Four members from a 12 ​-person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, and treasurer. The first person selected is the​ chairperson; the​ second, the​ vice-chairperson; the​ third, the​ secretary; and the​ fourth, the treasurer. How many different leadership structures are​ possible?

Answers

Answer 1

Answer:

11880 ways

Step-by-step explanation:

We can solve this problem in two ways. I'm going to show you how to do both.

We have 12 persons and are to choose a chairperson, a vice chairperson, secretary and a treasurer. So we are picking 4 members our of 12 persons.

From this 12, when we pick out one member, we are left with 11members. From 11, if we pick out another one, we have 10 left. From 10, if we pick out another member we have 9 left.

Such that

12 x11 x10x 9= 11880

These are the total different leadership structures possible.

Another way to solve this is by permutation method.

nPr

12!/(12-4)!

= 12!/8!

= 11880 ways


Related Questions

Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?

Answers

Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.

What would the set notation for the domain and range of the function, (-3, 6), (-2, -3), and (-1, 6)

Answers

Answer:

Domain: {-3, -2, -1}

Range: {-3, 6}

General Formulas and Concepts:

Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).

Step-by-step explanation:

Step 1: Define

(-3, 6)

(-2, -3)

(-1, 6)

Step 2: Identify x-values

x = -3, -2, -1

Step 3: Identify y-values

y = -3, 6, 6

if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb witha mean of 130 and 27.3

Answers

Answer:

The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

Step-by-step explanation:

Let X = weight of pilots.

It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.

Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:

[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]

Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

What is the nth term rule of the linear sequence below?
-9, -5, -1,3,7,...

Answers

Answer:

Step-by-step explanation:

Given sequence

-9, -5, -1,3,7,...

Is A.P(,airthmetic progression)

So

nth term of an A.P =a+(n-1)d

Where a=first term (-9)

D=difference=(-5)-(-9)=4

So nth term=-9+(n-1)4

=4n-13

Answer is 4n-13

Which equation has the solution x=3

Answers

Answer:

6-x=3  4-x=1 96 divided by x = 32

Step-by-step explanation:

Hope this helped! If it did, please mark me as brainilest and give a shot at my 100 points homework/puzzle. Here is the link: https://brainly.com/question/19021808 Thanks!

Cleo buys 2/4 pounds of turkey. Tyler buys 1/2 pounds of turkey. Who buys more turkey? Pls explain.

Answers

Answer:

No one because They bought the same amount. 2/4 is equvalent to 1/2, meaning they both are half a pound. :)

Step-by-step explanation:

If this helps pls mark me brainliest

Have a great day :)

Gina wants to make
hamburgers for 12 people.
Her recipe serves 8 people
and calls for 4.5 pounds of
ground beef. How much
ground beef should
Gia purchase?
h

Answers

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

[tex]4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x[/tex]

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

You move down 6 units and left 9 units. You end at (-5, -3). Where did you start?

Answers

(4, 3) i think lol goodluck

Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right triangle. The length of the hypotenuse is 12. a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B. Round your answers to four decimal places.

Answers

Answer:

27

Step-by-step explanation:

2 TIMES 3

The length of the side a and b is 2.0837 and 11.8176 respectively.

Length of side a and b to be determine, hypotenuse is 12 and a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B.

What is trigonometry?

Trigonometry is branch of mathematics that helps in elevation and angle problems.

Let assume that one angle of triangle is right angle.
So in right angles triangle,
hypotenuse = 12
cos10 =  length of b /12
length of b = 12 cos10
length of b = 11.8176

Now,
sin 10 =length of a/ 12
length of a = 12 sin10
length of a = 2.0837

Thus, the length of the side a and b is 2.0837 and 11.8176 respectively.

Learn more about trigonometry here:
https://brainly.com/question/26719838

#SPJ2

Please please help me get the anwser I just want the anwser I got a 33.3 on my last attempt and this is my last please :( I will literally give you 87 points I need help ASAP please I set it to 87 points please take Time and anwser correctly or I will report please :( I only have 11/6/2020

Answers

Answer: A

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Find the product
(3x+4y)(x+y)

Answers

Answer:

Step-by-step explanation:

(3x+4y)(x+y)

Solution=3x^2+4xy+3xy+4y^2

=3x^2+7xy+4y^2

3x^2 + 7xy + 4y^2 I believe

You move up 2 units and down 7 units. You end at (1, -2). Where did you start?

Answers

(5,-2)

that's all. up and down basically means that the point is moving along the x axis.

Please answer this question.... You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair. How many legs are on the ground?​

Answers

Answer:

36 legs

Step-by-step explanation:

Including the chair and yourself

6. You and the legs of the chair.

Daniel has 1615 Skittles stored in boxes. If there are 85 boxes, how many Skittles must go in each box?

Answers

Answer:

19

Step-by-step explanation:

While it's really easy to just divide, I'm sure your teacher wants an equation so:

1615=85x                                                      here x= skittle boxes

1615/85=x            In this line you can use divide to cancel out the multiplication, giving you

x=19

                 

What are steps I need to take to find a? Please include working out ❤️❤️

Answers

142-38=104
Это и есть ответ

Multiply 8674 x 678 is what

Answers

Answer:

5880972

hope it helps..

I don't know how to solve this.Please help!
3^x=2

Answers

So 3^X= 2 is an exponential equation. The inverse of an exponential in ln. so take ln of both sides to solve.

Another way is to change the exponential into a log equation
So that would be log with base 3 to the power of 2 equals x.

25 miles/hour =_meters/minute

Answers

670.56 meters. I hope it helps !
670.56 is correct!!!

helpp plssssss i need

Answers

the answer to your question is 3m^4

Answer:

3m^4

Step-by-step explanation:

x^y

x is the base and y is the exponent

Helppppppp
I need to find the area for this

Answers

Answer:

126

Step-by-step explanation:

70+56

What is the following product?
(5-12-4/5)(512-43
PLEASE HELP ):

Answers

Answer:

-3658.2

Step-by-step explanation:

Please help me and explain this.

Answers

You are supposed to answer where the function, h(x), is decreasing. In other words, where is “y” decreasing.

In this graph, I believe it would be from (-3,4)U(8,infinity). I hope this helps.

-4-5(2x -4) = 76
-6
9
-4
7

Answers

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

-4 -10x +20 = 76 . . . . . eliminate parentheses

-10x = 60 . . . . . . . . . . . subtract 16

x = -6 . . . . . . . . . . . . . . divide by -10

how many diagonals does a nanogon have​

Answers

Answer:

nanogon have 27 diagnals

A nonagon has 27 diagonals

One pound of beef costs $4.25. One pound of turkey cost $2.85. How much more does 1.25 pounds of the beef cost than 1.25 pounds of turkey?

Answers

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

5.31

Presently increase 1.25 by 2.85

3.56

Take away 3.56 from 5.31

1.75

Answer:

Beef= 5.75

Turkey=4.35

Beef cost is $1.40 more than turkey.

Step-by-step explanation:

true or false ------- y-intercept is where a point crosses the x-axis

Answers

Answer:

false

Step-by-step explanation:

that would be x-intercept

The y -intercept is the point where the graph crosses the y -axis. So, the statement is true. ANSWER:
True

A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 28
stores this year shows mean sales of 64 units of a small appliance, with a standard deviation of 13.8 units. During the same point in time last year, an SRS of 28 stores had mean sales of 48.958 units, with standard deviation 15.4 units. An increase from 48.958 to 64 is a rise of about 24%.


1. Construct a 99% confidence interval estimate of the difference μ1−μ2

μ1−μ2, where μ1 is the mean of this year's sales and μ2 is the mean of last year's sales.


(b) The margin of error is



2. At a 0.01 significance level, is there sufficient evidence to show that sales this year are different from last year?

Answers

Answer:

Confidence interval = (4.61972, 25.46428)

Margin of Error = 3.9078675

Step-by-step explanation:

Given that :

This year:

Mean (μ1) = 64

Standard deviation (s1) = 13.8

Sample size (n1) = 28

Last year:

Mean (μ2) = 48.958

Standard deviation (s2) = 15.4

Sample size (n2) = 28

99% confidence interval estimate of the difference μ1−μ2

α = 1 - 99% = 0.01

(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)

t0.01, 27 = 2.770683 (t value calculator)

√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675

(64 - 48.958) ± 2.667(3.9078675)

15.042 ± 10.42228

(15.042 - 10.42228), (15.042 + 10.42228)

(4.61972, 25.46428)

The margin of error :

√(s1²/n1) + (s2²/n2)

√(13.8^2/28) + (15.4^2/28)

√(6.8014285 + 8.47)

√15.2714285

= 3.9078675

Plz answer quick I need to get it bc it’s a quiz

Answers

Answer:

slope equals 2

Step-by-step explanation:

graph points and calculate rise over run

the answer is 2 the slope is 2.

Find the product. Enter your final answer as a simplified fraction.
-1/8•7•2/5=

Answers

Answer:

-7/20  

Step-by-step explanation:

Answer:

-1/140

Step-by-step explanation:

-1/8*7*2/5

-7/8*2/5

-7/20

What additional information could be used to prove that triangle XYZ is congruent to triangle Fe.g. using asa or aas check all that apply

Answers

i hope this was able to help!!

answer: Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS. we need only one angle and side.

Answer:

its the first one and the last one ..that's the answer.

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