An ancient human tribe had a hierarchical system where there existed one chief with $2$ supporting chiefs (supporting chief A and supporting chief B), each of whom had $2$ equal, inferior officers. If the tribe at one point had $10$ members, what is the number of different ways to choose the leadership of the tribe? That is, in how many ways can we choose a chief, $2$ supporting chiefs, and two inferior officers reporting to each supporting chief?

Answers

Answer 1

The number of different ways is 7560 ways

How to determine the number of different ways

From the question, we have the following parameters that can be used in our computation:

Chiefs = 1

Supporting chiefs = 2

Members = 10

Inferior officers = 2

There are 10 members.

So, the number of ways to select a chief is 10

Now, there are 9 members left

The number of ways to select a supporting chief is then represented as

Supporting chief = ⁹C₂

Now, there are 7 members left

The number of ways to select an inferior officer is then represented as

Inferior officers = ⁷C₂

So, the total number of ways is

Ways = 10 * ⁹C₂ * ⁷C₂

Evaluate

Ways = 7560

Hence, the number of ways is 7560

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Related Questions

Ben's mom is 22 years older than ben. In 5 years she will be 3 times as old as he will be. How old are they now?

Answers

In linear equation, Ben is 9 years old currently.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

Ben's mom = 22 years

Ben is 9 years old currently.

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What is the inverse of 12?

Answers

The inverse of 12  as calculated by the given data is found to be 1/12.

The inverse can be found by finding its reciprocal the number ,

inverse of 1 = 1 / 12

There are two types of inverse , additive inverse and multiplicative inverse .

The additive inverse can be found by finding the negative of  the number.  The multiplicative inverse, often known as the reciprocal, is another inverse of a number.

The multiplicative inverse, often known as the reciprocal, is another inverse of a number. The product of a reciprocal multiplied by the original number is always 1.

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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

From the equation, the value of x is 13

What is a Square Number?

When an integer is multiplied by the same integer, the resultant number is known as a square number. Simply put, a square number is a number that is obtained by the product of two same numbers but in this case, it is an equation, so the equation in the bracket multiplies itself.

Properties of Square NumbersSquare numbers always end with the digits 0, 1, 4, 5, 6, and 9. The number of zeros at the end of a square number is always even. This means if a number has an odd number of zeros at the end, then the number is not a square number. The square of even numbers is always even, and the square of odd numbers is always odd

(x – 7)² = 36

Raising both sides by 1/2

x-7 = √36

x - 7 = 6

x = 6+7

x = 13

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Jeanette took two tests. Find her z-score for each test. (Remember: The number of standard deviations between a score and the mean score is indicated by a z-score.) On which did she score better compared with others in her class

Answers

The z-score is compared as Test A : 3.25; Test B : 3.5; Test B.

What is the z-score to be compared?The Z-score is a statistical measure that describes the relationship of a value to the mean of a group of values. The Z-score is expressed in standard deviations from the mean. A Z-score of 0 indicates that the data point's score is the same as the mean score.

Here given that,

Test A

Jeanette's score 90

Mean score 64

Standard deviation 8

Test B

Jeanette's score 95

Mean score 60

Standard deviation 10

The formula =

z = x - µ / σ

By substituting,

test A : z = (90 - 64) / 8 = 26 / 8 = 3.25

test B : z = (95 - 60) / 10 = 35/10 = 3.5

So Test A : 3.25; Test B : 3.5; Test B

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Z-score in test A = 3.25, Z-score in test B = 3.5. She performed better in test B.

What is Z-score?

Z-score represent the difference between a given value and standard deviation.

What is the Z-score of the above question?

given, Jeanette scored 90 in the Test A

 mean score of test A = 64

standard deviation = 8

we know, the Z-score is calculated by the following formula.

Z-score = (X - μ) /σ

where, σ denotes the standard deviation.

          μ denotes the mean value

    X is the actual value

Test A has Z- score = (actual score - mean score) / standard deviation

                             = (90 -64)/8

                           Z = 3.25

In the test B, she scored 95.

actual score = X = 95

mean score in test B = 60

standard deviation in test B = 10

hence, Z-score for test B = (X - μ)/ σ

                                        = (95 -60)/ 10

       Z-score = 3.5

Therefore, Jeanette scored better in her test B.

                                               

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Annie has two boxes of markers. The first box is 7/10 full and the second box is 6/10 full. How many total markers does Annie have?

Answers

Answer: 1 3/10

Step-by-step explanation:

Since we are informed that Annie has two boxes of markers and that the first box is 7/10 full while the second box is 6/10 full.

Therefore, the total markers that Annie has will be the addition of both boxes and this will be:

= 7/10 + 6/10

= 13/10

= 1 3/10

How do you create a function in forex?

Answers

A trader can create their own automated trading strategies in forex by writing a script or program in a programming language, such as MQL4 or Python. This script will contain instructions to execute trades according to specific criteria defined by the trader. They can then backtest the strategy to see how it performs.

1. Decide on a trading strategy. This could include things like setting entry and exit points, calculating position sizes, and setting stop losses and take profits.

2. Choose a programming language that is compatible with the trading platform you are using, such as MQL4 or Python.

3. Write the script or program that will contain the instructions for the trading platform to follow in order to execute the trading strategy.

4. Test the script or program to make sure it works properly.

5. Run a backtest to see how the trading strategy performs.

6. If the results of the backtest are satisfactory, you can deploy the trading strategy on the trading platform.

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In the figure where 3x20 and 4x-36, which value of x will make aob, a traight line

Answers

The value of x that will make aob a straight line equation is x = -6.

To make aob a straight line, we need to make the gradients of both lines equal.

The gradient of the first line is 3x20 = 60.

The gradient of the second line is 4x-36 = 4x-36.

To make the gradients equal, we need to solve the equation 4x - 36 = 60.

Subtracting 36 from both sides gives us: 4x = 96.

Dividing both sides by 4 gives us x = -6.

Therefore, the value of x that will make aob a straight line is x = -6

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Can you please help me with this question? :)​

Answers

Answer:

First rational exponent means that ;Rational exponents (also called fractional exponents) are expressions with exponents that are rational numbers (as opposed to integers ). While all the standard rules of exponents apply,

Step-by-step explanation:

We take here the root of 4 which means that it gives us the exactly same the answer is 2 which we again square on two it exactly gives us the answer 4 so the bas eis given as, = √4

= ±2

as squaring on it; = 2²

= 4

→ the base in 2² where 2 is the base and 2 of the power is called index.

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What’s the formula to find principal please tell me please

Answers

Answer:

Step-by-step explanation:

(100xInterest)(RatexTime)

hope this helps

Step-by-step explanation:

The formula for calculating Principal amount would be P = 100I / (RT) where Interest is Interest Amount, R is Rate of Interest and T is Time Period.

Jerry works twice as fast as Kenny. If jerry works for 2 hours and is then joined by Kenny and they work an additional 3 hours how fast could they each do the job alone?

Answers

Answer: 1 hour

Step-by-step explanation:

Please read photo! Thanks for anyone that helps.

Answers

Answer:

1= 66

2= 66

3 = 114

Step-by-step explanation:

47.3 , 48.1 ,47.4 ,47.16 , 47.07 least to greatest,please help(,:

Answers

Answer:

47.07, 47.16, 47.3, 47.4, 48.1

Step-by-step explanation:

lol

Calculate the size of angle ABC

Answers

Therefore , the solution of the given problem of trigonometry comes out to be  B = arcsin(9/14) - 180° = 140.0°.

Describe trigonometry.

Correlations between triangles' angles and sides are studied in the branch of mathematics known as trigonometry. Since every straight-sided form may be reduced to a collection of triangles, trigonometry can be found throughout geometry. The relationships between trigonometry and other branches of mathematics, in particular calculus, real or complex, infinite series, logarithms, and infinite series, are astonishingly complicated.

Here,

There are two potential solutions because the supplied angle is opposite the given side that is the shortest.

Using the sine law,

B = b/asin(A)arcsin(9/7sin(30°))arcsin(9/14)

Angle B may take on the following values:

B is equal to arcsin(9/14) = 40.0°.

B = arcsin(9/14) - 180° = 140.0°

Therefore , the solution of the given problem of trigonometry comes out to be  B = arcsin(9/14) - 180° = 140.0°.

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Please help with us math work

Answers

Following are the mathematical operations for the numerics.

Mathematical operations -

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.

In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. Image: The basic mathematical operation symbols. A set of numbers and operations make up a mathematical expression.

24 × 3/4 = 1824 ÷ -3/4 = -3212 - 15 = -312 - 15 = 27-18 ÷ -3/4 = 24

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Given f(x) = 3x - 5.
What is fl-4)?

Answers

Answer:

f(4)=7

Step-by-step explanation:

f(x)=3x-5

f(4)=3(4)-5

f(4)=12-5

f(4)=7

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f (4)=7 have a nice day !

Ms. Sack earns $125 teaching five workout classes at Orange Theory. If she gets a 10% raise, how much will Ms. Sack earn per class after the raise?

Answers

125•0.10 = 12.5 125+12.5= 137.5 this basically means that you take 10 percent of what’s shes earning which would be $12.50, and add that on to her original salary ($125) so the answer is $137.5

please help will mark brainliest

Answers

Answerhold on I got you

Step-by-step explanation:

Find the equation of the line that passes through (1,3) and is perpendicular to y=2x−1. Leave your answer in the form y=mx+c

Answers

Answer:

y = -1/2x + 3.5

Step-by-step explanation:

In order to pass through the point (1, 3), and is perpendicular to y = 2x - 1, then the line must be y = -1/2x + 3.5. Hope this helps!

Please help asap..............

Answers

Answer:

what's the context of this?

What can you use to find how many centimeters in 0.24 meter

Convert 0.24 meter to centimeters

Answers

Answer:

24

Step-by-step explanation:

From meter to cm multiply by 100

An equation is shown. What values of x makes the equation true?
5x + 3x = 5x + 15/2

Answers

Step-by-step explanation:

1) Add 5x and 3x.

Now you have 8x = 5x + 15/2

2) Subtract 5x from the right side of the equation.

(You also do this to the left side)

Now you have 3x = 15/2

3) Now we want the value of x not 2 or 3x, so we will need to divide 3x by 3 to get the value of x.

3x/3 = 15/2 /2 (If the fraction divided by 3 looks confusing you can convert it into a decimal)

So you would have 3x/3 = 7.5/2

3x/3 = x

7.5/3 = 2.5

x = 2.5

Hope this helps !

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fraction bigger than 2 out of 5 and smaller than 2 out of 3. When i divided numerator by denominator , it will be 0.533.

Answers

The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Let the fraction be a/b.

2/5 < a/b < 2/3

Now,

a/b

= (2/3 + 2/5) / 2

= (10 + 6) / 30

= 16/30

= 8/15

= 0.533

Thus,

The fraction is 8/15.

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What is the slope of the line that goes through (-7, -13) and (1,-5).

Answers

Answer:

1

Step-by-step explanation:

The slope would be 1. Using the equation y^2 - y^1 / x^2 -x^1, you would substitute the plots into the equation. -5 + 13 / 1 + 7 = 8/8 or 1. The 13 and 7 would be added because subtracting a negative is the same as adding a positive.

Jose took a trip to South Lake Tahoe that took 65 minutes. Jose forgot to check the time as he
left, but when he got to South Lake Tahoe, his phone read 8:12 AM. What time did Jose start his
trip?

Answers

Answer:

7:07

Step-by-step explanation:

he started at 7:07 because if you take away 5 minutes from 8:12 you get 8:07 and we all know 60 minutes is an hour so 8:07 minus an hour is 7:07 hope this helps

[tex]\sqrt{18}+\sqrt{50}[/tex]

Answers

[tex]3\sqrt{2} +5\sqrt2}\\=8\sqrt{2}[/tex]

Answer:

8√2

Step-by-step explanation:

Both 18 and 50 are easily factorable, the first as 2*9 and the second as 2*25.  Taking the square root of 18 results in 3√2 and that of 50 in 5√2/

Thus, the original problem √18 + √50 simplifies to (3 + 5)√2, or 8√2

Find the median of the data.

5, 8, 4, 6, 8

Answers

Answer:

Step-by-step explanation:

4

the solution of x-a >4 is x > 11 what is the value of a?

Answers

Answer:

13

Step-by-step explanation:

Add the solution together to combine an answer. 4 times 11 = 44 - 10 = 30 + > 11 = 13

In 2003 how many African American students attended a school with over 90% of its population being a minority?

Answers

According to ProPublica, from 1993 to 2011, there were almost 2.9 million black pupils enrolled in schools where at least 90% of the student body is made up of minorities.

Explain about the minority?

The absence of a majority on the territory of a State is indicated by a minority. That essentially indicates that less than 50% of a nation's population belongs to one or more ethnic, religious, or linguistic groups.

According to Section 2(c) of the National Commission for Minorities Act of 1992, the following groups have been designated as minority communities: Muslims, Sikhs, Christians, Buddhists, Jain, and Zorastrians. According to the Census of 2011, minorities make up around 19.3% of the overall population of the nation.

The term "minority" in the 1990s typically refers to four significant racial and ethnic groups: African Americans, American Indians and Alaska Natives, Asians and Pacific Islanders, and Hispanics.

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please give a step by step explanation for this question

Answers

Answer:

[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]

Step-by-step explanation:

The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].

[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]

We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].

Now add these equations together to get our equation.

[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]

Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].

=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]

What is the difference between an undecidable problem and an intractable problem?

Answers

Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.

What does a tractable problem actually mean?

a technique that completes a manageable task in a polynomial period of time. Utilizing the polynomial upper bound is advantageous. A problem is said to be intractable if it cannot be solved in a polynomial amount of time. The bound has a minimum that is exponential.

Here,

Intractable problems would be those in which there is significant proof that, while they can be solved by a desktop, they cannot be solved quickly enough to be actually useful in practice.

Undecidable troubles are those for which there will never be a computer solution, whereas undecidable difficulties are those for which there will never be a computer solution.

Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.

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