A box contains 85 balls numbered from 1 to 85. If 8 balls are drawn with replacement, what is the probability that at least two of them have the same number

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Answer 1

The probability that at least two of the eight balls drawn have the same number is 1 - 0.422 = 0.578, or approximately 57.8%.

To calculate the probability that at least two balls drawn have the same number, we can first calculate the probability that all eight balls have different numbers and then subtract that from 1.

The probability of the first ball having a unique number is 85/85 since there are 85 options.

The probability of the second ball having a unique number is 84/85 since there are 84 remaining options.

Similarly, the probability of the third, fourth, fifth, sixth, seventh, and eighth balls having unique numbers can be calculated as 83/85, 82/85, 81/85, 80/85, 79/85, and 78/85, respectively.

To find the probability of all eight balls having different numbers, we multiply these probabilities together:

(85/85) * (84/85) * (83/85) * (82/85) * (81/85) * (80/85) * (79/85) * (78/85) ≈ 0.422

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Related Questions

How would you respond to and manage content which could be perceived as offensive in nature?.

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When encountering content that could be perceived as offensive in nature, it is important to respond and manage it in a thoughtful and responsible manner. This involves considering the context, addressing any harm caused, promoting open dialogue, and potentially applying moderation or content guidelines.

When faced with potentially offensive content, the first step is to assess the context and intent behind it. Understanding the intention of the content creator can help determine whether it was meant to be offensive or if it was a misunderstanding. If the content is found to be intentionally offensive or harmful, it is crucial to address the issue promptly and directly.

To manage offensive content, it is important to prioritize the well-being and safety of individuals who may be affected by it. This may involve providing support to those impacted, acknowledging any harm caused, and taking appropriate actions to rectify the situation. Promoting open dialogue and fostering a respectful environment can help facilitate discussions and educate individuals about the potential consequences of offensive content.

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Why might the partisan election of judges be cause for concern?.

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The partisan election of judges may be a cause for concern due to potential threats to judicial independence and impartiality.

The judiciary plays a vital role in upholding the rule of law and ensuring impartial and fair decisions. When judges are elected in partisan elections, it introduces the risk of bias and undermines the independence of the judiciary.

1. Impartiality and Fairness: Partisan elections can lead to judges being influenced by political affiliations and pressures. The expectation to cater to a particular political party or interest group may compromise their ability to make impartial decisions based on law and evidence. This undermines the fairness and integrity of the judicial system.

2. Judicial Independence: Judicial independence is crucial for maintaining the separation of powers and ensuring checks and balances within a democratic system. Partisan elections may subject judges to undue political influence, jeopardizing their independence and the separation of powers. Judges may feel pressured to align their decisions with the interests of the party that supported their election, rather than adhering to the law and principles of justice.

3. Public Confidence: Partisan elections can erode public trust and confidence in the judiciary. When judges are seen as partisan actors, it undermines the perception of their neutrality and integrity. This can diminish public trust in the judicial system and ultimately impact the legitimacy of court decisions.

4. Qualifications and Merit: Partisan elections may prioritize political affiliations and campaign strategies over the qualifications and merit of candidates. This can result in less qualified individuals being elected based on their party affiliation, rather than their expertise, experience, and commitment to upholding the law.

To maintain a fair and impartial judiciary, alternative methods such as non-partisan merit selection or appointment systems, where judges are selected based on qualifications and expertise rather than partisan affiliations, are often considered as alternatives to partisan elections. These approaches help safeguard judicial independence and promote a judiciary that is more focused on upholding the rule of law and ensuring justice for all.

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In the past, it was easier to make a decent living as a truck driver, but now the fact that there are fewer restrictions by the government and by unions has changed that.


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In the past, a decent living was easier to make as a truck driver than it is today due to the government and unions having fewer limitations.

In the past, the trucking industry was heavily regulated, making it easier for truck drivers to earn a decent living. Unions had more influence in negotiating salaries and working conditions for truck drivers. In addition, the government imposed restrictions on the number of hours a driver could work to prevent fatigue and ensure road safety.Today, there are fewer restrictions by the government and unions. This has led to many trucking companies hiring drivers as independent contractors, which has caused a decrease in pay, lack of benefits, and job insecurity. The pay for truck drivers has become lower, while the work has become more intense. Truck drivers have to work long hours without getting sufficient rest time, making it hard to maintain their work-life balance. In conclusion, there have been significant changes in the trucking industry, and it is now harder for truck drivers to make a decent living due to fewer restrictions by the government and unions. These changes have led to a decrease in wages, job insecurity, and increased workload. Therefore, there is a need for regulations to be put in place to protect the rights of truck drivers and ensure that they can earn a fair wage.

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PLEASE HELP! IT'S FOR A TEST!!


When houses are being built or renovated, the electrical must meet a certain code to ensure it is both safe and efficient. In one to two sentences, explain how electricians make sure the wiring is safe and efficient, will not cause fires, and will keep a house warm and well lit.

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Electricians ensure safe and efficient wiring in houses by adhering to electrical codes, implementing proper grounding, using appropriate wire sizes, installing circuit breakers.

Electricians ensure the safety and efficiency of house wiring by following established electrical codes that outline specific requirements for installations.

They ensure that the wiring is properly grounded, which helps protect against electrical shocks and reduces the risk of fires. Electricians select the appropriate wire sizes to handle the electrical load and prevent overheating, reducing the likelihood of fire hazards.

They install circuit breakers to protect against electrical overloads and short circuits, which can also cause fires. Additionally, electricians follow best practices for insulation, ensuring that wires are adequately protected from contact with flammable materials.

They also ensure that the house is well lit by strategically installing lighting fixtures and ensuring proper wiring connections. By adhering to these practices, electricians create a safe and efficient electrical system that provides reliable power, reduces the risk of fire, and ensures a well-lit and warm living environment.

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Both the revolutions in british north america and france were influenced by

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Both the revolutions in British North America and France were influenced by Enlightenment ideas and principles.

The Enlightenment was a philosophical and intellectual movement that emerged in Europe during the 17th and 18th centuries. It emphasized reason, individualism, and the rights of individuals. Enlightenment thinkers advocated for concepts such as liberty, equality, and popular sovereignty. In British North America, the colonists were inspired by Enlightenment thinkers such as John Locke, who argued for natural rights and the social contract theory. The colonists believed that they were entitled to the same rights and freedoms as British citizens and that they should have a say in the decisions that affected their lives. In France, the Enlightenment ideas of equality and liberty had a profound impact on the population, particularly the bourgeoisie and the urban working class. They were discontented with the absolute monarchy and the oppressive social and economic conditions. The French Revolution sought to overthrow the monarchy and establish a more democratic and egalitarian society.

In both cases, the Enlightenment ideas of individual rights, popular sovereignty, and the pursuit of liberty played a significant role in shaping the revolutionary movements and the desire for political and social change.

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Which musician is making another run for political office?.

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The musician who is making another run for political office is Kanye West.

In 2020, Kanye West announced his candidacy for the President of the United States as an Independent candidate. Despite announcing his candidacy late in the election cycle, he managed to get on the ballot in a handful of states, including Oklahoma, Utah, and Tennessee.West’s presidential campaign was marked by controversy, with critics questioning the legitimacy of his bid and his qualifications for the role of President. Some also raised concerns about his mental health and the potential impact of his campaign on the election, particularly in swing states that could have been impacted by third-party candidates.West ended up receiving over 60,000 votes across the country, but did not win any states or electoral votes. However, his campaign raised important questions about the role of third-party candidates in American politics and the challenges facing independent candidates in presidential elections.In 2021, Kanye West announced his intention to run for the position of Governor in the State of California. While he has not yet formally filed for candidacy, his announcement has already generated significant media attention and raised questions about his qualifications and agenda for the state.

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What type of report can you generate to forecast the impact of your decisions in the simulation?.

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In the simulation, you can generate a Sensitivity Report to forecast the impact of your decisions. What is a Sensitivity Report? A sensitivity report is a document that helps you understand how your changes affect the entire business. It demonstrates how variations in sales, expense rates, profits, and other metrics can impact the company's performance. It is critical to determine which variables have the most impact on your firm by studying the sensitivity report. The Sensitivity Report can provide several pieces of information, including the optimum quantity that yields the maximum profit and the optimal price to charge for your product. Additionally, it may demonstrate how a change in production capacity or advertising investment will influence the firm's earnings and profitability. The sensitivity report is used to answer "What if" scenarios. It can help you determine which decisions will provide the greatest benefit to your business and which factors to prioritize to maximize your profit.

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In an experiment to determine the effects of exercise on motivation, exercise is the.

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Exercise has a positive impact on motivation, according to a study. An experiment was conducted to see how exercise affected motivation, with exercise serving as the independent variable, while motivation served as the dependent variable.

The hypothesis was that there was a relationship between exercise and motivation, and that exercise enhanced motivation. To test this, a sample of students was chosen to participate in the experiment, and the study was conducted in a laboratory setting. Exercise was the treatment variable, with different levels of exercise applied to the experimental group, while the control group was not subjected to any exercise. To determine the results, measurements of motivation were taken before and after the exercise sessions.

The data was analyzed using descriptive and inferential statistical methods, with the mean and standard deviation as well as correlation analysis and ANOVA being used. The results showed that exercise had a significant effect on motivation, with students who exercised showing a significant increase in motivation compared to those who did not. The researchers recommended that more studies be conducted to investigate the link between exercise and motivation, as well as the specific mechanisms that underlie the relationship. The findings could be used to motivate people to exercise regularly in order to improve their motivation levels. In conclusion, exercise has a beneficial impact on motivation, according to the study.

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Warning: If you can't answer don't if you answer with a shenanigan than I will report you.
Who ever Completes this will get a brainliest, get a thanks, and a 5 star rating.
What are 2-3 themes (such as "national unity," a theme of Biden’s address) that you would want to address if you were being sworn in as president of the United States?
- What are 2-3 inspirational quotes that you would want to include in an inaugural address if you were being sworn in as president of the United States?
- Take a swing at presidential speech writing. Write between 100-500 words of an inaugural address using themes and inspirational quotes that you chose.

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As the President of the United States, there are numerous themes and inspirational quotes that one may want to incorporate in their inaugural address. Here are 2-3 themes and inspirational quotes that one may want to consider.

Themes:1. Equality and justice for all2. Promoting unity and national healing3. Promoting economic prosperity and securityQuotes:1. "The future doesn't belong to the fainthearted, it belongs to the brave." - Ronald Reagan2. "Change will not come if we wait for some other person or some other time. We are the ones we've been waiting for. We are the change that we seek." - Barack Obama3. "Ask not what your country can do for you, ask what you can do for your country." - John F. KennedyInaugural Address:

My fellow Americans,Today marks a new chapter in our nation's history. As we embark on this journey together, I am reminded of the words of Ronald Reagan, who once said, "The future doesn't belong to the fainthearted, it belongs to the brave." It is with courage and determination that we will tackle the challenges that lay ahead. We will work tirelessly towards ensuring that our country is one that is built on the principles of justice and equality for all.As we move forward, we must come together and unite as a nation. We must learn to embrace our differences and celebrate the diversity that makes us who we are.

Kennedy, who once said, "Ask not what your country can do for you, ask what you can do for your country." Let us work together to ensure that our country remains a beacon of hope and inspiration for generations to come.Thank you, and may God bless America.

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NATO was created to keep this from spreading across the continent and the world

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NATO was created to keep communism from spreading across the continent and the world.

Following World War II, the North Atlantic Treaty Organization (NATO) was established in 1949 as a collective defense alliance among several Western countries. One of the primary motivations behind its formation was to counter the spread of communism, particularly the influence of the Soviet Union, in Europe and beyond. The creation of NATO aimed to provide a unified defense against potential communist aggression and ensure the security of member countries. Through a commitment to mutual defense and cooperation, NATO sought to prevent the expansion of communism and safeguard the stability and democratic values of its member nations.

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What happens if a player gets injured sportsbook fanduel?.

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If a player gets injured, the sportsbook Fanduel may either refund the bet, void the bet, or settle the bet depending on the severity and timing of the injury.

What happens if a player gets injured sportsbook Fanduel?

Injury in a sports game is a common scenario that can have a significant impact on the betting market. If a player gets injured, the sportsbook Fanduel may either refund the bet, void the bet, or settle the bet with the main answer depending on the severity and timing of the injury.

Fanduel may void a bet if the injury happens before the game begins or if the player who is the subject of the wager is ruled out of the game before it starts. If the injury occurs during the game, the sportsbook may have different policies. In some cases, the sportsbook may refund the bet if the player has been subbed off or if the injury occurs after the completion of the game.

In certain cases, the sportsbook may settle the bet. In this case, if the injury occurs while the game is still in progress and the player continues to play, the sportsbook may settle the bet. This is particularly the case when it is an injury that does not impact the player's performance, such as a hand injury in a football game.

The sportsbook can settle the bet if the injury occurs during the game, and the player remains in the game but the injury affects their performance. In this case, the sportsbook may adjust the odds to reflect the player's decreased chance of winning. Therefore, it is important to read the rules of the sportsbook to know their policies on injuries.

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Question: Summarize the success of Thomasville



I have work that's due in 30 mins and I'm on the verge of a mental breakdown, so any help would be appreciated :)

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The success of Thomasville was primarily due to its focus on quality, innovation, and customer satisfaction. The company's commitment to these values helped it to build a loyal customer base and establish a strong reputation in the furniture industry.

Thomasville's success can also be attributed to its ability to adapt to changing trends and consumer preferences. The company was quick to embrace new materials, designs, and manufacturing techniques, which helped it to stay ahead of its competitors and remain relevant in the market.

In addition to its commitment to quality and innovation, Thomasville also placed a strong emphasis on customer service. The company's sales associates were trained to provide personalized attention to each customer and help them find the perfect furniture for their needs and preferences.

Overall, Thomasville's success was built on a combination of quality, innovation, and customer satisfaction, as well as its ability to adapt to changing trends and consumer preferences.

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In what way can speech act help for a successful and effective

communication?

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Speech act theory can help with successful and effective communication in various ways. Speech act theory is the study of how speakers use language to perform actions in various contexts and is concerned with how words can be used to achieve things in the world.

The following are some ways that speech act theory can help with successful communication: It helps with clarity and understanding: Speech act theory emphasizes the importance of context and how it can affect the interpretation of a speaker's utterances. Understanding the context of a speech act can help listeners interpret it correctly, leading to successful communication.

It promotes effective communication: Speech act theory recognizes that words can do more than convey information. They can also express emotions, attitudes, and social relationships. This understanding can help speakers use language more effectively to achieve their communicative goals.

It improves interpersonal relationships: Speech act theory recognizes the importance of social relationships in communication. By understanding the social dynamics of communication, speakers can use language to build and maintain relationships with others.

This can lead to successful interpersonal relationships and social interaction. In conclusion, speech act theory can help with successful and effective communication by promoting clarity and understanding, effective communication, and improving interpersonal relationships.

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To effectively communicate we must realize that we are all different in the way we perceive the world and use this understanding as a guide to our communication with others. -Anthony Robbins According to the quote, each of us ______________. A. Communicates poorly b. Perceives the world differently c. Finds perception difficult d. Should work harder at communication Please select the best answer from the choices provided A B C D.

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Option B. Anthony Robbins once said, "To effectively communicate we must realize that we are all different in the way we perceive the world and use this understanding as a guide to our communication with others."

In this quote, Robbins suggests that each person perceives the world differently, which means that the way we interpret events, people, and things around us is based on our individual experiences and personal beliefs.

To communicate effectively, it is important to understand these individual differences and use them as a guide for communication with others. Everyone has their own unique way of understanding the world, and communication is a two-way process that requires both parties to work together to reach a common understanding of the message being conveyed.

Therefore, the answer to the question is that each of us perceives the world differently.

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All of the following steps are included in a self-modification program except __________. A. Specifying target behavior B. Designing a program C. Focusing on one goal at a time D. Gathering data about target behavior Please select the best answer from the choices provided A B C D.

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All of the following steps are included in a self-modification program, except Focusing on one goal at a time.

Self-modification courses concentrate on teaching participants how to control undesirable or dysfunctional behavioral reactions to their issues.

A self modification plan includes the following steps, - designing a program in which you define and categorize the target behavior and recognize any challenges. The next step would be to identify a potential solution for the identified challenges and work on target behaviors. During the program, any data about the target behavior is collected and later evaluated with the help of graphs, and conclusions are drawn.

Therefore, the correct option is C, “focusing on one goal at a time” because this step is not included in the process.

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Name three import goods that Mansa Musa would have taxed.You will need to refer back to sub_topic 1,Unit 2 for this information.How were the people of West Africa affected by Islam?

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Three import goods that Mansa Musa would have taxed in West Africa were salt, textiles, and luxury goods such as gold and precious metals.

Salt was a valuable commodity in West Africa and was heavily taxed as it was a necessary resource for food preservation and seasoning. Textiles, including cloth and clothing, were also taxed as they were highly sought after and traded goods in the region. Luxury goods such as gold, silver, and other precious metals were taxed as well, reflecting the wealth and prosperity of the Mali Empire under Mansa Musa's rule. The people of West Africa were significantly affected by Islam in various ways. Islam spread throughout the region through trade routes, resulting in the conversion of many West Africans to the religion. Islam brought with it new cultural practices, religious beliefs, and educational opportunities. Islamic teachings influenced social structures and legal systems, introducing concepts of Islamic law and governance. The introduction of Arabic writing and the Quran led to increased literacy and the development of written records. Additionally, Islamic scholars and traders played a role in the intellectual and economic growth of West African societies.

However, it is important to note that the adoption of Islam in West Africa was not uniform, and traditional African religions and cultural practices continued to coexist alongside Islamic influences.

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How much weight has bob from bob loves abishola lost.

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Bob is one of the lead characters in the American sitcom "Bob Hearts Abishola". Billy Gardell portrays his role, while Abishola, who is the titular character of the show, is portrayed by Folake Olowofoyeku.

Gardell is a well-known American actor and comedian. As of 2021, Billy Gardell is 51 years old, and he was born on August 20, 1969.In the TV show, Bob is a middle-aged man who owns a sock manufacturing company. He is portrayed as being overweight and is shown struggling with his weight on the show. In the pilot episode of "Bob Hearts Abishola", Bob has a heart attack and is admitted to the hospital. Following his heart attack, he decides to lose weight to improve his health. He begins to attend support group meetings for people who are trying to lose weight and improve their health. How much weight has Bob lost from "Bob Hearts Abishola"? Bob has lost over 30 pounds, according to a statement made by Gardell. The actor has been vocal about his weight loss journey and has credited his wife for helping him make healthy choices. He has stated that his wife introduced him to a healthy lifestyle, and he has been able to maintain his weight loss by following her advice. In conclusion, Bob from "Bob Hearts Abishola" has lost over 30 pounds on the show. Gardell has been able to maintain his weight loss by following a healthy lifestyle and making healthy choices.

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The writer is considering deleting the underlined portion of sentence 3 (reproduced below), adjusting the capitalization as needed. Most people can’t resist immediately checking their phones each time they buzz, chirp, or chime, and scientists believe that compulsion is caused by a brain chemical called dopamine. Should the writer keep or delete the underlined text?.

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The writer should delete the underlined text. The underlined text is not necessary to convey the main point of the sentence, which is that people can't resist checking their phones when they buzz, chirp, or chime.

The underlined text, "and scientists believe that compulsion is caused by a brain chemical called dopamine," is a supporting detail that provides additional information about the cause of the compulsion to check phones.

However, this information is not essential to understanding the main point of the sentence. The sentence would still be clear and complete without it.

In addition, the underlined text is a bit of a tangent. It introduces a new topic, the brain chemical dopamine, that is not directly related to the main point of the sentence. This can make the sentence more difficult to read and understand.

For these reasons, I recommend that the writer delete the underlined text. This will make the sentence more concise and easier to read.

Here is a revised version of the sentence without the underlined text:

Most people can't resist immediately checking their phones each time they buzz, chirp, or chime.

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why did southern lawmakers agree to the Missouri Compromise

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Southern lawmakers agreed to the Missouri Compromise because it resolved the issue of slavery in the territories and maintained the balance of free and slave states in the Senate.

The Missouri Compromise was a legislative agreement passed in 1820 between the Northern and Southern states in the United States of America to resolve a series of issues regarding slavery and the balance of free and slave states in the country.

The Missouri Compromise prohibited slavery north of the 36° 30' parallel, except for Missouri. As a result, Southern states had a greater number of slave states, but the compromise preserved the balance of power in Congress between the North and the South.

In addition, the Missouri Compromise helped to ease the tensions between the North and the South over the issue of slavery.

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Louisa wants to buy an online movie subscription that is on sale for 15% off. She writes the expression c − 0. 15c to represent the cost of the subscription. Rewrite this expression in a different form to show what percent of the original price she will pay for the online movie subscription. Then compare your expression with Louisa’s. How are the expressions related? What does each expression tell you about the problem situation? PLEASE HELP QUICK!

Answers

The expression c - 0.15c represents the cost of the subscription, while (1 - 0.15)c represents the percent of the original price Louisa will pay.

The expression c - 0.15c represents the cost of the subscription after applying a 15% discount. This can be simplified as 0.85c, where c represents the original price.

To determine the percent of the original price Louisa will pay, we can rewrite the expression as (1 - 0.15)c, which simplifies to 0.85c as well. Both expressions are equivalent and represent the amount Louisa will pay after the discount.

The expressions highlight that Louisa will pay 85% of the original price for the online movie subscription, as the discount reduces the cost by 15%.

Therefore, both expressions convey the same information about the problem situation, indicating that Louisa will pay 85% of the original price after the 15% discount is applied.

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Why was there no budweiser commercial in super bowl?.

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The reason there was no Budweiser commercial during the 2021 Super Bowl is that Anheuser-Busch InBev, Budweiser's parent company, decided to use its advertising budget to fund COVID-19 vaccine awareness efforts instead.

Budweiser has been a regular advertiser during the Super Bowl for decades, but this year, they decided to forego a commercial spot and instead, they decided to put the money towards COVID-19 vaccine awareness efforts. This means they are directing the funds they would have spent on a commercial to promote the vaccine and educate people on how it works and how it will be distributed.

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Subtypes should be used when: Group of answer choices a recursive relationship is needed. supertypes relate to objects outside the business. the instances of a subtype do not participate in a relationship that is unique to that subtype. there are attributes that apply to some but not all instances of an entity type.

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Subtypes should be used when: the instances of a subtype do not participate in a relationship that is unique to that subtype.

Subtypes are a way to represent specialized categories or subsets of entities within an entity type. They are used to capture distinct characteristics or behaviors that apply to specific subsets of instances within the larger entity type. One of the key considerations for defining subtypes is the uniqueness of relationships associated with each subtype.

If the instances of a subtype do not have a relationship that is unique to that subtype, it suggests that the subtype does not require separate treatment or specialization in terms of relationships. In such cases, it may be more appropriate to handle those instances within the general entity type without creating subtypes.

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The table show the statistics for three professional football wide receivers. Which statements about these athletes best demonstrate bias? Choose two answers. Dante Ferris is the best wide receiver in the league. Anthony Hall has more receptions than CJ Ramirez. Anthony Hall has the fewest number of touchdowns. CJ Ramirez is the worst of these three players. Dante Ferris has the most receptions and touchdowns. CJ Ramirez ran for more yards than either Ferris or Hall.

Answers

The statements that demonstrate bias are "Dante Ferris is the best wide receiver in the league" and "CJ Ramirez is the worst of these three players."

Bias refers to favoring one person or group over others, often without objective justification. In this case, the statements "Dante Ferris is the best wide receiver in the league" and "CJ Ramirez is the worst of these three players" demonstrate bias. The statement declaring Dante Ferris as the best wide receiver in the league is biased because it makes an absolute and subjective claim without considering other players in the league. It disregards the possibility that other receivers may have comparable or even better performance.

Similarly, the statement labeling CJ Ramirez as the worst of the three players is biased as it judges CJ Ramirez solely in comparison to the other two receivers. Without considering a broader context or comparing Ramirez's performance to other players in the league, it unfairly diminishes his skills and achievements.

The other statements in the table, such as "Anthony Hall has more receptions than CJ Ramirez" and "CJ Ramirez ran for more yards than either Ferris or Hall," present objective and comparative information without subjective evaluations or favoritism.

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The most dramatic change in the world of sport over the past two generations has been the increase in the number of:.

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The most dramatic change in the world of sport over the past two generations has been the increase in the number of female athletes participating in sports. The involvement of women in sports has increased significantly, and there has been a significant shift in public perception regarding women in sports.

Over the past two generations, the most significant change in the world of sport has been the rise of female athletes participating in sports. In many countries, women were excluded from participating in sports for many years, but this has changed significantly. Women now participate in many sports, including basketball, soccer, and tennis, and women's sports events are now given greater coverage on television and in the media. This has helped to raise the profile of women's sports, and it has also provided young women with role models who can inspire them to become involved in sports. In addition to the rise of female athletes, there have been other changes in the world of sport over the past two generations. These include the increased use of technology in sports, such as video replay, and the growth of sports marketing. There has also been a significant increase in the number of people participating in sports at all levels, from recreational athletes to professional athletes. Overall, the rise of female athletes has been the most significant change in the world of sport over the past two generations. It has helped to break down barriers and change public perception regarding women in sports, and it has provided young women with more opportunities to participate in sports and achieve their goals.

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A dilation with a scale factor of 1/2 is applied to the three sides of Triangle ABC to create Triangle A'B'C'.



The side lengths of Triangle ABC are: A = 4ft, B = 3ft, C = 5ft.



What are the lengths of the sides on the new Triangle A'B'C'?

Answers

Applying a dilation with a scale factor of 1/2 to Triangle ABC creates Triangle A'B'C', where the side lengths are halved.


When a dilation is applied to a figure, each side of the original figure is multiplied by the scale factor to determine the corresponding side length in the dilated figure. In this case, a dilation with a scale factor of 1/2 is applied to Triangle ABC.

To find the side lengths of Triangle A'B'C', we multiply each side of Triangle ABC by the scale factor of 1/2.

Side A' = 4ft * 1/2 = 2ft
Side B' = 3ft * 1/2 = 1.5ft
Side C' = 5ft * 1/2 = 2.5ft

Therefore, the lengths of the sides of the new Triangle A'B'C' are: A' = 2ft, B' = 1.5ft, C' = 2.5ft. Each side length is half the length of the corresponding side in Triangle ABC due to the application of the dilation with a scale factor of 1/2.




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A military committee that rules in place of a single individual is best described as a __________. A. Coup d’état B. Junta C. Martial law D. Dictatorship

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A military committee that rules in place of a single individual is best described as a junta.

A junta refers to a group of military leaders who take control of a government by force, typically following a coup d'état or other political upheaval. This collective ruling body often exercises authority over a country or region and may have both executive and legislative powers. Junta rule is characterized by the dominance of military officials who govern without civilian oversight, and their decisions often reflect the interests and priorities of the armed forces. While a dictatorship typically involves a single individual holding absolute power, a junta represents a group of military leaders collectively assuming control. Martial law, on the other hand, refers to the temporary imposition of military authority and restrictions on civil liberties in times of crisis or emergency.

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Explain at least two specific ways that running a zoo would be different in a more command-based economy in which the government owns/controls some or all of the factors of production

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In a more command-based economy where the government owns or controls some or all of the factors of production, running a zoo would have significant differences compared to a market-based economy where private ownership and market forces play a larger role.

Here are two specific ways in which running a zoo would be different:

Decision-making and resource allocation: In a command-based economy, the government would have a central role in making decisions and allocating resources, including those related to running a zoo. The government would determine the budget, staffing levels, infrastructure development, and animal acquisitions for the zoo. These decisions would be based on the government's priorities and objectives, which may not align with market demands or public preferences. The government's control over resource allocation could lead to less flexibility and responsiveness in adapting to changing needs or trends in the zoo industry.

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Why was the siege at Port Hudson important? ( !!I NEED HELP!! )

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The siege at Port Hudson was important for several reasons. It was the longest siege in the history of the United States and was significant because it resulted in the Union gaining control of the Mississippi River.

This was a significant strategic victory because it cut off Confederate supply routes from Texas and Louisiana and divided the Confederacy in half. It was also an important symbolic victory because it demonstrated that the Union was capable of mounting large-scale, coordinated military operations. Finally, the siege was significant because it showcased the heroism and determination of the African American soldiers who fought in the Union army. Although they faced discrimination and prejudice from their fellow soldiers and commanders, they fought bravely and made important contributions to the Union's victory. In short, the siege at Port Hudson was an important military and symbolic victory for the Union, and it helped turn the tide of the Civil War in their favor.

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Which powerful group within japanese society seized power after successfully attacking manchuria?.

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The powerful group within Japanese society that seized power after successfully attacking Manchuria were the military extremists, also known as the "Imperial Way Faction." This group had strong nationalistic and expansionist beliefs and sought to assert Japan's dominance in Asia.

They believed in the importance of the military and felt that the government needed to be more aggressive in promoting Japan's interests overseas. The group gained momentum after the successful invasion of Manchuria in 1931 and went on to influence Japanese foreign policy in the lead-up to World War II.

They were responsible for Japan's alliances with Germany and Italy and the eventual decision to attack Pearl Harbor in 1941. In summary, the military extremists within Japanese society were the group that seized power after successfully attacking Manchuria, leading to a more aggressive foreign policy that ultimately resulted in Japan's participation in World War II.

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What is the benefit of the active grille shutter on 2022 rogue?.

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The active grille shutter on the 2022 Rogue improves fuel efficiency and aerodynamics by directing airflow around the vehicle in response to driving conditions.

The active grille shutter is a feature of the 2022 Nissan Rogue that aids in improving fuel efficiency and reducing air resistance. This system is made up of a grille shutter located in the front of the vehicle that opens and closes in response to driving conditions.

During operation, the shutter remains closed to increase aerodynamics and redirect airflow around the vehicle, reducing air resistance. However, when the engine needs additional cooling, the shutter automatically opens to allow more air to flow into the engine compartment.

The active grille shutter works alongside other features such as the aerodynamic design and advanced technologies in the powertrain to help maximize fuel efficiency. This is beneficial as it leads to less fuel consumption, lower CO2 emissions, and lower overall driving costs.

Overall, the active grille shutter is an innovative feature that offers benefits to both the driver and the environment. It improves fuel efficiency by directing airflow around the vehicle in response to driving conditions and reduces air resistance, leading to lower fuel consumption, CO2 emissions, and driving costs.

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