Each fall the Andreas family spends a significant amount of time raking leaves in their yard. These leaves are placed in large paper bags that are then taken to a recycling center where they are turned into mulch for use in spring planting. Having raked the yard for many years the Andreas have determined that the average number of leaves per bag is Normally distributed with a mean of 2000 and a standard deviation of 136.
a. What is the probability that a randomly selected bag of leaves has more than 2300 leaves in it?
b. On average, a leaf weighs 0.013 pounds. What is the distribution of the weight of a bag of leaves?
c. If the Andreas rake 20 bags of leaves in one day, what is the probability that the total weight in the bags in more than 500 pounds?
d. Suppose that overall the Andreas fill 35 bags of leaves after raking the entire yard. To determine the variation in the combined weight of the 35 leaf bags Caleb suggests that Peter let X represent the weight of a bag of leaves and simply calculates V[35X] to find the variation for the entire set of 35 bags. What do you think of Jacob’s reasoning?

Answers

Answer 1

Caleb's reasoning for using V[35X] to determine the variation for the entire set of 35 bags is incorrect. The correct approach is to calculate the variance of a single bag and then multiply it by the number of bags to obtain the variance of the total weight of 35 bags.

a. To find the probability that a randomly selected bag of leaves has more than 2300 leaves, we need to calculate the z-score and then use the standard normal distribution table. The z-score is given by (X - μ) / σ, where X is the number of leaves, μ is the mean, and σ is the standard deviation. In this case, X = 2300, μ = 2000, and σ = 136.

The z-score is (2300 - 2000) / 136 ≈ 0.2206. Looking up this z-score in the standard normal distribution table, we find the corresponding probability to be approximately 0.5871.

However, since we want the probability of having more than 2300 leaves, we subtract this value from 1 to get 1 - 0.5871 = 0.4129. Therefore, the probability that a randomly selected bag of leaves has more than 2300 leaves is approximately 0.4129 or 41.29%.

b. The weight of a bag of leaves is determined by the number of leaves in the bag. Since the number of leaves per bag is normally distributed, the weight of a bag of leaves can be thought of as the sum of the weights of individual leaves, each being 0.013 pounds. The distribution of the weight of a bag of leaves can be approximated by a normal distribution.

The mean weight of a bag of leaves is calculated by multiplying the average number of leaves per bag by the weight of a single leaf: 2000 * 0.013 = 26 pounds. Since the weight of each leaf is independent, the standard deviation of the weight of a bag of leaves is found by multiplying the standard deviation of the number of leaves per bag by the weight of a single leaf: 136 * 0.013 = 1.768 pounds.

Therefore, the distribution of the weight of a bag of leaves is approximately normal with a mean of 26 pounds and a standard deviation of 1.768 pounds.

c. To calculate the probability that the total weight in the bags is more than 500 pounds when Andreas rakes 20 bags of leaves in one day, we need to find the distribution of the total weight. Since the weight of each bag of leaves is independent, the total weight can be thought of as the sum of the weights of the 20 bags.

The mean weight of the total is calculated by multiplying the mean weight of a bag by the number of bags: 26 * 20 = 520 pounds. The standard deviation of the total weight is found by multiplying the standard deviation of a single bag by the square root of the number of bags: 1.768 * sqrt(20) ≈ 7.913 pounds.

Now we can calculate the z-score for the desired probability: (500 - 520) / 7.913 ≈ -2.528. Looking up this z-score in the standard normal distribution table, we find the corresponding probability to be approximately 0.0057. Therefore, the probability that the total weight in the bags is more than 500 pounds is approximately 0.0057 or 0.57%.

d. Caleb's reasoning for using V[35X] to determine the variation for the entire set of 35 bags is incorrect. The variance of a sum of random variables is not equal to the sum of the variances of those variables.

To find the variation for the entire set of 35 bags, we need to consider that the weight of each bag is independent and identically distributed. The variance of the sum of independent random variables is equal to the sum of their individual variances.

Since the weight of each bag of leaves follows a normal distribution with a mean of 26 pounds and a standard deviation of 1.768 pounds (as calculated in part b), the variance of a single bag is (1.768)^2.

To find the variance of the total weight of 35 bags, we multiply the variance of a single bag by the number of bags: 35 * (1.768)^2. This provides an estimate of the variation for the entire set of 35 bags.

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Related Questions

What is the rebellion that Lincoln speaks of?
A The slaves rebelling against their owners
B
The Southern states rebelling against the Northern
States
C) The slave owners rebelling against the states
D) Lincoln rebelling against congress

Answers

Answer: B

Explanation:

Because I just did an assignment and I got it right with that answer

How can something be "new" and "improved"? (If it's new, what was it improving on?)

Answers

Answer:

Take cars for example, they started off pretty slow and as time when on the became faster with more features. And as more time went on cars stopped using so much fuel and electric cars came out not damaging the environment as much.

Explanation:

Hope this helps

which president is better a. joe biden b. donald trump c. barack obama

Answers

Answer:

In my opinion, it would be Barak Obama.

Explanation:

Donald Trump seems to always cause conflict or controversy during his presidency, and nothing he did during his term really stuck out to me. Joe Biden literally became the president yesterday so we would have to wait and see about that one, so the only thing I have is to choose between Obama and Trump. I don't think Obama was the best president, but he was better than Trump at least.

Barack Obama. Is a good president.

which layer of earth is broken into giant plates

Answers

Answer:

The lithosphere

Explanation:

The lithosphere is broken up into giant plates known as tectonic plates.

Help lil ole me please ☺

Help lil ole me please

Answers

Answer:

Explanation:

In New Spain, which is modern-day Mexico and Central America, the friars taught Nahuatl to indigenous Americans who had not spoken it prior, as a way of establishing a common language. They translated hymns, prayers, and religious texts into Nahuatl to make Catholicism more widely spread and understood.Altered Lifestyles The Spanish altered Indian life in many ways. Their intrusion resulted in changing tribal customs and religious traditions. Tribal alliances were shifted and new rivalries were developed. Indians lost their land, their families, and their lives.

what is globalization ??

Answers

Answer:

I think globalization is the process by which people and goods move easily across borders.

Answer:

the process by which businesses or other organizations develop international influence or start operating on an international scale.

Explanation:

hope it is helpful for you keep smiling bro

Sa mga nakakaintindi saken congrats​

Answers

Answer:

Naiintidihan kita

Ey yes yes yowwwww

Okay okay then I will get the chills again and I just hope you feel like it

Ethical concerns have been raised about Stanley Milgram’s obedience research. Specifically, some have suggested that the project caused too much distress in the participants, distress that could not be justified. If you were asked your opinion of this issue, which of the following would be a legitimate response?
A. The majority of participants reported that they were pleased to have participated in the research, so it does not seem to have been damaging to most of those who were involved.
B. Milgram’s research was certainly unethical, because he conducted it even though he was advised not to do so by his University’s Institutional Review Board (IRB).
C. Milgram’s participants were paid for their participation, so there is no legitimacy to the statement that the research was unethical.
D. Milgram conducted a follow-up survey of his participants, and most of them indicated that they were very angry at having been deceived. This means that the research was likely unethical.

Answers

If asked your opinion of ethical concerns that have been raised about Stanley Milgram’s obedience research, a legitimate response would be option D: Milgram conducted a follow-up survey of his participants, and most of them indicated that they were very angry at having been deceived. This means that the research was likely unethical.

Milgram’s obedience research is a psychological experiment that was conducted in the 1960s in which participants were instructed to deliver electric shocks to a learner as punishment for a wrong answer, even when it was clear that the learner was in great pain. This was to examine how much pain and suffering people would inflict on others when they are instructed to do so by an authority figure.

The experiment was deemed as controversial and unethical by many people due to the extreme distress caused to the participants as they believed that they were delivering painful electric shocks to another participant. Many of the participants suffered extreme anxiety, humiliation, and guilt after the experiment.

Some critics of the experiment argued that participants did not give informed consent to participate in the study and that the distress caused to them outweighed the benefits of the research.

The legitimate response to the ethical concerns raised about the Milgram’s obedience research is that Milgram conducted a follow-up survey of his participants, and most of them indicated that they were very angry at having been deceived. This means that the research was likely unethical.

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HELP PLEASE 100 POINTS

Reference your notes and the provided documents to write a three- to four-paragraph essay that describes how these two historical documents form their respective arguments. Compare and contrast the key points, main ideas, and arguments presented in the documents. Make sure your essay addresses the following questions:

What techniques do the authors use to form their arguments?
Is there any evidence of bias or stereotypes?
Using the author-date system, make sure to cite your sources properly with in-text citations as well as a works cited page for any information you use from outside sources, including the two provided documents. When you have finished, reread the essay to check for all of the points above, and then proofread it to be sure your work does not contain errors in grammar or spelling.

HELP PLEASE 100 POINTSReference your notes and the provided documents to write a three- to four-paragraph
HELP PLEASE 100 POINTSReference your notes and the provided documents to write a three- to four-paragraph
HELP PLEASE 100 POINTSReference your notes and the provided documents to write a three- to four-paragraph
HELP PLEASE 100 POINTSReference your notes and the provided documents to write a three- to four-paragraph
HELP PLEASE 100 POINTSReference your notes and the provided documents to write a three- to four-paragraph

Answers

Answer:

m bery international ndbrjska

Answer:

option a is correct answer

mark me BRAINLIST

Desiree Johnson is a preschool teacher at Kennedy Early Childhood Development Center. She uses developmentally appropriate practice (DAP) and a behavioral approach in teaching her class of 3- year-olds. As part of her pedagogical approach, Ms. Johnson looks for opportunities to give each child specific feedback when he does something good. This is known as:
O descriptive praise.
Onegative reinforcement.
O modeling.
O task analysis

Answers

Desiree Johnson, who is a preschool teacher, uses developmentally appropriate practice (DAP) and a behavioral approach in teaching her class of 3- year-olds.

As part of her pedagogical approach, Ms. Johnson looks for opportunities to give each child specific feedback when he does something good. This is known as descriptive praise.What is Descriptive praise?Descriptive praise is a type of feedback given to an individual to reinforce good behavior and actions. When an individual receives descriptive praise, he or she is told what he or she did well in a specific and precise way.

It differs from generic praise in that it emphasizes the specific action or behavior that was done well and explains the consequences of it. The aim of descriptive praise is to strengthen desired behavior and to encourage repetition. It is one of the most effective techniques for reinforcing desired behavior.

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The Bedouins are legendary for which trait? a) harshness b) stationary lifestyle c) independence d) hospitality

Answers

The Bedouin are a proud race, and follow a strong code of honour. They are known for their loyalty, first to their immediate families, then to their clans and tribes. In times gone by, each member of the household would contribute to family life.

Please help look at the picture!!!!!

Please help look at the picture!!!!!

Answers

The answer to your question is number UNO

Which statement BEST describes the status of women during World War II?

Answers

Answer:

World War II changed the lives of women and men in many ways. Wartime needs increased labor demands for both male and female workers, heightened domestic hardships and responsibilities, and intensified pressures for Americans to conform to social and cultural norms.

Evaluate how the cellular phone industry helps the poor to gain access to communication

Answers

The cellular phone industry has played a significant role in helping the poor gain access to communication in several ways:

Affordable Devices: The industry has introduced affordable mobile phone options, including basic feature phones and low-cost smartphones, making them accessible to a broader segment of the population. These devices provide essential communication capabilities, such as voice calls and text messaging, at affordable prices.

Mobile Network Expansion: The cellular phone industry has invested in expanding mobile network coverage, including in rural and underserved areas. This expansion has extended the reach of communication services to previously inaccessible regions, enabling individuals from low-income backgrounds to connect with others locally and globally.

Mobile Money and Financial Inclusion: Many cellular phone providers have introduced mobile money services, allowing individuals to conduct financial transactions, transfer money, and access banking services through their phones. This has enhanced financial inclusion for the poor, who may not have access to traditional banking services, empowering them to manage their finances and engage in economic activities.

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what caused the native americans to join sides with the british?

Answers

The Native American population drastically shrank during de Soto's exploration of the Southeast, particularly Georgia, as a result of exposure to diseases to which Native Americans lacked immunity.

One explanation for this is because the Spaniards brought pigs from Spain (for food and trade) with them, and the pigs were carriers of influenza, TB, and other viruses and bacteria. Escaped pigs continued to spread these diseases.

To Native Americans and the deer and turkeys they killed long after the Spaniards had left the area.Because they believed the Native Americans to be inferior to them, the Spanish treated them unfairly.The locals were brutally abused, some were made into slaves, and those who were useless were killed. The locals initially believed the Spanish were angels sent from heaven, but when they began to treat them unfairly, they began to refer to them as the devil.

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Melissa sustained a serious head injury while competing in an elite gymnastics competition. Although she has recovered from the injury, melissa still has trouble remembering information and events that occurred before she hit her head. Her symptoms are consistent with those of a patient who has _____ amnesia.

Answers

Her symptoms are consistent with those of a patient who has Retrograde amnesia.

Retrograde amnesia is a condition when a person experiences memory loss that affects the sufferer's ability to create memories, store them and recall them. In people with retrograde amnesia, all memories that have been formed before the amnesia began to appear will be affected and tend to be lost.

After experiencing a traumatic brain injury, the person's ability to remember, especially memories from several years before the injury, is lost. The causes of retrograde amnesia vary, even the nature of the condition in some cases is progressive, temporary, to permanent. Retrograde amnesia is a person's memory loss that affects the ability to create memories, store and recall.

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What were the Articles of Confederation?
1. The document that declared Independence for Great Britain
2. The peace treaty signed ending the American Revolution
3. the first Consitution in the U.S.
4. The agreement made between the federalists and Anti-federalists

Answers

Answer:

answer is #1 from Confederation

Elected leaders vs Appointed leaders- Give 2 reasons why electing a leader is a better option and give 2 reasons why appointing a leader can be considered a better option. (Leader examples: mayor, governor or any political representative).

Answers

Elected leaders vs appointed leaders Elected leaders: Elected leaders are those who are elected to public office by the people of their country, state, or city. The most common elected leaders include presidents, governors, mayors, and other public officials.

The following are two reasons why electing a leader is a better option:1. Popular Choice: Elected leaders are usually elected because they are the popular choice of the people. This means that they are elected because the majority of people in their community, city, state, or country support them. This is a better option because it ensures that the elected leaders represent the will of the people.2. More Accountability: Elected leaders are more accountable to the people who elected them. This is because they know that they will be held accountable for their actions in office. This is a better option because it ensures that the elected leaders are more responsible and work harder to serve the people who elected them.Appointed leaders: Appointed leaders are those who are appointed to public office by someone in authority. The most common appointed leaders include governors, mayors, and other public officials. The following are two reasons why appointing a leader can be considered a better option:1. Expertise: Appointed leaders are usually appointed because they have a certain expertise in a particular field. This means that they are better qualified to make decisions in that field. This is a better option because it ensures that the appointed leaders are more knowledgeable and skilled in their field.2. No political bias: Appointed leaders are not elected, so they are not influenced by political bias.

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If you are tired or just cannot seem to understand the material,
a.
Read the chapter again while studying for the test
c.
Take a break and return to the chapter later
b.
Ask a friend for their notes on the chapter
d.
All of these

Answers

Answer:

C. take a break and return to the chapter later

Explanation:

Will give brainliest !!

What conclusion can we draw about the pilgrims based on the Mayflower compact?

Answers

Answer: Self government for the first time in the new world

Explanation:

It simply bound the signers into a "Civil Body Politic" for the purpose of passing "just and equal Laws . . . for the general good of the Colony." But those few words expressed the idea of self-government for the first time in the New World.

Answer: The mayflower compact continued the idea of the law made by and for the people

Explanation:

FILL IN THE BLANK. tip-of-the-tongue phenomenon is also known as ________.

Answers

it is known as lethologica

What principle recorded in the opening of the declaration of independence does the opinion in this case call to question

Answers

The principle recorded in the opening of the Declaration of Independence that this case calls into question is the principle of "unalienable rights."

The opening lines of the Declaration state, "We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty, and the pursuit of Happiness."In the case being referred to, the specific principle being questioned is the right to life. If the case involves a situation where this right is being debated, challenged, or potentially violated, it calls into question the assurance of unalienable rights as stated in the Declaration. This raises the question of whether the individual's right to life, which is considered inherent and unalienable, is being adequately protected and respected.The case may potentially challenge the understanding and interpretation of the right to life as an unalienable right. It prompts a deeper examination of how this principle is applied in specific circumstances and whether it is upheld consistently. The case may explore the boundaries and limitations of this right, potentially raising questions about its protection, preservation, and the role of government in ensuring its fulfillment. Such discussions contribute to the ongoing dialogue surrounding the interpretation and application of fundamental human rights.

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True or false? Propaganda is biased, which means that it fairly represents both sides to an argument.

Answers

Answer:

False

Explanation:

The __________ stage of the socialization process is about recognizing that each individual arrives with a set of values, attitudes, and expectations about both the work and the organization.

Answers

The initial stage of socialization, also known as the anticipatory stage, is where individuals begin to form their expectations and assumptions about the organization and the work they will be doing.

However, the second stage, known as the encounter stage, is where individuals come face to face with the reality of the organization and the work they will be doing. This stage is about recognizing that each individual arrives with a set of values, attitudes, and expectations about both the work and the organization. During this stage, individuals begin to learn more about the organization's culture, values, and norms, and may start to compare them to their own. The encounter stage can be challenging, as individuals may experience a sense of disorientation or discomfort as they learn to adapt to the new environment. However, it is a critical stage in the socialization process as it helps individuals to develop a more realistic understanding of the organization and their role within it. This stage typically lasts around 3-6 months and involves a great deal of learning and adjustment.

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which theory maintains that all people have the potential to violate the law, as modern society presents many opportunities for illegal activities that promise immediate reward and gratification?

Answers

Social control theory maintains that all people have the potential to violate the law, as modern society presents many opportunities for illegal activities that promise immediate reward and gratification.

Within the fields of the social sciences, social control is a notion. [1] Social control is defined as a certain set of laws and norms in a society that bind people to accepted norms and the use of formalized methods. The control model's predecessor was the disciplinary model [2]. Illegal Economic Activity Level with respect to the formal economy Large Amount of Illegal Activities Very Little Illegal Activites Two Failed States in One Story Due to the core DDR model assumptions being incompatible with the circumstances of failed and collapsed governments, Somalia and Afghanistan serve as two cases at the low end of the state typology spectrum that illustrate the unsuccessful effects of the model.

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Researchers are investigating whether people who exercise with a training partner have a greater increase, on average, in targeted exercise intensity compared with people who exercise alone. Two methods of collecting data have been proposed. Method i: recruit volunteers who are willing to participate. Randomly assign each participant to exercise with a training partner or to exercise alone. Method ii: select a random sample of people from all the people who exercise at a community fitness center. Ask each person in the sample whether they use a training partner, and use the response to create the two groups.

Answers

In method I, the population generalization is almost random, hence it uses a random sample. In method II, the population generalization is less random, hence it uses a biased sample.

In terms of population generalization, the two methods differ. In method I where participants randomly assign each participant to exercise with a training partner or to exercise alone from the volunteers who are willing to participate, the sampling method is almost random as it includes people who are exercise regularly (in majority) and those who do not exercise regularly. Due to the randomized nature of the sample, the results can be applied to the entire population.

In method II where sampling is done by selecting a random sample of people from all the people who exercise at a community fitness center and determining if they use a training partner or exercise alone to create the two groups. As the people included in the sample are less random as they work out regularly at the fitness center. Hence, the sample is biased as it does not include any representation of people who do not work out regularly. The results cannot be used to apply to the entire population.

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The five main world-wide religions originated from the continent of asia is called: _________

Answers

Answer: Buddhism, Christianity, Hinduism, Judaism, and Islam


Discuss how climate risks pose a threat to banks and to
financial stability, explaining how these risks can be managed

Answers

Climate risks can be managed by conducting risk assessments, integrating climate risks into decision-making, conducting scenario analysis, transparent disclosure, collaboration, and strategic adaptation.

How can banks manage climate risks to ensure financial stability?

These risks arise from the physical impacts of climate change, such as extreme weather events, as well as the transition risks associated with the shift to a low-carbon economy.

To manage climate risks, banks can adopt several strategies:

Risk Assessment and Measurement: Banks should assess their exposure to climate-related risks by conducting thorough risk assessments.

This includes evaluating the potential impact of physical and transition risks on loan portfolios, investments, and operations. Robust risk measurement frameworks and stress testing can help banks quantify potential losses and identify vulnerable areas.

Integration of Climate Risks: Banks can integrate climate risks into their risk management frameworks and decision-making processes.

This involves incorporating climate risk considerations into credit risk assessments, investment decisions, and loan underwriting processes. Banks can also consider climate-related factors when setting risk appetite and capital allocation.

Scenario Analysis and Stress Testing: Conducting scenario analysis and stress testing can help banks understand the potential financial impacts of different climate-related scenarios.

This allows them to assess their resilience and develop appropriate risk mitigation strategies. Scenarios could include varying degrees of physical impacts, policy changes, or technological advancements.

Disclosure and Reporting: Transparent and consistent disclosure of climate-related risks is crucial for market participants and stakeholders.

Banks should provide clear and accurate information about their exposure to climate risks, their risk management strategies, and their progress in transitioning to a low-carbon economy.

This enables investors, regulators, and the public to make informed decisions and assess the resilience of financial institutions.

Collaboration and Engagement: Collaboration with other stakeholders, such as regulators, industry peers, and climate experts, is important in managing climate risks effectively.

Banks can engage in collective efforts to share best practices, develop common standards and methodologies, and contribute to the development of sustainable finance initiatives.

Strategic Adaptation and Innovation: Banks should also consider strategic adaptation and innovation to navigate the changing landscape.

This may involve developing new financial products and services that support climate-friendly investments, promoting sustainable lending practices, and exploring opportunities in the renewable energy and clean technology sectors.

By adopting these strategies, banks can better manage climate risks, safeguard financial stability, and contribute to the transition to a more sustainable and resilient economy.

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Other than washing dishes, glasses, and flatware, what are the other dishwasher responsibilities?.

Answers

Answer:

Dishwashers are responsible for unloading dirty dishes brought in bussers. Their role also involves scraping, sorting, and stacking dirty dishes prior to loading them into a dishwashing machine for cleaning. They also clean kitchen floors, sinks, and countertops to ensure a tidy work area.

Explanation:

so mainly they have other responsibileties i hope this helped dud :D

I needdd helllppp answerrr asapppp I’m being timed.

I needdd helllppp answerrr asapppp Im being timed.

Answers

Answer:

1. Weak Mayor

2. Council Manager

3. Strong Mayor

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