the patient has congestive heart failure, as a result of hypertension and chronic kidney disease, stage 2, and longstanding type 2 diabetes with polyneuropathy. her main reason for being at the physician's office today is to renew medication for her heart failure. the side wall of a dam with width 70 m is a quarter circle with radius of 7 m. when the dam is full, calculate the hydrostatic force on the dam in n and its line of action. for many students of persuasion, the most interesting cue on the peripheral route is: what s the length of the arc for the half circle Suppose 3.62g of barium nitrate is dissolved in 350. mL of a 71.0mM aqueous solution of sodium chromate. Calculate the final molarity of barium cation in the solution. You can assume the volume of the solution doesn't change when the barium nitrate is dissolved in it. Round your answer to 3 significant digits.Solving limiting reactant problems in solution Suppose 3.62 g of barium nitrate is dissolved in 350 mL of a 71.0 m M aqueous solution of sodium chromate. Calculate the final molarity of barium cation in the solution. You can assume the volume of the solution doesn't change when the barium nitrate is dissolved in it. Round your answer to 3 significant digits. OM 5 2 ? Explanation Check Is timing important for innovation? the probability of randomly drawing a green marble out of a bag of gree, red, and blue marbles is 3/5. what is the probability of randomly drawing a red or blue marble How impactful were product discounts on customer questions? Round each measurement to three significant figures. Write your answers in scientific notation.a. 8758.073 metersb. 435,200,000c. 0.001552 meterd. 0.009009 meterse. 177,888 metersf. 629.55 meters Amy and Bill are fixing up their house by painting walls and installing electrical outlets. In one hour, Amy can paint 8 walls, or install 6 outlets. In one hour, Bill can paint 5 walls, or install 5 outletsRequired:a. If Amy painted 8 walls in the first hour of work, and then switched to doing 6 outlets in the second hour of work, what was the opportunity cost of each of those outlets?b. If Bill painted 5 walls in the first hour of work, and then switched to doing 5 outlets in the second hour of work, what was the opportunity cost of each of those outlets?