There are 12 of the zodiac. how many people are needed to guarantee that at least six of these people have the same sign? your answer must be one integer.

Answers

Answer 1

Answer:es, the answer is 61. This is related to a mathematical principle called the Pigeonhole Principle, which states that if you are trying to sort  n+1  objects into k sets (where nk=r;n,k,r∈Z+), at least one set must contain at least r+1 objects. (This can be proven by proof by contradiction, but is pretty standard and so generally can just be used as justification of an answer by itself.)

For your problem, you have 12 signs of the zodiac - these are your 12 sets (so k=12). You are looking to find how many it takes before a set contains 6 objects (so r+1=6 and thus r=5). Therefore, n+1=r×k+1=12×5+1=61.

Explanation:


Related Questions

What is the difference between vertex and axis of symmetry

Answers

The vertex is the highest point if the parabola opens downward and the lowest point if the parabola opens upward. The axis of symmetry is the line that cuts the parabola into 2 matching halves and the vertex lies on the axis of symmetry.

hope it helps...!!!

what reaction does glucose-6-phosphatase catalyze?

Answers

Answer:

In glycolysis a separate enzyme (Hexokinase) adds a phosphate onto Glucose and is ATP dependent. The reaction catalyzed by Glucose-6-Phosphatase is a hydrolysis which in water is extremely difficult to reverse- because water is in very high concentration.

Explanation:

Find a parametric equation of the line m through p and q

Answers

The parametric equation of the line illustrates the independent variables x, y and z

The parametric equation of the line and direction is x = 5 + t; y = -1; z = 3 -2t

How to determine the parametric equation?

The question is incomplete, as the points and the lines are not given.

So, I will make use of the following assumed parameters:

The line passes through:  (5, -1, 3)The direction is ~v = <1, 0, -2>

The parametric equation of the line is represented as:

r<x,y,z> = Line + t<direction>

This gives

r<x,y,z> = (5, -1, 3) + t<1, 0, -2>

Express the equation in terms of x, y and z

x = 5 + t * 1

y = -1 + 0 * t

z = 3 -2 * t

Solve the equations

x = 5 + t

y = -1

z = 3 -2t

Hence, the parametric equation of the assumed line and direction is x = 5 + t; y = -1; z = 3 -2t

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drag the labels to the appropriate location in the figure.

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The answers to the labels in their appropriate location are:

HydrophilicHdrophobicTail face downTail face upHydrophilicHydrophobicHydrophilic

What is hydrophilic?

The term hydrophilic is known to be a term that connote the ability of an organism or object to be attracted to water.

It is also said to be the ability of a substance to be able to easily dissolve in, or be mix up and saturated by water. They are substance or objects that do interact with or are known to be influenced by water.

See full question below

Drag the labels to their appropriate locations in the figure.

First, drag labels to targets (a) and (b) to indicate whether these environments are hydrophilic or hydrophobic.

Next, drag the phospholipid layers to targets (c) and (d) to indicate how they are oriented in the plasma membrane.

Finally, drag labels to targets (e), (f), and (g) to indicate which portions of the membrane protein are hydrophilic and which are hydrophobic.

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which of the following is a clinical sign of bulimia nervosa?

Answers

Answer:

tu mamá

Explanation:

la mama de la mama de la mama de la mama de la mama de la mama de la mama de la mama de la mama

How many grams of sodium chloride must be added to make 400. ml of a 0. 600 m sodium chloride

Answers

Taking into account the definition of molarity, 14.028 grams of sodium chloride must be added to make 400 mL of a 0.600 M sodium chloride.

Definition of molarity

Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.

The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:

[tex]Molarity=\frac{number of moles}{volume}[/tex]

Molarity is expressed in units [tex]\frac{moles}{liter}[/tex].

Moles of sodium chloride

In this case, you know:

Molarity= 0.600 Mnumber of moles= ?volume= 400 mL= 0.400 L (being 1000 mL= 1 L)

Replacing in the definition of molarity:

[tex]0.600 M=\frac{number of moles}{0.400 L}[/tex]

Solving:

number of moles= 0.600 M× 0.400 L

number of moles= 0.24 moles

Mass of sodium chloride

Being the molar mass of sodium chloride 58.45 [tex]\frac{g}{mole}[/tex], that is the amount of mass that a substance contains in one mole, the mass of sodium chloride can be calculated as:

0.24 moles×58.45 [tex]\frac{g}{mole}[/tex]= 14.028 grams

Finally, 14.028 grams of sodium chloride must be added to make 400 mL of a 0.600 M sodium chloride.

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Decide if the following sentence is grammatically correct or incorrect. tú diríamos la historia. correct incorrect

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Answer:

Incorrect

Explanation:

Answer:

incorrect

Explanation:

edge 2021

Which detail from black boy best helps to develop the central idea that richard learns face his fears to help feed his family?

Answers

Answer:

"I hit again and again, dropping the money and the grocery list. The boys scattered, yelling, nursing their heads, staring at me in utter disbelief. They had never seen such frenzy."

Explanation:

just took test

Answer: "I hit again and again, dropping the money and the grocery list. The boys scattered, yelling, nursing their heads, staring at me in utter disbelief. They had never seen such frenzy."

Explanation:

just took test

Introduction to linear algebra 5th edition solution

Answers

Answer:

Whats your question?

What do you need help on?

I took algebra a while ago so I may be able to help you

Explanation:

What can you say about the series an in each of the following cases?

Answers

The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.

What are the rules for Ratio Test for Convergence?

The rules are:

If the limit is less than 1 when conducting the ratio test, your series is definitely convergent. The test is inconclusive if the limit is equal to 1. The series is divergent if the limit is greater than 1.

Using this knowledge, we are able to state that

A is not conclusive.C's convergence is absolute.There is divergence with D and E.B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.

The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.

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Select the correct location on the number line. plot the on the number line.

Answers

Answer:

ladysmith

Explanation:

because is a area i live in

If the current through the 5.0-ohm resistor is 1.0 ampere, the current through the 15.0-ohm resistor is

Answers

The current through the 15 ohms resistor of the given circuit with a calculated voltage of 5 V is; 0.33 A

What is the current through the resistor?

We are given;

Current through the 5 ohm resistor; i = 1 A

Formula for Voltage is;

V = iR

V = 1 * 5

V = 5V

Now, since the 5 ohms resistor and the 15 ohms resistor are in the same circuit, it means that they will have the same voltage. Thus;

Current through the 15 ohms resistor is;

I = V/R

I = 5/15

I = 0.33 A

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Two objects are placed in thermal contact and are allowed to come to equilibrium in isolation. the heat capacity of object a is three times the heat capacity of object b and the initial temperature of object a (ta) is twice the initial temperature of object b (tb).

Answers

here is the answer below

What are the solutions of x2 = 8 – 5x? startfraction 5 minus startroot 57 endroot over 2 endfraction comma startfraction 5 + startroot 57 endroot over 2 endfraction startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction startfraction negative 47 over 4 endfraction comma startfraction 67 over 4 endfraction startfraction negative 67 over 4 endfraction comma startfraction 47 over 4 endfraction

Answers

The solution of the equation x² = 8 - 5x is startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction

How to solve quadratic equation?

x² = 8 - 5x

x² + 5x - 8 = 0

Using quadratic formula

x = -b ± √b² - 4ac / 2a

= -5 ± √5² - 4(1)(-8) / 2(1)

= -5 ± √25 -(-32) / 2

= -5 ± √25 + 32 / 2

= -5 ± √57 / 2

= -5 + √57 /2 or -5 -√57/2

Therefore, the correct answer is; startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction

-5 - √57 / 2, -5 + √57 / 2

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Answer:

B)

Image to help is below here, sorry if its bad quality but good luck <3

The character of su-jen is mainly revealed through her —

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There are different kinds of character. The character of Su-Jen is mainly revealed through her  thoughts.

What was the except about?

The story about Su-Jen is gotten from a novel that was written about Su-Jen, a young girl who had to go all the way to  China from US. along with her to meet her father.

It was a first time meeting for Su-Jen and it was an emotional one. All the character seen about Su-Jen is from her thoughts that were written out.

See options below

actions

dialogue

appearance

thoughts

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Antigone tells her sister, "’tis thine to show / if thou art worthy of thy blood or base." the word or tells you that base is being contrasted with worthy of thy blood. given that, what do you suppose base means? write your ideas here.

Answers

The word "base" as used in the passage refers to; loyalty to the family, to the family bond that Ismenia has.

What is the meaning of the word in the passage?

Antigone speaks the words in the given passage to her sister Ismenia. Now, in these words, Antigone questions Ismenia's loyalty and commitment to the family by the use of the word "base" to mean family loyalty.

The reason for use of that word is because their brother was banned from receiving a decent funeral, which prevented his soul from being able to rest in peace. The king then ordered that whoever made a feneral for the brother of Ismenia and Antigona would be condemned to death. However Antígona, in loyalty to her brother, was willing to take that risk and wanted to know if Ismenia had the same loyalty.

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Can you conclude that a = b if a and b are two sets with the same power set?

Answers

The sets A and sets B contains items called elements

It is true that the set A is equal to set B

How to determine the true statement?

The sets are given as:

Set A and set B

Since the sets have the same power set, then we have:

P(A) = P(B)

The above means that:

For every element X in A, then the element is also in B

And

For every element Y not in A, then the element is also not in B

So, we can conclude that:

All subsets of the set A are subsets of the set B and vice versa

Hence, the set A is equal to set B

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the infection that puts women at risk for cervical cancer is

Answers

Answer:

human papillomavirus (HPV)

Explanation:

Does the justice system neglect forgiveness answer key

Answers

Answer:

Forgiveness can and should exist within the criminal justice system.

Explanation: I hope this helps

When data are categorized as, for example, places of residence (rural, suburban, urban), the most appropriate measure of central tendency is the

Answers

If data are categorized as, for example, places of residence, the measure of central tendency to use is the median

What is the median?

This is known to be the middle number in a group of sorted numbers, that are said to be ascending or descending.

From the above statement, the data of distributions that extreme values, the median is a best measure of central tendency as it will give the right accuracy we need.

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what does this part of the soliloquy reveal about hamlet?

Answers

Answer:What does this part of the soliloquy reveal about Hamlet? He still loves Ophelia. He believes the ghost was real. He is planning his revenge.

Explanation:

What happens to standard deviation when mean decreases

Answers

Answer:

Data are getting more concentrated around the mean

Explanation:

Use series to approximate the definite integral i to within the indicated accuracy. i = 1/2 x3 arctan(x) dx 0 (four decimal places)

Answers

The expression [tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex]  is an illustration of definite integrals

The approximated value of the definite integral is 0.0059

How to evaluate the definite integral?

The definite integral is given as:

[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex]

For arctan(x), we have the following series equation:

[tex]\arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1}}{2n + 1}}[/tex]

Multiply both sides of the equation by x^3.

So, we have:

[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1}}{2n + 1}} * x^3[/tex]

Apply the law of indices

[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1 + 3}}{2n + 1}}[/tex]

[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]

Evaluate the product

[tex]x^3 \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]

Introduce the integral sign to the equation

[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =\int\limits^{1/2}_{0} \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]

Integrate the right hand side

[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}} ]\limits^{1/2}_{0}[/tex]

Expand the equation by substituting 1/2 and 0 for x

[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}} ] - [ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{0^{2n + 4}}{2n + 1}} ][/tex]

Evaluate the power

[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}} ] - 0[/tex]

[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}}[/tex]

The nth term of the series is then represented as:

[tex]T_n = \frac{(-1)^n}{2^{2n + 5} * (2n + 4)(2n + 1)}[/tex]

Solve the series by setting n = 0, 1, 2, 3 ..........

[tex]T_0 = \frac{(-1)^0}{2^{2(0) + 5} * (2(0) + 4)(2(0) + 1)} = \frac{1}{2^5 * 4 * 1} = 0.00625[/tex]

[tex]T_1 = \frac{(-1)^1}{2^{2(1) + 5} * (2(1) + 4)(2(1) + 1)} = \frac{-1}{2^7 * 6 * 3} = -0.0003720238[/tex]

[tex]T_2 = \frac{(-1)^2}{2^{2(2) + 5} * (2(2) + 4)(2(2) + 1)} = \frac{1}{2^9 * 8 * 5} = 0.00004340277[/tex]

[tex]T_3 = \frac{(-1)^3}{2^{2(3) + 5} * (2(3) + 4)(2(3) + 1)} = \frac{-1}{2^{11} * 10 * 7} = -0.00000634131[/tex]

..............

At n = 2, we can see that the value of the series has 4 zeros before the first non-zero digit

This means that we add the terms before n = 2

This means that the value of [tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex] to 4 decimal points is

[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.00625 - 0.0003720238[/tex]

Evaluate the difference

[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.0058779762[/tex]

Approximate to four decimal places

[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.0059[/tex]

Hence, the approximated value of the definite integral is 0.0059

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Describe the importance of the clay sculpture when creating bronze sculptures. (site 1)

Answers

The clay sculpture is the first step in the process of making a bronze sculpture.

In exercises 3–6, find an explicit description of nul a by listing vectors that span the null space.

Answers

The explicit description of null A by listing vectors that span the null space.

[tex]\left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]

What is the Matrix Vector?

We are given the matrix vector;

[1  3 5 0]

[0 1 4 -2]

Now, let's find the general Ax = 0 solution for the free variables. Thus;

[A, 0] =  

[1 3 5  0]

[0 1 4 -2]

Thus;

R₁ → R₁ - 3R₂

⇒ [1 0 -7  6 0]

   [0 1 4  -2 0]

The general solution is:

x₁ = 7x₃ - 6x₄

x₂ = -4x₃ + 2x₄

x₃ and x₄ are free variables

x = [tex]\left[\begin{array}{ccc}x_{1} &&&x_{2} \\x_{3} \\x_{4} \end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] + x_{4} \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]

Thus, Null A is;

[tex]\left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]

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Which characteristic of the sun primarily determines the orbits of planets in our solar system?

Answers

Answer:

Strong Gravitational Field

Explanation:

Fundamentals of algebra practice book grade 7 pdf answer key

Answers

An example of Fundamentals of algebra practice book grade 7 question is A game-worn jersey sells for $100 more than a new jersey. Write an equation for this scenario.

What is the Fundamentals of algebra practice book about?

The Fundamentals of Algebra is a book that is made for Grade 7. It is a practice book that is made up of exercise and answers that help the student to have a better knowledge of algebra.

The equation for the above scenario is:

g = game - worn jersey

The Equation therefore will be: g=100+n

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Two identical blocks a and b are connected by a lightweight rope. block a is pulled to the right by a constant force f0. the blocks are moving to the right across a rough surface and approach point p, where the rough surface transitions to a surface with negligible friction. how does the tension, t, in the rope connecting the blocks change, if at all, as block a passes point p?

Answers

When block A passes point P, the negligible friction will lead to the tension, T, between the two blooks A and B increasing.

What happens to the tension after point P?

The tension in the rope can be found by the formula:

= Coefficient of friction x Mass x Acceleration

Thanks to the transition to the surface after point P, the friction is now negligible which means that there will be an increase in acceleration.

This will increase the tension as shown by the formula for tension.

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Prior to the 1860s, adolescence was not seen as a separate life stage.

Answers

It is a true statement that prior to the 1860s, an adolescence was not seen as a separate life stage.

What was the adolescent situation prior to 1860s?

Prior to 1860s, people were usually only separated into either kids or adults.

Thus, it meant that the Kids in adolescence age already carried the burden equivalent to those of adults in this modern day.

Therefore, we can conclude that is a true statement that prior to the 1860s, an adolescence was not seen as a separate life stage.

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What did passage of the immigration act of 1965 accomplish?the law lowered the number of asians allowed to immigrate to the us.the law allowed no more immigration from european nations.the law supported victims of political persecution.the law made an effort to establish a quota system.

Answers

First dude is correct is the correct option regarding the immigration act.

What is Immigration act?

The Immigration and Nationality Act of 1965 underwent a broad national overhaul. It boosted overall immigration so that for the fiscal years 1992–1994 and going beyond, 675,000 immigrants could enter the country annually.

It offered family-based immigration visas, established five unique employment-based visas that were divided up according to occupations, and instituted a diversity.

It is a visa program that established a lottery to admit immigrants from "low admittance" countries  or nations whose citizens were underrepresented in the United States.

Therefore, First dude is correct is the correct option regarding the immigration act.

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#SPJ5

Answer: C. The law supported victims of political persecution.

Explanation:

Other Questions
Please help me with this! Pls help Would you expect to have free run of a place, doing whatever you wanted, if all the rules andregulations were enforced? Explain. use the discriminate to determine how many solutions this equation has -8x^2-8x-2=0 Read the following sentence from the passage."Breaking into a smile, Ivy said, 'I'm sorry I misinterpreted what you wrote. I just assumed it was about me since it was on my desk.' "How does the prefix mis- change the meaning of the word interpret?A. It changes the meaning to able to interpret.B. It changes the meaning to without interpretation.C. It changes the meaning to interpret wrongly.D. It changes the meaning to same interpretation. Brenda walked a distance represented by the expression 5(2y + 4). It is 5 times thedistance John walked. Interpret the expression 2y + 4 and identify the correct choice. The use of connotation demonstrates how word choicecan convey a writer'sIn this passage, the word despot" has aconnotationIf Wollstonecraft had wanted to change the meaning ofthe passage, she could have chosen a word with adifferent connotation. Instead of "despot," she mighthave chosen the word "|| Why weren't canoes used in the arctic region? Air and water were too strong. Air and water were too cold. They were too heavy to lift. Only one person ever went fishing. Show how the length of the day changes with latitude by plotting the following points. Use the table below as a graph and place an X in the box where you want to plot a data point. For example, if you find that a day is 10 hours long at 30 N latitude, represent this data with an X in the box where 10 hours meets 30 degrees. How did Hitler suppress opposition? Find the distance between the two points in simplest radical form.(9,-1,) and (3,3) Calculate the perimeter of the following figure.11 inches4 inches3 inches 4 inches7 inches please help!! ill give brainliest Find the circumference of this circle. Use 3.14 to approximate T.C = 27r14 ftC = [ ? ] ft 1. What number is 35% of 80? Find a parametric equation of the line m through p and q How did mass destruction of specific populations impact societies after World War 2? 1. How is the sentence "As yet no animal had actually retired on pension" an example foreshadowing? ANIMAL FARM PLEASE HELP URGENTTTTT Describe the graph of f(x)=-3(x+1)^2 (x-3) (x-5)^3. Include as much information in your description as possible.(i will not click on links so dont even try-) Please I need step by step solution.Q/ sin135 Use half angle identity. What is meant by the term favorite son, and how did this term apply tothe election of 1824? (p. 365) Think about how poetry and stories are similar and different. Which form of writing do you think expresses meaning better to the reader? Why do you think one form of writing is better than the other? When would you use that form of writing? Use your knowledge of the characteristics and structures of poetry and stories to support your answer. I NEED HELP ASAP