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

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 :)

newton's second law in 1 dimension: a catcher stops a 0.15-kg ball traveling at 40 m/s in a distance of 20 cm. what is the magnitude of the average force that the ball exerts against his glove?

Answers

Explanation:

v=0, u=40m/s, S=20cm =0.2m, mass = 0.15kg.

by the formula,

v²-u²=-2aS

0-1600=-20×0.2×a

-1600/(-2×0.2) = a

4000m/s²=a

Force = mass × acceleration.

F=ma = 0.15×4000 = 600N.

hope this helps you.

holly has an unknown substance in a beaker. she wants to determine the relative ph of the unknown substance. she places a piece of blue litmus paper into the substance, and the litmus paper stays blue.the substance in the beaker

Answers

Answer- 8-11 weak alkaline

Explanation
I looked it up

which of the following is true about graphing polynomial​ functions?

Answers

I'm really sorry but you didn't gave any options...

Heredity is the transmission of genetic traits from parents to their offspring. Please select the best answer from the choices provided T F

Answers

Answer:

True

Explanation:

Answer:

The answer is T (True)

Explanation:

what is the most important thing that you need to consider in writing an essay?

Answers

Answer:

It depends. (check explanation)

Explanation:

To be honest, it depends on the essay you're writing. If it's a persuasive essay, then you need to focus on making your points solid and undebatable. If it's a research essay, you need to focus on citing a lot of sources. However, one thing needs to be in common in all your essays that teachers look for. Evidence. Evidence is key to developing your essay and making strong points. Most teachers look for evidence in your paragraphs and they will make your writing much more professional and give you a base to build your ideas off of. I hope this helped, please let me know if you have any further questions. :))

what is the effect of jim’s dialogue in the story? check the three boxes that apply.

Answers

Answer:

The answer is;

B. It presents Jim’s language as he really speaks.

C.It shows that Jim is comfortable enough with Huck to share his negative opinion of the two men.

D.It contrasts Jim’s uneducated speech with his ability to recognize the men as rascals.

Explanation:

Here is the text that goes w/ the question:

"But, Huck, dese kings o' ourn is reglar rapscallions; dat's jist what dey is; dey's reglar rapscallions."

I got this right on Edg. (2021)

how can accessibility influence your career or study choice

Answers

Accessibility could influence your career or study choice greatly.

Use the drop-down menus to complete the statements. The Amendment protects the right of individuals and groups to petition the US government. People with particular economic or political concerns often form to influence lawmakers to act on their behalf. Powerful and influential groups called committees finance campaigns and other political interests. cannot contribute directly to a politician’s campaign, but they can pay for advertising in support of a candidate. "Dark money" is defined as contributions to political candidates and groups from

Answers

Answer:

Explanation:

first,Interest groups, political action, Super pacs, and people whose identities are not disclosed.

The correct answer which is given to the below descriptions are:

The Amendment protects the right of individuals and groups to petition the US government.

Interest groups

People with particular economic or political concerns often form to influence lawmakers to act on their behalf.

Political Action

Powerful and influential groups called committees finance campaigns and other political interests cannot contribute directly to a politician’s campaign, but they can pay for advertising in support of a candidate.

Super PACs

"Dark money" is defined as contributions to political candidates and groups from

People whose identities are not disclosed.

Interest Groups

This refers to the group of people who come together in order to achieve a common group

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what is the single most important fact that predicts the person with whom you will become friends or have a romantic relationship?

Answers

The single most important fact that helps in giving prediction as regards person with whom one will be having friendship or a romantic relationship with is the amount of contact you have with people.

Romantic relationship can be regarded as kind of relationship involving some interpersonal relationship.

This could entails physical as well as emotional intimacy, However to have this kind of relationship, it always depends on the contact one has with the people we tends to have an intimate relationship with.

Therefore, the amount of contact we have play a vital roles because it helps to understand the person very well and the person lifestyle.

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your siblings are arguing about who will be more successful

Answers

Answer:

you

Explanation:

because while they are.arguing you are learning from their mistakes

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:

the dimensions of a rectangular solid are measured to be 1.27 cm, 1.3 cm, and 2.5 cm. the volume should be recorded as

Answers

The Volume of the rectangular solid should be recorded as 4.1275 cm³

A rectangular solid is a three dimensional shape with six rectangular faces  placed perpendicularly to one another.

The volume of a rectangular solid = length * width * height

Given the dimensions of a rectangular solid as 1.27 cm, 1.3 cm, and 2.5 cm, its volume is:

Volume of the rectangular solid = 1.27 cm * 1.3 cm * 2.5 cm = 4.1275 cm³

The Volume of the rectangular solid should be recorded as 4.1275 cm³

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¿Qué dos datos debe tener para calcular la velocidad promedio de un objeto?​

Answers

Answer:

depende del peso del objeto y la longitud de la distancia para saber la velocidad

Which are parts of an effective argument? Choose three answers. a claim unreliable sources evidence biased opinions a counterclaim a bibliography

Answers

Answer:claim, counterclaim, and evidence

Explanation: it’s obvious

define a function calc_pyramid_volume() with parameters base_length, base_width, and pyramid_height, that returns the volume of a pyramid with a rectangular base. calc_pyramid_volume() calls the given calc_base_area() function in the calculation. relevant geometry equations: volume = base area x height x 1/3 (watch out for integer division). sample output with inputs: 4.5 2.1 3.0 volume for 4.5, 2.1, 3.0 is: 9.45

Answers

The required program which calculates the volume of a pyramid written in python 3 is given below :

def calc_pyramid_volume(base_length,base_width,pyramid_height):

#initialize a function named calc_pyramid_volume and takes in 3 parameters

volume = (1/3) * base_length*base_width* pyramid_height

#the volume of pyramid formulae is used on the Parameters and the value is assigned to the variable named volume

return round(volume,2)

#the function returns the volume value rounded to 2 decimal places.

print(calc_pyramid_volume(4.5,2.1,3.0))

#the sample run

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description that reflects indonesian culture melody

Answers

Answer:

Indonesia dance represents the ethnic richness including its Indonesian nations ethnic communities.

Explanation:

Hope this helps :}

Pls mark brainliest :P

And have an amazing day <3

The music of Indonesia demonstrates its cultural diversity, the local musical creativity, as well as subsequent foreign musical influences that shaped contemporary music scenes of Indonesia.

Which option correctly describes the pattern of reactivity and electronegativity in nonmetals?

Answers

Answer:

Both reactivity and electronegativity decrease down a group.

I'm assuming this is multiple choice...

Explanation:

this graph gives the growth of a plant over time. what is the slope of the line, and what does the slope mean in this situation? select from the drop-down menus to correctly complete the statement. the slope is choose... , which means that the plant choose... by choose... every day.

Answers

The slope is the ratio of rise to the run of a graph. The slope of the plant growth to time graph given in the question is 0.5

Slope = Rise / Run

Rise = y2 - y1 = (20 - 10) = 10Run = x2 - x1 = (50 - 30) = 20

Slope = Rise / Run = 10/20 = 1/2 = 0.5

Hence, the slope of the graph is 0.5.

This means that the plant's height increases at a rate of 0.5 cm everyday .

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What does the underlined word mean in the following sentence? ¿A tu madre le gusta tomar jugo de naranja? orange juice coffee milk soda

Answers

Answer:

Orange Juice

Explanation:

The sentence in Spanish says: Does your mother like to drink orange juice?

Answer:

orange juice

beans

beef

jugo

una fruta

jamón

merienda

durazno

el limón

la piña

el aguacate

correct

correct

correct

incorrect

correct

nuestra

su

sus

mi

Pablo come sus frijoles.

¿Son rojas tus fresas?

Mi bistec está delicioso.

Explanation:

all are right :) it is my pleasure.

what are the challenges of planning for life after high school

Answers

Answer:

it all depends on if you want to get a job or start your own business and how sucessful you will be with your diploma and if you go to college

Explanation:

A high-risk investment is characterized by a greater percentage chance of loss. superior prospects for short-term gains. a smaller percentage chance of loss. lower interest and compound interest rates.

Answers

Answer:

a greater percentage chance of loss.

Explanation:

A high-risk investment is characterized by a greater percentage chance of loss.

What is high-risk investment?

A high-risk investment is one that has a higher chance of losing money due to its volatile nature.

These investments are typically associated with a higher level of uncertainty because their value can fluctuate rapidly in response to market conditions, economic factors, and other external factors.

A high-risk investment has a higher percentage chance of losing money. High-risk investments are characterized by a higher level of uncertainty or volatility, and they can result in significant losses.

While they may offer higher returns, they also carry a higher risk of losing some or all of the invested capital.

Thus, investors who are willing to take on more risk must be prepared to suffer significant losses.

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Who led the Protestant Reformation? a. Martin Lawrence b. Martin Luther II c. Martin Luthley d. Martin Luther Please select the best answer from the choices provided A B C D

Answers

Answer:

D. martin luther

Explanation:

was an Augustinian monk and university lecturer in wittenberg when he composed "95 theses" which protested the popea sale of reprieve

source(s)

https://www.britannica.com/biography/Martin-Luther

The Protestant Reformation was led by Martin Luther II. The correct option is b.

What is Protestant Reformation?

In the 1500s, the Protestant Reformation was indeed a religious progressive movement that drifted through Europe.

It resulted in the formation of a branch of Christianity known as Protestantism, a term used to refer to the many religious groups that split from the Roman Catholic Church due to doctrine differences.

The Reformation is said to have begun on October 31, 1517, when Martin Luther posted his Ninety-five Theses on the door of the Castle Church in Wittenberg, Germany. Find out more about Luther's 95 Theses.

Martin Luther, a German instructor and hermit, started the Protestant Reformation in 1517 by challenging the Catholic Church's teachings.

In the 1500s, the Protestant Reformation was a religious reform movement that swept through Europe.

Thus, the correct option is b.

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jason and cora are riding on a roller coaster, which is producing high levels of arousal. they attribute their aroused state to romantic feelings for each other and feel they are falling in love. which theory would be best able to account for this outcome?

Answers

Ghhbfgbjkkgghnfgbbe the Hasmonean funny snack smells flank

How long does it take a 1.51 × 104 W steam engine to do 8.72 × 106 J of work? Round your answer to three significant figures. 1.02 × 101 s 5.77 × 102 s 7.21 × 105 s 1.32 × 1011 s

Answers

Answer:

5.89seconds

Explanation:

power is workdone over time, time is therefore workdone over power

(8.72*106)/(1.51*104)

=5.885

~5.89 seconds

Answer:

5.77 x 10^2 s

Explanation:

I got it right on edge

What is the polynomial 3y2 (y 7)2 – 15 after it has been fully simplified and written in standard form? 4y2 34 3y2 y 34 4y2 14y 34 4y4 34

Answers

Answer:

What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

A) 4y2 + 34

B) 3y2 + y + 34

C) 4y2 + 14y + 34 <<<CORRECT

D) 4y4 + 34

Explanation:

Dec. 2021 Edge Cumulative exam

The polynomial [tex]3y^2 (y 7)^ 2 - 15[/tex] after it has been fully simplified and written in standard form as [tex]4y^4 + 34[/tex].

A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients.

It involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x.

A polynomial is a mathematical expression made up of indeterminates and coefficients that only involves the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

To fully simplify and write the polynomial [tex]3y^2(y-7)^2 - 15[/tex] in standard form, we first need to expand the squared binomial:

[tex](y-7)^2 = (y-7)(y-7) = y^2 - 14y + 49[/tex]

Now we can substitute this expression back into the original polynomial and simplify:

[tex]3y^2(y-7)^2 - 15 = 3y^2(y^2 - 14y + 49) - 15\\= 3y^2y^2 - 42y^3 + 147y^2 - 15\\= 3y^4 - 42y^3 + 147y^2 - 15[/tex]

So the fully simplified polynomial, written in standard form, is:

[tex]3y^4 - 42y^3 + 147y^2 - 15[/tex]

Therefore, the correct answer is [tex]4y^4 + 34.[/tex]

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Social Security and Personal Income tax are called Payroll taxes because _____. a. they help to balance the national payroll budget. b. they are automatically deducted from payroll. c. once paid, they are used to supplement the paychecks of people in need. d. you need to prove you have paid them before you can pick up your paycheck.

Answers

Answer:

b.  they are automatically deducted from payroll.

Explanation:

Answer:

b. they are automatically deducted from payroll

Explanation:

the solution of the equation 25 + x = 10 is.........................

Answers

Answer: x=-15


Explanation: When doing this equation you want to move the 25 over and subtract it from 10 to get what x equals

Hope this helps!

which of the following statements best describes the concept of a function?

Answers

Functions in programming parlance refers to a logical and unique way of bundling a set of instructions together into one handy and single program which can be reused in other programs.

Functions are a very important concept of programming as they allow a task to be written once and could be called in an infinite amount of time when needed.

They take a function name and optional argument. The syntas for writing functions any differ from one programming language to another.

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What is seen in the image below? A sketch by Leonardo da Vinci of a platform with wires attached to circular blades in the sky.

Answers

Answer:

Blades in the sky known as ¨The Helicopter¨

Explanation:

Just took the test got 100%

Answer: Blades in the sky known as ¨The Helicopter¨

Explanation: got 100

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