a box contains 10 equal-sized balls, numbered 1 to 10. two balls are drawn at random simultaneously. what is the probability that the numbers on the two balls will differ by more than 2?

Answers

Answer 1

The probability that the two balls are chosen will differ by more than 2 is 43/45

Probability is the likelihood or chance that an event will occur.

If a box contains 10 equal-sized balls and 2 balls are chosen at random from the box, the total outcome will be expressed as:

[tex]10C_2=\frac{10!}{(10-2)!2!}\\ 10C_2=\frac{10!}{8!2!}\\10C_2=\frac{10\times 9 \times 8!!}{8!2!}\\10C2=\frac{90}{2} =45 ways[/tex]

If the number on the two balls chosen will differ by less than or equal to 2, the expected outcomes are (1, 2), (1, 3) that is 2 outcomes

The probability that the two balls are chosen will differ by less than or equal to 2 is 2/45

The probability that the two balls are chosen will differ by more than 2 is 1 - 2/45 = 43/45

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Related Questions

an object starts from rest and accelerates uniformly in a straight line in the positive x direction. after 11 seconds, its speed is 70.0 m/s. determine the acceleration of the object.

Answers

the answer is 20 because

Please select the word from the list that best fits the definition The likelihood individuals have of sharing in the opportunities and benefits of society.

Answers

Answer:

life chances , the last answer on edge

Explanation:

The likelihood that individuals have of sharing in the opportunities and benefits of society are called: life chances.

What are life chances?

Life chances can be defined as the likelihood or probabilities that individuals living within a specific society (geographical location) have of sharing in the opportunities and benefits that are available.

This ultimately implies that, life chances is a measure of the opportunities and benefits of society that are likely to be shared by all individuals living within a specific society.

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one angle this 60 78 89 45 dnjr dkmxcnds

Answers

Answer:

i dont understand the question.

Explanation:

im jus gonna guess 45

What happened as a result of the Boxer Rebellion? Foreign powers were driven out of China. The US became the dominant country in China. The Boxers seized control of China’s government. Chinese resistance to foreign power was forced to end.

Answers

Answer:

D

Explanation:

on Edge 2021

The incident that happened as a result of the Boxer Rebellion is that the Chinese resistance to a foreign power was forced to end. Thus, the correct option for this question is D.

What do you mean by the Boxer rebellion?

The Boxer rebellion may be characterized as an insurgence of a particular community against foreigners. This movement happened in China in 1900 and was initiated by peasants but eventually bolster by the government. It is also known as the Boxer Uprising.

According to the context of this question, a Chinese confidential community particularly referred to as the Boxers undertook a violent movement in order to drive all foreigners from China. In response to them, numerous countries sent armed forces to cessation the attacks.

Therefore, the Chinese resistance to a foreign power was forced to end the incident that happened as a result of the Boxer Rebellion. Thus, the correct option for this question is D.

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Which pair of points should be used to find the line of best-fit for the scatterplot?. On a graph, a trend line would go through points K and M. J and L J and M K and L K and M

Answers

Answer: it’s D I did the quiz

Explanation:

Answer: Enjoy your A <3

Explanation:

what is the area in square meters of 6 triangles draw a diagram

Answers

The answer is:
I’m the left

Wealthy merchants such as Cosimo de’ Medici ruled Italian churches. suburban areas. city-states. rural areas.

Answers

Answer:

City States.

Explanation:

Wealthy merchants such as Cosimo de’ Medici ruled Italian churches to city states.

What is City states?

Ancient Greece had a polis, or city-state, form of government. Each city-state was set up with an urban core and the countryside surrounding it. In a polis, the city was enclosed by protective outside walls and included public areas with temples and governmental structures.

The summit of a hill, or acropolis, was frequently where the temples and political structures were erected. The well-known Parthenon in Athens is an iconic example of a monument that was the focal point of an ancient acropolis.

A temple dedicated to the goddess Athena was called the Parthenon. Since the city served as the epicenter of trade, commerce, culture, and political action, the bulk of people in a polis lived there.

Therefore, Wealthy merchants such as Cosimo de’ Medici ruled Italian churches to city states.

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What is Uruguay's capital? Uruguay City Montevideo Santiago La Basura

Answers

Answer:

Montevideo

Explanation: i just know because i paid attention to the video..

Answer:

montevideo

Example:

Assume that you pay $2,849.84 in state property taxes every year. If your property has an assessed value of $41,302, what is your state’s property tax rate? a. 0.077 b. 0.032 c. 0.014 d. 0.069 Please select the best answer from the choices provided A B C D

Answers

The state property tax rate is the ratio of the tax amount and the total amount earned which is 0.069

Amount paid in property tax = $2849.84

Total property value = $41,302

The tax rate of it's property can be calculated thus :

(Amount paid ÷ total value) × 100%

Tax rate = (2849.84 ÷ 41302) × 100%

Tax rate = 0.06900 × 100%

Tax rate = 6.9%

Therefore, the state property tax rate paid is 0.069

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Answer:

D

Explanation:

Based on her skills and interests, which careers would Coretta enjoy? Check all that apply. librarian professional hockey player musician zoologist English/French interpreter business owner electrical engineer

Answers

Based on her skills and interests, The careers that Coretta would enjoy are:

LiberianMusicianZoologistBusiness owner

The full question is below:

Coretta is thinking about which careers she would enjoy. She considers her personal skills and interests. She enjoys reading and animals. She always likes to take charge of situations and find solutions to problems, which means she could make a good leader. She plays the flute very well. Based on her skills and interests, which careers would Coretta enjoy? Check all that apply.

librarian

professional hockey player

musician

zoologist

English/French interpreter

business owner

electrical engineer

Humans often chooses career path from different alternative that they have. It is choose mostly based on Education, skills, hobbies etc.

Career paths is simply known as ways or paths taken by humans through an industry or one's path through an organization.

An example, if your goal is to become a top Singer, you have to be able to sing, have a good voice and practice to become top Singer.

Conclusively, some career paths often need credentials and as such an individual have to be thoroughly trained to be able to become one such as teaching.

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Answer:

Liberian

Musician

Zoologist

Business owner

Explanation:

Which letter shows the route of Pedro Cabral? World map with ocean routes marked and labeled A, B, and C Question 9 options: A B C

Answers

Answer:

B is your answer.

Explanation:

Cabral was to travel to India along the same route that Vasco da Gama took around Africa. He unintentionally sailed into the Atlantic Ocean by going too far south-west. Thus, option B is correct.

What is the history of Pedro Cabral?

On April 21, a scouting party set foot on the island, and on April 22, the main landing took place.

Cabral then publicly claimed what he termed True Cross Island for Portugal, built a cross, and held a Christian service to commemorate the event.

When Cabral arrived, he brought new tools and Christianity, which slightly altered how the native tribes were perceived.

Another explorer who sailed for Portugal, Amerigo Vespucci, was made possible by Cabral's trip to Brazil.

Therefore, He ended up at a new, to the Europeans, uncharted land on the South American coast as a result of this accident.

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a pedometer treats walking 1 step as walking 2.5 feet. define a function named feet_to_steps that takes a float as a parameter, representing the number of feet walked, and returns an integer that represents the number of steps walked. then, write a main program that reads the number of feet walked as an input, calls function feet_to_steps() with the input as an argument, and outputs the number of steps.

Answers

The required program written in python 3 defines a function which converts the number of feets walked into steps and returns an integer value for the number of steps. The program goes thus :

def feet_to_steps(feet):

#initialize a function called feet_to_steps

num_steps = feet / 2.5

#divide the number of feets by 2.5 and assign the number of steps to the variable num_steps

return round(num_steps)

#return the rounded integer value of num_steps

your_feet = eval(input('Enter feets number of feets walked : '))

#prompts the user to input a float value for the number of feets

#A sample run of the program is given below and attached.

print(feet_to_steps(your_feet), ' steps')

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relationships develop through a process of __________.

Answers

Answer:

i dont know because ive never been in a relationship, lonely as hell

Explanation:

write if ur also lonely

if 9 people greet each other at a meeting by shaking hands with one another, how many handshakes will take place?

Answers

81 because each person has 9 people to greet and there’s 9 people so 9x9=81

which kind of disturbance is created by moving a spring toy up and down?

Answers

perpedicular to the wave motion

Hope this helped you- have a good day bro cya)

Tandry cannot figure out how his teacher wants him to answer a short essay question on the test he's taking. Where should he look to get more information? a. In his study guide c. In the test directions b. On his classmate’s paper d. None of these Please select the best answer from the choices provided A B C D

Answers

Answer: C. In the test directions

Explanation: On Edge!

The place that he  should look to get more information is In the test directions.

What is a short essay question?

Short essay questions are known to be very harder to write when compared to personal essay but they are ones that usually have a word limit.

A short essay may be as short as 150 words (a paragraph) and thus your answers need to be clear and concise and thus  test directions will help Tandry to get answers as he will be more focused on the essay.

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Saving money for a house is a . Saving money for a rainy day or an emergency is a . Saving money for retirement is a .

Answers

Answer:

Saving money for a house is a

✔ long-term goal

.

Saving money for a rainy day or an emergency is a

short-term goal

.

Saving money for retirement is a

✔ long-term goal

.

Explanation:

Saving money for a house is a

Long term goal

Saving money for a rainy day or an emergency is a

Short term goal

Saving money for retirement is a

Long term goal

Goals are those objectives which a person wants to achieve in a particular time period.

As a result of this, we can see that there are short and long term goals which are goals that are expected to be fulfilled in a brief and longer period of time.

This is because, when a person is saving money for a house, it is likely to be for a long time, because the cost of buying a house is high, however, saving for an emergency can be considered a short term goal because an emergency can occur at any time.

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How are the federal executive branch and most state executive branches similar? Both have department heads that manage government agencies. Both have a vice president serving as second in command. Both allow citizens to elect all leaders of executive departments. Both can draft and pass laws governing citizens’ behavior.

Answers

The federal executive branch and most state executive branches are similar because A. Both have department heads that manage government agencies.

The Federal executive branch is responsible for enforcing the laws of the land. The department head is the President. The state executive branch also has a department head that's known as the Governor.

It should be noted that the legislative government drafts and pass laws that govern citizens’ behavior. Also, the statement that both have a vice president serving as second in command is incorrect. The state government doesn't have a vice president.

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Answer:

both have department heads that manage government agencies

Explanation:

which linear inequality is represented by the graph? y > x – y ≥ x + y ≤ x + y < x –

Answers

What you must do for this case first is to find the equation of the line.

We have then that by substituting the values of x = 0 and x = 3 we obtain:

y = 0.2

y = 2.2

Respectively.

So, the line is:

y = 2 / 3x + 1/5

Then, the points that satisfy the inequality are all those of the shaded region.

Answer:

The inequality is:

y ≤ 2 / 3x + 1/5

What reason does Senator Beveridge give for China’s importance to the United States? The United States could establish colonies in China. China would supply the United States with valuable resources. China would be the best market for American-made goods in the future.

Answers

Answer:

China would be the best market for American-made goods in the future.

Explanation:

The reason Senator Beveridge give for China’s importance to the United States is China would be the best market for American-made goods in the future.

What are goods?

Goods are defined as anything from goods to supplies to raw materials to finished goods. According to excludability and rivalrousness, there are four distinct sorts of products in economics: private goods, public goods, common resources, and club goods. In order to live our daily lives, we need goods. We cannot survive without them. They gain money by doing this.

There are various reasons given about Chains importance by Senator Beveridge. He thinks that trade with Asian markets can boost the US economy.

Thus, the reason Senator Beveridge give for China’s importance to the United States is China would be the best market for American-made goods in the future.

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Generally, females tend to be more flexible than males. Question 5 options: True False

Answers

The Answer is True

Explanation: I did the test and got a 100% tell me if this helped :)

Although Portuguese, I led the Spanish expedition that was the first to circumnavigate the Earth. Who was I? Question 3 options: Pedro Cabral Vasco da Gama Ferdinand Magellan

Answers

Answer:

Who is Ferdinand Magellan

Ferdinand Magellan who was the first sailor to circumnavigate the Earth.

Have a happy day! <3Miss Hawaii

Answer:

Ferdinand Magella

Explanation:

are all news and information in the internet true why or why not

Answers

Answer:

fake

Explanation:

uyyuujhsjjdjdjrjrjrhrhr

Answer:

in my own opinion it is no

Explanation:

because some people don't go by the full story they sometimes use bias facts  

like joe biden he rigged the voting machines and biased that he won fair and square.

closing entries may be prepared from all of the following except

Answers

Answer:

what is the question

Explanation:

Read the excerpt from the journals of Lewis and Clark, then answer the question. Based on what you’ve learned so far, why did Lewis and Clark hand out different-sized medals? Because they owed one chief more than the other. Because some chiefs had given them more valuable gifts first Because they wanted to indicate that some chiefs were more powerful in their eyes than others

Answers

Answer: C I just did it.

Explanation: I got it correct

Because they wanted to indicate that some chiefs were more powerful in their eyes than others is the correct option for journal.

What is a journal?

A general journal is a daybook or subsidiary journal used to record transactions connected to opening stock, depreciation, adjustment entries, accounting errors, etc.

Journal vouchers, copies of management reports, and invoices are all examples of source materials for general journal entries.

Since transactions were first recorded in a journal before being physically posted to accounts in the general ledger or a subsidiary ledger, journals are prime entry books and can also be referred to as books of original entry.

In it, debiting one or more accounts and crediting another one or more accounts with the same sum total is used to record double entry accounting entries.

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what is the edge length of a simple cubic unit cell made up of atoms having a radius of 158 pm?

Answers

Answer:

The edge length of a BCC unit cell is 352 pm

Explanation:

       When all angles are exactly 90 degrees, all lengths are identical, and each axis is designated by a Cartesian coordinate, the cubic unit cell is the smallest repeating unit (x,y,z). Eight atoms are located at each corner of each cubic cell, and eight other cells share each atom.

Is the fcc a cubic cell?

         Atoms are found at the corners and centers of every cube face in FCC, which is also a cubic structure. Four atoms make up an FCC unit cell, with each corner atom representing a 1/8 atom and each face center atom representing a 1/2 atom. FCC crystals have an APF of 0.74.

         Ferrite is the name of the alpha phase. Steels frequently contain the mineral ferrite, which has a Body Centred Cubic (BCC) structure that is less tightly packed than FCC.

        For instance, the cubic crystal structure is made up of three different types of unit cells: plain cubic, face-centered cubic, and body-centered cubic.

        The following is the formula for calculating edge length:

a = √8 × r  where r = radius and a = edge length

Given:   r = 158 pm

changing the values in the formula above.

a = √8 × 175  = 352 pm

Therefore, the edge length will be 352 pm.

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which of the following statements is true regarding team composition?

Answers

Answer:

A team's performance is merely the summation of its individual members' abilities.

Explanation:

Working in teams increases collaboration and allows brainstorming. As a result, more ideas are developed and productivity improves. Two or more people are always better than one for solving problems, finishing off difficult tasks and increasing creativity.Performance is merely the summation of each group member's individual contribution.The collective efforts of the members results in a level of performance greater than the sum of the individual parts .

Fill in the blank with the Spanish word that best completes the following sentence. A mi mejor amigo le gusta_________en la escuela. programa campeonato periódico luchar

Answers

Answer:

programa

Explanation:

programa

The Spanish word that  best completes the given sentence is the word;

luchar.

The statement we are given with the blank is;

A mi mejor amigo le gusta_________en la escuela.

Now the meaning of "A mi mejor amigo le gusta" is; My best friend likes.Now, the meaning of the last part "en la escuela" is "at school".

Looking at the options;

A) programa can't be the right option because it means program and program is for TV not school.

B) campeonato is championship and that doesn't fit into the statement because school is not primarily for championship.

C) periódico means newspaper and it is books that are for school not newspaper.

D) luchar means to fight and this could be the best statement because there are different personalities in school and someone could be violent and love fighting to make his/her point.

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how does education transform people and their gender roles towards a better and unbiased society?

Answers

Answer:

As we comprehend what is actually going on around us, we develop into less judgmental and rude people. Although all individuals were taught differently than they are now, education is critical in combating disinformation and a lack of knowledge.

Name 4 types of nonrewable and 6 renewable energy resources

Answers

Answer:

Renewable:

1. Wind

2. Solar

3. Hydro

4. Biomass

5. Tidal

6. Geothermal

Nonrenewable:

1. Oil

2. Natural Gas

3. Coal

4. Nuclear energy

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