Adam has a cowboy hat, a top hat, and a Malaysian hat called a songkok. He also has four shirts: white,
black, green, and blue. If he chooses one hat and one shirt at random, calculate the probability that he
chooses the songkok and the black shirt.

Answers

Answer 1

The probability that he choose the songkok and the black shirt would be 1/3. 1/4.

What is probability?

Probability is the extent to which an event is likely to be occur and how likely is the proposition is true.

If there are two independent events A and B in the experiment, then the probability that both the event occur would be- P( A and B ) = P( A ) . P( B )

Both are the independent event , so the choice of hat has no effect on the choice of shirt.

There are three different hats, so the probability of choosing the songkok is 13 and four different shirts, so the probability of choosing the black shirt is 14.

According to the Multiplication Rule: the probability of(songkok and black shirt) = 1/3 . 1/4)

                          = 1/12

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Related Questions

Based on the information which is an opinion rather than a fact about immigrants to North America

Answers

Based on the information provided, the opinion rather than a fact about immigrants to North America is that they are solely responsible for the decline of the job market in the United States. This opinion is often perpetuated by those who hold nativist beliefs and are against immigration. However, this is not a fact and has been widely disputed by economists and researchers who have found that immigrants have a positive impact on the economy.

The fact is that immigrants have played a significant role in the growth and development of North America. They have contributed to the economy by starting businesses, paying taxes, and filling jobs in industries where there is a shortage of workers. In fact, immigrants have been shown to increase job opportunities for native-born workers, not take them away.

The difference between the opinion and fact is that the opinion is based on a misconception and prejudice, whereas the fact is supported by empirical evidence. It is important to distinguish between opinions and facts when discussing immigration and other contentious issues to ensure that we make informed decisions and policies based on accurate information.

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How does the Virginia Constitution separate the three branches of state government? What are they? How are they similar to the structure of the Federal Government? How are they different?

Answers

Answer:

The Virginia Constitution, like the U.S. Constitution, separates the state government into three branches: the legislative branch, the executive branch, and the judicial branch.

Legislative Branch:

The legislative branch of Virginia's state government is responsible for creating and passing laws. It consists of the Virginia General Assembly, which is divided into two chambers: the House of Delegates and the Senate. The House of Delegates has 100 members, while the Senate has 40 members.

Executive Branch:

The executive branch of Virginia's state government is responsible for enforcing laws. It is headed by the Governor of Virginia, who is elected for a four-year term. The Governor is assisted by the Lieutenant Governor and the Attorney General. The executive branch also includes a number of other agencies and departments.

Judicial Branch:

The judicial branch of Virginia's state government is responsible for interpreting and applying the law. It consists of a system of trial and appellate courts, including the Supreme Court of Virginia.

Similarities to the structure of the Federal Government:

The structure of Virginia's state government closely mirrors that of the federal government. Both have a separation of powers into the legislative, executive, and judicial branches. Additionally, both the federal and state government have a bicameral legislature, with a House of Representatives and a Senate.

Differences from the structure of the Federal Government:

One major difference between the Virginia and federal government is the length of terms served by elected officials. Virginia governors serve four-year terms, while the President of the United States serves a four-year term and can be reelected once. Additionally, the Virginia House of Delegates has 100 members, while the U.S. House of Representatives has 435 members. Finally, the judicial systems in Virginia and the federal government differ in their specific structure and jurisdiction.

Explanation:

NEED HELP!
IN THE 2 SOURCES BELOW PLEASE EXPLAIN WHAT EACH SOURCE BELIEVES ( LIKE THEIR PERSPECTIVE AND WHY)
THIS IS DUE AND I DO NOT KNOW HOW TO EXPLAIN THIS OR FIND THEIR POINT OF VIEW

MANY THANKS THE IMAGE BELOW IS A SCREENSHOT OF THE SOURCES.

NEED HELP!IN THE 2 SOURCES BELOW PLEASE EXPLAIN WHAT EACH SOURCE BELIEVES ( LIKE THEIR PERSPECTIVE AND

Answers

The answer is Source 2-

(Part 1-) Modern nationalism is based on a combination of two trends: the Enlightenment idea of a legitimate government being based on the people, and the romantic vision of culture.

(Part 2-) Title to territory in Africa by Malcolm Shaw discusses the notion of boundary, which marks the limitations of State sovereignties accepted by the members of the international community. Boundaries are crucial as they demarcate State jurisdiction and create a great impact on the regime, nationality, and cultural milieu of the inhabitants of the area.

Source 3-

Nation- A nation is an individual country considered together with its social and political structures.

What is the best way to define culture?

A population's collective ways of life, including its institutions, beliefs, and artistic expressions, are collectively referred to as its culture.

What do culture and an example mean?

Symbolic frameworks that give meaning to human behavior within a community or social group are referred to as cultural patterns. Cultural aspects include things like laws, customs, clothing codes, and architectural designs.

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RESOURCES
0
In the space provided, SPECIFICALLY state the economic
concept being illustrated in this comic. Then, tell me ONE
MORE THING about the economic concept. Then RELATE THE
ECONOMIC CONCEPT TO YOUR LIFE.

RESOURCES0In the space provided, SPECIFICALLY state the economicconcept being illustrated in this comic.

Answers

The economic concept being illustrated in this comic is resource scarcity.

One more thing about the economic concept of resource scarcity is that it refers to the limited availability of resources relative to the unlimited wants and needs of individuals and society as a whole. Resources can include natural resources, labor, capital, and even time. Scarcity necessitates choices and trade-offs as individuals and societies must prioritize and allocate resources to meet their most pressing needs and desires.

Relating the economic concept of resource scarcity to my life, it reminds me of the importance of managing my resources wisely. In my personal and professional life, I often encounter situations where I have limited time, money, or other resources available. This requires me to make choices and prioritize how I allocate those resources to achieve my goals and satisfy my needs.

For example, if I have limited funds for a vacation, I need to carefully consider how to allocate that money to cover transportation, accommodation, and other expenses. I may have to make trade-offs, such as choosing a less expensive destination or opting for a shorter trip. Similarly, in managing my time, I must prioritize tasks and activities to ensure that I allocate my limited time effectively and efficiently.

Understanding the concept of resource scarcity helps me make informed decisions, be mindful of my resource usage, and seek opportunities to optimize resource allocation in my daily life.

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Select the correct answer.
Why are taxes paid to local, state, and national governments in the United States?
OA. The national government has a difficult time collecting taxes from all citizens.
OB. The local and state governments use their taxes to pay taxes to the national government.
OC. Each level of government equally provides revenue for every service in the United States.
OD. Different levels of government provide different services that must be paid for by taxes.
Reset
Next

Answers

Answer: Different levels of government provide different services that must be paid for by taxes

Explanation:

What part of the state constitution outlines the structure and powers of government?

Answers

Explanation:

In the Tenth Amendment, the Constitution also recognizes the powers of the state governments. The new Tenth Amendment stated: “The powers not delegated to the United States by the Constitution, nor prohibited by it to the states, are reserved to the States respectively, or to the people.” ...25 Mar 2013.

How many rings will Tom Brady have at the end of his career

Answers

Answer:

Today Tom Brady will make his 10th career Super Bowl appearance as the Tampa Bay Buccaneers face the Kansas City Chiefs at Raymond James Stadium in Super Bowl 55. No other player in NFL history has competed in 10 Super Bowls.

Explanation:

Hope this helps

Answer:

he has 10 championship rings and 7 super bowl rings

Explanation:

What do you mean by Primitive ??​

Answers

The concept of something being primitive has to do with the things which belongs to a society in the past, before writing systems or advanced methods of doing things.

With this in mind, we can see that we can refer to Native American tribes as being primitive because based on their history they had little  to no contact with the things which were considered advanced.

We can refer to the primitive society as:

Neolithic AgeIron AgeStone Age, etc

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What type of bond does table salt have?

Answers

ionically

Salt is made up of sodium and chloride and is ionically bonded. Sugar, on the other hand, is composed of carbon, oxygen, and hydrogen and has covalent bonds. A salt molecule is made up of one sodium atom and one chlorine atom.

Explanation:

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What type of bond does table salt have?

who was the leader of the journey out of egypt and how did he influence the Israelites lives

Answers

The liberation of the people of Israel from slavery in Egypt in the 13th century bce, under the leadership of Moses; also, the Old Testament book of the same name.

Moses He led the Israelites out of the slavery in Egypt; this event was known as the Exodus. The Hebrew Bible says that the Moses died before reaching the Canaan. A new leader named Joshua was led the Israelites to Canaan. The liberation of the place or the people in it means the freeing of them from the political or the military control of another country, the area, or group of the people.  the desire for the national liberation. Liberation is also defined as being set free, or to obtaining equal rights. An example of the liberation is when the prisoner is set free from the prison. An example of the liberation is allowing to homo-se-xual the couples to be married.

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Why is it important to save

Answers

so you can have more stuff in the future, you can get more things i guess and it will help you with finical problems and maybe get you the things you want if you wait and save

Explain how the principle influenced the government of the United States.

Answers

The principle of checks and balances is a fundamental principle of the United States government that ensures that no one branch of government has too much power.

What is checks and balances based on ?

This principle is based on the idea of separation of powers, which divides the government into three branches: the legislative, executive, and judicial.

The legislative branch is responsible for making laws, the executive branch is responsible for enforcing laws, and the judicial branch is responsible for interpreting laws. Under the principle of checks and balances, each branch of government is given specific powers that allow it to check the power of the other branches and prevent any one branch from becoming too powerful.

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First part of the question is:

The principle of checks and balances has been important in America's government.

If you were trying to convince young people to vote for you, what two strategies would you use? Explain.​

Answers

Answer:

A: i would set a good example, of myself to make people like me.

b: and i would try to work hard, so they can see my results and have satisfaction of my work.

Explanation: I now this kind of depends on the people, your trying to make vote for you so i tried to choose the most common ways to make people vote you.

Drag the tiles to the correct boxes to complete the pairs.
Match each term with its meaning.
implied
enumerated
reserved
powers granted to states by the Tenth Amendment
powers specifically stated in the Constitution
powers assumed by nature of sovereignty
1
inherent
powers assumed because they are necessary and proper
-

Answers

These powers are derived from the necessary and proper clause also known as the elastic clause gives Congress the authority to make laws that are necessary and proper for executing its enumerated powers.

Apologies for the confusion earlier.

Here are the correct pairings:

implied - powers assumed by nature of sovereignty

enumerated - powers specifically stated in the Constitution

reserved - powers granted to states by the Tenth Amendment

inherent - powers assumed because they are necessary and proper

Enumerated powers are those explicitly listed in the Constitution as granted to the federal government.

They include powers such as the authority to levy taxes, regulate commerce, declare war and establish post offices.

Reserved powers, on the other hand, are the powers not delegated to the federal government by the Constitution are thus reserved for the states.

The Tenth Amendment clarifies that any powers not specifically granted to the federal government are retained by the states or the people.

Implied powers are not explicitly stated in the Constitution but are considered necessary for the federal government to carry out its enumerated powers effectively.

Inherent powers are those that are inherent to the nature of sovereignty and are not explicitly granted or mentioned in the Constitution.

They are seen as a natural consequence of being a sovereign nation and are often related to issues of foreign affairs, national defense and immigration.

The distinctions between these types of powers is crucial for comprehending the division of authority between the federal government and the states in the United States' constitutional framework.

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Which of the following is NOT considered a need for human motivation?Group of answer choicesRelatednessFlowAutonomyCompetence

Answers

The possible answers provided are Relatedness, Flow, Autonomy, Competence, and Pleasure. Of these five answers, only Relatedness is not considered a need for human motivation. The other four answers are all needs for human motivation.

The possible answers provided are Relatedness, Flow, Autonomy, Competence, and Pleasure. Of these five answers, only Relatedness is not considered a need for human motivation. The other four answers are all needs for human motivation.

The possible answers provided are Relatedness, Flow, Autonomy, Competence, and Pleasure. Of these five answers, only Relatedness is not considered a need for human motivation. The other four answers are all needs for human motivation.

The other four answers, Flow, Autonomy, Competence, and Pleasure, are all needs for human motivation.

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What is the general function of neurons?

Answers

Neurons (also known as neurones, nerve cells and nerve fibers) are electrically excitable cells in the nervous system that function to process and transmit information.

What can Nolan do to ensure that his ideas are understood during a discussion?
O speak clearly
go off topic
o ignore others' ideas
O speak very quickly

Answers

I’m pretty sure the answer is “speak clearly”

Nolan do to ensure that his ideas are understood during a discussion that he should speak clearly Option(a) is correct.

What does idea means?

The meaning of an idea is a thought, conviction, assessment or plan. An illustration of idea is a culinary specialist concocting another menu thing.

All the more for the most part, any consequence of mental action; an idea, a thought; a perspective. 'Good idea' is one that is central to the intrinsic significance of the business, and possibly extraordinary. An idea that is the supporting of the association's raison and one that is a sustainable wellspring of energy on the lookout.

In mental brain research, an idea is a psychological picture or cognizance that is eventually gotten for a fact however that might happen without direct reference to discernment or tactile cycles.

An idea is a psychological thought or theory or a conviction. The word idea is gotten from the Greek word, idea, and that implies the structure or nature of a thing.

Therefore Option(a) is correct.

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The United States has passed a proposal to remove China from the scope of developing countries, what impact will this have on China?

Answers

If the United States were to pass a proposal to remove China from the scope of developing countries, it would have significant implications for China's international status, trade relations, and global economic dynamics.

Firstly, removing China from the list of developing countries would symbolize a shift in the perception of China's economic standing. Being labeled as a developing country allows for certain privileges and flexibilities in international trade agreements, such as preferential treatment and exemptions. Losing this status would place China on a more equal footing with developed nations and potentially subject it to stricter trade regulations and obligations.

Additionally, the removal could impact China's access to global markets and trade preferences. As a developing country, China has enjoyed certain trade benefits, such as tariff exemptions and preferential treatment in trade negotiations. Losing these privileges could result in increased trade barriers, higher tariffs, and greater competition from other countries. It may require China to renegotiate trade agreements and potentially face more rigorous trade scrutiny.

Moreover, being categorized as a developed country could impact China's role in international organizations and decision-making processes. Developing countries often have a stronger voice in shaping global policies, particularly on issues such as climate change, sustainable development, and economic reforms. Losing this status may result in reduced influence and participation in international forums, making it more challenging for China to advocate for its interests on a global scale.

Furthermore, the removal from the scope of developing countries could have implications for China's domestic policies and economic development strategies. China has relied on its developing country status to pursue policies that support its industries, attract foreign investment, and protect certain sectors. Losing this status may require China to reassess and adjust its economic priorities and strategies to align with the expectations and regulations of developed nations.

Overall, removing China from the scope of developing countries would signal a significant shift in China's international position and could have far-reaching consequences for its trade relations, access to markets, participation in global decision-making, and domestic policies. It would likely require China to adapt and navigate a new landscape of international relations and trade dynamics.

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Read the excerpt from "What Educated Women Can Do" by Indira Gandhi. For instance, when I cut my hair, it was because of the sort of life that I was leading. We were all in the movement. You simply could not have long hair and go in the villages and wash it every day. So, when you lead a life, a particular kind of life, your clothes, your everything has to fit into that life if you are to be efficient.
Which type of reasoning does Gandhi include in her argument?
A. abductive reasoning
B. circular reasoning
C. deductive reasoning
D. inductive reasoning​

Answers

Indira Gandhi include inductive reasoning in her argument (option d).

In the given excerpt from "What Educated Women Can Do" by Indira Gandhi, Gandhi discusses her decision to cut her hair and relates it to the kind of life she was leading.

She states that because she and others were involved in a movement and had to visit villages where washing long hair daily would be impractical, she decided to cut her hair.

She further emphasizes that when leading a particular kind of life, all aspects, including clothes and appearance, need to be suitable and efficient for that life.

Analyzing Gandhi's argument, we can determine the type of reasoning she includes:

A. Abductive reasoning: Abductive reasoning involves forming conclusions based on the best available explanation or inference. However, Gandhi's argument does not rely on inference or explaining the best possible scenario. Therefore, abductive reasoning is not the type of reasoning included in her argument.

B. Circular reasoning: Circular reasoning occurs when the conclusion is restated as one of the premises without providing any additional evidence or support. Gandhi's argument does not exhibit this circular pattern, as she provides a specific reason (the practicality of washing long hair) to support her decision.

C. Deductive reasoning: Deductive reasoning is a logical process where conclusions are derived from general principles or premises. Gandhi's argument does not follow this pattern of deriving conclusions from general principles, so deductive reasoning is not the type included in her argument.

D. Inductive reasoning: Inductive reasoning involves deriving general conclusions from specific observations or evidence. In Gandhi's argument, she presents a specific situation (the need to wash long hair daily in villages) and draws a general conclusion (cutting her hair to fit into that life). Therefore, the type of reasoning Gandhi includes in her argument is inductive reasoning.

Hence, the correct answer is D. inductive reasoning.

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Use the paragraph to complete the activity.

Melanie walked out onto the stage, and her stomach dropped like a free-falling elevator. She crept slowly over to the podium and bent the microphone toward her mouth, like the straw in her pink lemonade. She gathered up all of her courage and began to speak, her voice an impostor as it boomed through the microphone. She flinched at its unfamiliarity and scanned the room for her mother's face.

In three to five sentences, identify two examples of figurative language from the passage above and explain what each example of figurative language means.

100 points to who gives correct answer

Answers

Answer:

Melanie walked out onto the stage, and her stomach dropped like a free-falling elevator. She crept slowly over to the podium and bent the microphone toward her mouth, like the straw in her pink lemonade.

Explanation:

Melanie walked out onto the stage, and her stomach dropped like a free-falling elevator. She crept slowly over to the podium and bent the microphone toward her mouth, like the straw in her pink lemonade. is an example of  figurative language because they Figurative language is a way of expressing oneself that does not use a word's strict or realistic meaning. Common in comparisons and exaggerations, it's usually used to add creative flourish to written or spoken language or explain a complicated idea.

what is meant by currency​

Answers

Answer: Currency can be referred to as money or something you use to purchase something. Currency is like the United States money where we pay in exchange for food, shelter, and various other items.

Explanation:

Currency is mainly the system or type of money which is used by a particular country. it is something that is used as a medium of exchange so that it can be traded for goods and services.

It is a form of money approved by the government and is used by the people of the country to buy goods and services as per their requirements. every country has its own currency for example India has the Indian rupee, the united state of America has dollars, and Canada has Canadian dollars.  

In early times barter system was prevalent, in this goods and services were exchanged for goods and services. as the economy grew currency replaced the barter system and made money the only medium of exchange.

The government must provide people with certain rights before taking away their liberties

Answers

Explanation:

The government must provide people with certain rights before taking away their liberties

Framework of strategic management

Answers

The answer the other person gave you is correct

What is globalization and give 1 example please easy answer

Answers

Globalization is when a business starts to become an international business. Example, McDonald’s, it’s a globalized business!

When the creature discovers that taking part of the DeLacy’s food store causes them suffering, he:______
a. takes more, his selfishness and cruelty an innate part of his nature.
b. begins to hunt rabbits, squirrels, and other small creatures, and leaves his left overs on their doorstep.
c. no longer takes from them, instead living off of berries, roots, and nuts he finds nearby.
d. abstains as much as possible, going many days without food and succumbing to hunger and taking more only when he feels he cannot go on another hour.

Answers

Answer:

The correct answer is - C. no longer takes from them, instead of living off of berries, roots, and nuts he finds nearby.

Explanation:

Creatures or any organism learn from their behavior and actions and result or outcomes of their actions. Outcomes influence the frequency or keep doing these actions. Positive outcomes increase the frequency of the actions whereas negative outcomes lead to decrease or inhibit such actions.

In this question taking food from food storage is the negative outcome as it causes suffering to the creature which will prevent them doing it and found other sources.

What influenced Collins when she was choosing an area in which to work in the corps in "Eileen Collins—NASA's First Female Shuttle Commander to Lead Next Shuttle Mission"?
a. She followed the path of her training and advanced within her field through hard work.

b. She received input about positions she would be best suited to take from her mentors.

c. She considered the jobs of other astronauts and chose the one she thought was the most exciting.

d. She created a new position for herself that best suited the skills she already had.

Answers

Answer:

Collin was influenced by the career :

C. She created a new position for herself that best suited the skills she already had.

Explanation:

First Female Shuttle

The influenced Collins when she was choosing an area in which to work in the corps in "Eileen Collins—NASA's First Female Shuttle Commander to Lead Next Shuttle Mission" that she created a new position for herself that best suited the skills she already had.

I needed to learn how to fly, do well in school and math and science, and connect the military, gotten to be an Discuss Drive pilot, become a test pilot, and after that lead into the space traveler program.

Thus, the correct answer is C.

Answer:

D. She created a new position for herself that best suited the skills she already had for K12

What is 19837-298?
Please answer & i'll mark you as brainiest!!!!

Answers

Answer:

19539

Explanation:

This person revolutionized the recording industry and throughout his career, he drew upon his deep love of Georgia for inspiration.

Answers

Answer:

The answer is Ray Charles

Explanation:

Ray Charles was an African American singer, pianist and composer, who was born in Georgia in 1930. He went blind when he was a kid due to an eye disease.

Ray Charles revolutionized the recording industry not only because of his great talent, but also becuase of his musical style, which blended gospel music, with blues, jazz, and even country.

Ray Charles loved his home state of Georgia, and dedicated many songs to it.

When water changes from a gas in the atmosphere to a liquid droplet in a cloud, this is known as

Answers

Answer:

Condensation

Explanation: Condensation is the part of the water cycle where the gas phase turns into the liquid phase.

e the clues and a map of Africa from a prim
Clue one: I border the Indian Ocean.
Clue two: I am north of Mozambique.
Clue three: My capital starts with a "D.
I am answer?

Answers

Based on the given clues, the answer is "Tanzania."

Tanzania borders the Indian Ocean to the east, and it is located north of Mozambique. Its capital city, Dodoma, starts with the letter "D."

What is the map about?

Africa is the world's second-largest and second-most-populous continent, covering an area of approximately 30.3 million square kilometers. It is home to 54 countries, diverse cultures, languages, and religions, making it a continent of great diversity.

The first clue provided was "I border the Indian Ocean." Tanzania is a country located on the eastern coast of Africa and has a coastline on the Indian Ocean.

Therefore, the second clue given was "I am north of Mozambique." Mozambique is a country located to the south of Tanzania, which means Tanzania is located north of Mozambique.

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many newly independent latin american countries went to war with each other. which factors led to disputes? select three choices. Pls help me ASAP PLS PLS PLS PLS how much power is used when a 25 kg box is pushed at a constant acceleration of 0.25 m/s2 for a distance of 5.6 km in 2 minutes? why does a post-anova planned comparison use a pooled estimate of more groups than the number of groups whose means you are comparing? please help!!will mark brainlyist Need help asap!!A______earns a yearly median salary of $64,272.A.High School DiplomaB.Associates DegreeC.Bachelors DegreeD.Master's Degree Based upon the image shown, solve for the value of a. fill in the blank. * a two-way anova provides ____, which are the averages if all participants on each level of the independent variable, ignoring the other independent variables.Marginal means! a scientist is comparing samples of intrusive and extrusive igneous rock what is the difference of the two rocks You are the manager of a factory, and the inverse demand function and cost function of your product are given by: P= 194 - 20 C=1000 + 20 12Q2 + Q3a) Find the level of output at which marginal cost is increasing.b) Find the price and quantity that maximises your firms profits. What is the maximum profit?c) Is demand elastic, inelastic or unit elastic at the profit maximising price-quantity combination?d) Use the differential of total revenue to approximate the change in revenue when output level of the product increases by 1% from the level obtained in (b) QUESTIONa) Drive the marketing mix ( 4ps of marketing ) for the following Brand Operating in niche segmentb) Do the BCG Matrix Analysis for the product line of the following D2C brand and find out whether the brand / product fall on which of the matrix ( star , cash cow , question mark or Dog )THE BRAND DETAILS AND PRODUCT ARE GIVEN BELOW recall financial outcomes that are commonly measured and used in the balanced scorecard framework. more than one answer may be correct. a. training b. employee retention c. compensation d. customer satisfaction Suppose ABCEFGABCEFG. If mABC=(4x+3)mABC=(4x+3) and mEFG=(2x+11)mEFG=(2x+11), find the actual measurements of the two angles why is it important to have a digestive deposition transcript prepared before trial?a. to summarize the key points for the judgeb. to help the judge review the notes before making a decisionc. to make sure the defendant is not making up liesd. to make it easier for the lawyer to find relevant information A partnership owned equally by 15 partners is worth $1.5 million. The partnership loses a lawsuitworth $5 million. What is the value of any personal property each partner must forfeit to pay thesettlement? oscillating spring mass systems can be used to experimentally determine an unknown mass without using a mass balance. a student observes that a particular spring-mass system has a frequency of oscillation of 10 Hz. the spring constant of the spring is 250 N/m. what is the mass? What are the normal ROM limits of elbow flexion? An instructor wants to create a test that has true-false questions, multiple-choice questions,and essay questions. He wants the test to have 35 questions, with twice as many multiple-choicequestions as essay questions and with twice as many true-false questions as multiple-choicequestions.(i). Write a system of equations to represent this problem.(ii). Hence or otherwise, determine how many of each type of question should theinstructor put on the test? Suppose that at date t = 0, you agree to a forward contract to buy one dollar at date t = 1 at a price of F pounds. The UK risk-free interest rate (for both borrowing and lending) over the period is rs = 3/5, (60%), and the US risk-free interest rate (for both borrowing and lending) over the period is ra= 1/2, (50%). The spot exchange rate at date t = 0 is So= 3/4 pounds per dollar (75 pence). Let S denote the spot rate at date t = 1. As of date t = 0, S is uncertain. You may assume there is no bid-ask spread for exchange between the pound and the dollar.(a) Explain the position you have from the forward contract at date t = 1. If at date = 1, S[3 marks](b) Explain how you can replicate the payoff to the forward contract using the money markets in the UK and the US and the current spot exchange rate.[4 marks] What effect did years of war have on Louis XIV and his subjects