8) A committee has fifteen members. There are two members that currently serve as the board’s chairman and vice chairman. Each member is equally likely to serve in any of the positions. Two members are randomly selected and assigned to be the new chairman and vice chairman. What is the probability of randomly selecting the two members who currently hold the positions of chairman and vice chairman and assigning them to their current positions

Answers

Answer 1

Answer:

The probability is    [tex]P(Z) = 0.0064 [/tex]

Step-by-step explanation:

From the question we are told that

  The number of members is  n = 15

Generally the number of ways of selecting two member from the fifteen members is mathematically represented as

       [tex]K  =  ^{n}C_2 *  2![/tex]

Here C stands for combination hence we will be making use of the combination functionality in our calculator

      [tex]K  =  ^{15}C_2 *  2 * 1 [/tex]

=>  [tex]K  =  78  *  2 * 1 [/tex]

=>  [tex]K  =  156  [/tex]

Gnerally the number of outcome that matches the outcome required by the committee(Which is  reselecting the member who where the chairman and vice chairman of the board ) is   m =  1

Generally the probability of randomly selecting the two members who currently hold the positions of chairman and vice chairman and assigning them to their current positions is mathematically represented as

      [tex]P(Z) =  \frac{m}{K}[/tex]

=>    [tex]P(Z) =  \frac{1}{156}[/tex]

=>    [tex]P(Z) =  \frac{1}{156}[/tex]      

 =>    [tex]P(Z) = 0.0064 [/tex]      


Related Questions

Select the correct answer.

A recent survey reported that 9.7% of Virginia's population worked in the construction industry. Which is equivalent to 9.7%?



Question 8 options:

970


97


0.97


0.097

Answers

Answer:

0.097

Step-by-step explanation:

Need for a test !!!!!!!!!!
You have 37.72 g of a material. What volume would this sample occupy if the material has the density listed below? *
5.55 g/cm^3

Answers

Answer:

6.79cm^3

Step-by-step explanation:

Given data

mass m=37.72g

density=5.55 g/cm^3

volume v=?

We know that density is

density = mass/volume

Substituting into the expression we have

5.55 g/cm^3=37.72/v

cross multiply we have

5.55v=37.72

v=37.72/5.55

v=6.79cm^3

582 x 23 ≈ __________ x __________ = 12,000
can someone please help me with this math problem

Answers

Answer:

600 x 20 = 12000

Step-by-step explanation:

582 rounds to 600, and 23 rounds to 20.

The equation said the answer was equal to 12,000 and 600 multiplied by 20 equals 12,000.

10 points if you answer

Answers

Answer:

tbh i think it b or c

Step-by-step explanation:

i domnt really know about slope that well but i think it is c

Answer:

i think it is a

Step-by-step explanation:

To determine the number of trout in a​ lake, a conservationist catches 174 ​trout, tags them and throws them back into the lake.​ Later, 22 trout are​ caught; 11 of them are tagged. How many trout would the conservationist expect to be in the​ lake?

Answers

Answer:

348 trouts in the lake

Step-by-step explanation:

Since this is basically a ratio problem and we are given three values we can use the rule of three to solve for the missing variable which would be the total amount of trouts in the lake. To do so we multiply the total amount trouts tagged by the number of trouts caught later. Then we multiply that product by the amount that were found to be tagged later.

22 total trouts caught later  <=========>  11 trouts were tagged

x total trouts  <=========> 174 trouts tagged

(174 * 22) / 11 = 348 total trouts in the lake

Finally, we can see that the conservationist would expect there to be around 348 trouts in the lake.

What’s this formula used to calculate?

Answers

Answer : definitely sampling error

An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100 and a standard deviation of 15, what is the minimum IQ required for admission into the organization?
• Use Excel, and round your answer to the nearest integer.
Provide your answer below:________.

Answers

Answer:

The minimum IQ score will be "126".

Step-by-step explanation:

The given values are:

Mean

[tex]\mu = 100[/tex]

Standard deviation

[tex]\sigma=15[/tex]

Now,

⇒ [tex]P(z>x)=4 \ percent \ i.e., 0.04[/tex]

⇒ [tex]P(z>\frac{x- \mu}{\sigma} )=0.04[/tex]

⇒ [tex]1-P(z \leq \frac{x-100}{15})=0.04[/tex]

⇒ [tex]\frac{x-100}{15}=z0.96[/tex]

            [tex]=NORMDIS(z=0.96)[/tex]

            [tex]=1.751[/tex]

⇒ [tex]x=100+15\times 1.751[/tex]

      [tex]=126.265 \ i.e., 126[/tex]

Which expression is equivalent to
(2x4y)3

2x7y4
2x12y3
8x7y4
8x12y3

Answers

The correct answer would be 8x12y3

Answer:

D

Step-by-step explanation:

Already did it.

THIS IS DUE TODAY! PLEASE ANSWER!: Find the value of 'X' in the triangle below

Answers

Answer:

Step-by-step explanation:

First find the angle in the lower left.

180 - 100 = 80

3x + 2x + 80 = 360

solve for x

5x = 280

5x/5 = 280/ 5

x = 56

Plug this in to make sure the equation is true

3(56) + 2(56) + 80 = 360

168 + 112 + 80 = 360

360 =360

Therefore x = 56

question 8 i mark as brainliest ​

Answers

Answer:

195 tickets

Step-by-step explanation:

If the dance teacher spent the whole budget, then that means you can just divide the budget by the cost of tickets:

5,460 / 28, which is 195 tickets.

4Flaming Hoop Jump of Awesome Daredevil Danny attempts the feat of jumping his motorcycle through the Flaming Hoop Jump of Awesome. In order for Daredevil Danny to pass through the hoop, he will need a safe path to travel. Let’s explore the parabolic trajectory that he will need for a safe journey. Directions Complete each of the following tasks, reading the directions carefully as you go. Be sure to show all work where indicated, including inserting images of graphs. Be sure that all graphs or screenshots include appropriate information such as titles, labeled axes, etc. If your word processing program has an equation editor, you can insert your equations here. Otherwise, print this activity sheet and write your answers by hand. In addition to the answers you determine, you will be graded based on the work you show, or your solution process. So, be sure to show all your work and answer each question as you complete the task. Type all your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations. Your teacher will give you further directions about how to submit your work. You may be asked to upload the document, e-mail it to your teacher, or print it and hand in a hard copy. Now, let’s get started! Step 1: Analyze the graph. Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump. a) What are the key aspects of any parabola? What do the key aspects tell you about the graph? (5 points) b) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points) Step 2: Solve for coefficient a. a) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points) b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points) c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points) Step 3: Change from vertex form to standard form. To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form. a) What is the equation for a parabola in standard form? (5 points) b) Describe how to convert from vertex form to standard form. (10 points c) Convert the vertex form of the equation you wrote above to standard form. (10 points) d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points) Step 4: Calculate the equation for the flaming hoop jump. Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome! a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points) b) Determine the values of a, b, and c. Show your work. (10 points) c) Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points) d) Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)

Answers

Answer:

Flaming Hoop Jump of Awesome

Roslyn Bertley

Q : A) What are the key aspects of any parabola? What do the key aspects tell you about the graph?

A : It goes up to its max point and comes down. The max point is 32 and how far it went was from 15 to 35

Q : A) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined.

A : Its a standard form graph , and Danny needs to figure out the speed he is ganna go and the its angle

Step 2: Solve for coefficient a.

Q : A) What equation is used to find the vertex form of a parabola with the vertex (h, k)?

A : F(x)=ax2+bx+c

Q : b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail.

A : The picture lets us know that the equation of a vertical parabola in vertex form is given by wher A is the leading coefficient. (h,k) is the vertex. looking at the graph we have a vertical paraboola opening downward . The vertex is a maximum The vertex is the point (25.32) substitute in the equation

Q : c) What is the vertex form of the parabola from Daredevil Danny’s practice jump?

f(x)=-12/25(x-25)^2+32

Step 3: Change from vertex form to standard form.

Q : a) What is the equation for a parabola in standard form?

A : y = ax^2 + bx + ct

b) Convert the vertex form of the equation you wrote above to standard form.

f(x)= -0.48xˆ2+24x-268

c) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump?

Step-by-step explanation:

that’s all i got

HELP ASAP GIVING BRAINLIEST AND 11 POINTS PLS HELP!!!!!! THANK U SM HOWEVER HELPS IT MEANS A LOT AND ITS DUE IN 20 MINS PLS HURRY AND TYSM AGAIN

Answers

Answer:

Slope= 2 / 10 = 1 / 5 = 0.2

y-intercept= (0, -4/5) or (0, -0.8)

Step-by-step explanation:

Simplify 2k^8×3k^3

Answers

Answer:

[tex]6k^{11}[/tex]  

I hope this helps!

Answer:

6 k^ 11

Step-by-step explanation:

2k^8×3k^3

2*3  * k^8 * k^3

6 * k^8 * k^3

When multiplying exponents with the same base, we can add the exponents

6 k^( 8+3)

6 k^ 11

The temperature rose by 3°C. Suppose it fell from -2°C to -10°C. Predict whether the change in temperature would be positive or negative.

Answers

Answer:

Probably negative.

Step-by-step explanation:

It fell 8 degrees celsius. That's a lot!

In a school auditorium there are 33 seats in each row of seats how many rows are needed for 528. Students to each have a seat

Answers

Answer:

16

Step-by-step explanation:

just divide 528 by 33

16 rows.
528/33=16
therefore u need 16 rows

Un paracaidista que pesa 70 N es lanzado de un avión. halla su masa​

Answers

Answer:

La masa del paracaidista es 7.14 Kg

Step-by-step explanation:

Peso y Masa

La masa de un objeto es una medida de la cantidad de material que el objeto posee. Sus unidades más comunes son el Kg, gr, lb, Ton.

El peso de un objeto de masa m es la fuerza con la cual la Tierra atrae al objeto a través de la aceleración de gravedad g. Sus unidades son iguales a las de cualquier fuerza, es decir, Nw, Kgf, Dina. Su fórmula es:

P=m.g

Si tenemos el peso P=70 N, podemos calcular la masa, despejándola de la fórmula:

[tex]\displaystyle m=\frac{P}{g}[/tex]

Sustituyendo los valores:

[tex]\displaystyle m=\frac{70}{9.8}=7.14\ Kg[/tex]

La masa del paracaidista es 7.14 Kg

can someone please help me

Answers

I’d say the answer is B.

So, the way I’m gonna do this is to subtract 7 from 9 and then, add 3 and 4.

So, now you have (2 x 7)^2

And then, (14)^2

Answer:

Multiply 7 by 3.

Step-by-step explanation:

In PEMDAS, parenthesis, exponents, multiply, divide, addition, subtratcion, you start with parenthesis first. Then you look inside the parenthesis, and ythere is no division problems. So you do the multiplication inside the parenthesis.

Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip

Answers

Answer:

516

Step-by-step explanation:

add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total

Y=2.25 +1.75(x-1) rate of change

Answers

Answer:

I think its -2/7

Step-by-step explanation:

if I'm wrong I'm sorry

Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30

Answers

Answer:

y-int = -10, x-int = 15/2

Step-by-step explanation:

y int:

-4(0)+3y=-30

3y=-30

y=-10

x int:

-4x+3(0)=-30

-4x=-30

x=30/4=15/2

(1) Kareem pumped 28 gallons of water in her pool.This was done over a period of 4 minutes at a constant rate. What was the change in the amount of water in the pool each minute?

Answers

Answer:

7 Gallons of water get pumped into the pool every minute.

Step-by-step explanation:

28 Divided by 4= 7 so it is 7 gallons per min.

20 penguins on a ice berg 9 jump in the water 8 move to a island how many are left on the ice berg​

Answers

Answer:

3

Step-by-step explanation:

20-9=11

11-8=3

3 is the final answer

Hello tell me a result of a mathematical problem porfa is if pedro is 109 and Angela has 5,000 how much do they have in total?

Answers

Answer:

5,109

Step-by-step explanation:

:) please give brainliest

jessica edits the school year book she says that the dimensions of the student photo are proportional to the dimensions of the small photo medium photos large photos found throughout the year book. is she correct explain your reasoning.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The ratio of width to height for the different photos are ...

  student: 1 : 3/2 = (2/2):(3/2) = 2 : 3

  small: 2 : 5/2 = (4/2):(5/2) = 4 : 5

  medium: 4 : 5 . . . (same as small)

  large: 8 : 10 = 4 : 5 . . . (same as small and medium)

The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.

Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?

A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell

Answers

Answer:

B. Plant cell

Step-by-step explanation:

Prokaryotic cells do not contain an enclosed nucleus or chloroplast

Red blood cells do not contain chloroplast

Animal cells do not contain chloroplast

Susan read 40 pages of a novel in 80 minutes. How long will it take her to read 210 pages of the novel?​

Answers

Answer: It will take Susan 420 minutes to read 210 pages of her novel.

Solve for x. 3(2x - 3) + 3 = 24

Answers

Hey :)

x= 5

First use distributive property to multiply 3 with 2x and 3 with -3
6x-9 + 3 = 24

Find like terms, which are -9 and 3
6x-6 = 24

Take the -6 to the other side, now it’s positive
6x = 24+6

Now add them together
6x= 30

Now take 6 to the other side, it becomes division
x = 30/6
x = 5

Hope this helps!

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{x = 5}}}}[/tex]

Step-by-step explanation:

[tex] \text{3(2x - 3) + 3 = 24}[/tex]

[tex] \text{Step \: 1 \: : \: Distribute \: 3 \: through \: the \: parentheses\: }[/tex]

[tex] \text{ ➳\: 3 * \: 2x - 3 * 3 + 3 = 24}[/tex]

[tex] \text{➳ \: 6x - 9 + 3 = 24}[/tex]

[tex] \text{Step \: 2 : \: Subtract \: 3 \: from \: 9}[/tex]

[tex] \text{➳ \: 6x - 6 = 24}[/tex]

[tex] \text{Step \: 3 : Add \:6 \: on \: both \: sides}[/tex]

[tex] \text{➳ \: 6x - 6 + 6 = 24 + 6}[/tex]

[tex] \text{➳ \: 6x = \: 30}[/tex]

[tex] \text{Step \: 4 : Divide \: both \: sides \: by \: 6}[/tex]

[tex] \text{➳ 6x / \: 6 \: = \: 30/ \: 6}[/tex]

[tex] \text{➳ \: x = 5}[/tex]

[tex] \text{The \: value \: of \: x \: is \: 5}[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

STUCK AGAIN PLEASE HELP !

-18,762=-3z-540

Answers

Answer:

z = 6074

Step-by-step explanation:

-18762 = -3z - 540

-3z = -18762 + 540

-3z = -18,222

z = 6074

Answer:

Your answer is: ↓

Step-by-step explanation:

Hope this helped : )

Write the number in
standard form
6 tens+7=

Answers

6 x 10 + 7 = 67.

When the refer to tens, they’re meaning (said number) x 10.

Answer:

67

Step-by-step explanation:

3. Find the slope of the line described by the equation.
5x = 90 – 9y

Answers

Answer

x= -9y/5 +18

y= -5x/9 +10

Step-by-step explanation:

Step-by-step explanation:

5x=90-9y

9y=-5x+90

y= (-5/9)x+10

Slope= -5/9

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