Six girls of differing heights are arranged in 2 rows of 3 each. Each girl is taller than the girl in front of her and also taller than the girl to her right. How many arrangements of the six girls are possible?

Answers

Answer 1

Answer:

5 possible ways

Step-by-step explanation:

Questions like this are a bit technical. Therefore, there are no perfect formula, all you have to do is picture the scene and count. Having said that. Let us use name the positions the girls are standing according to the question:

D E F

A B C

I have arranged this according to how the question has specified, meaning F is the tallest and A is the shortest if I take F to be at the back right and A to be at the front left.

In reality, A and F can never change their positions if we maintain the arrangement specified.

What we have left is to look for how to rearrange, D, E, B and C that will still make it fit the arrangement. Take note that E cannot be in front of B because she is taller than B.

Since positions for shortest and tallest are fixed, you are left with 4 people and you need two of them for the front position. This can be gotten using 4C2 = 6, but the two tall persons can't be in the front else it will disrupt the arrangement, so we have to eliminate that case which will occur once, therefore we have 5 possible ways we can make the arrangements as required.


Related Questions

Identify the terms, coefficients, and constants of the expression. a^2 + 2 + 7b

Answers

Step-by-step explanation:

constant=7

coefficient=2

help please! Thanks!

Answers

answer: 2/3
1/3 * 2= 2/ 3

Answer:

2/3

Step-by-step explanation:

the equation is [tex]\frac{\frac{1}{y}}{\frac{1}{x}}[/tex], and when the values of x and y are substituted in, you get the fraction 1/3 over the fraction 1/2. when simplified, this is 2/3.

Write the equation of the line fully simplified slope-intercept form

Answers

Answer:

y=mx+b

Step-by-step explanation:

Answer:

y = (5/2)x - 5

Step-by-step explanation:

SLOPE:

The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2

Y-INTERCEPT:

Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.

Therefore, the equation y = (5/2)x - 5

if f(x)=4^x+4, then calculate f(0)

Answers

ok so F (0) should be equaled to = 0

Answer:

f(0) = 5

Step-by-step explanation:

Note that [tex]a^{0}[/tex] = 4

To calculate f(0), substitute x = 0 into f(x), that is

f(0) = [tex]4^{0}[/tex] + 4 = 1 + 4 = 5

How do I solve this and check all the solutions?

Answers

Answer:

it is -6

Step-by-step explanation:

PLEASE HELP!!!!
2. Toss 4 times Imagine tossing a fair coin 4 times . (a ) Give a probability model for this chance process . (b) Define event B as getting exactly three tails . Find P(B)

Answers

Answer:

If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.  

i didnt really understand the question but hope this helps

According to the information given, we have that:

a) A binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.b) P(B) = 0.25.

For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

Item a:

The coin is tossed 4 times, hence [tex]n = 4[/tex].It is a fair coin, hence equally as likely to be heads and tails, which means that [tex]p = 0.5[/tex].

Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.

Item b:

P(B) is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]

Hence, P(B) = 0.25.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Y=4x+2
A) Identify the slope (4,-2)
B)Identify the y-intercept:-2

Answers

Answer:

4 - slope

2 - y - intercept

Step-by-step explanation:

The equation is in slope-intercept form.

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The '4' is the slope of the equation.

[tex]y=\boxed{m}x+b\\\\y=\boxed{4}x+2[/tex]

The '2' is the y-intercept.

[tex]y=mx+\boxed{b}\\\\y=4x+\boxed{2}[/tex]

Hope this helps.

1.)24:56=X:46
A. 18
B. 28
C. 14
D. 24
2.)10:32=25:X
A. 70
B. 80
C. 60
D. 50
3.)18:6=X:11
A. 66
B. 55
C. 22
D. 33
4.)13:169=X:26
A. 10
B. 8
C. 4
D. 2
5.)18:81=22:X
A. 66
B. 55
C. 22
D. 33
6.)X:21=8:12
A. 16
B. 14
C. 21
D. 12
7.)7:X=6:36
A. 22
B. 42
C. 44
D. 20
8.)110:X=45:9
A. 22
B. 42
C. 44
D. 20
9.) 52:12=X:48
A. 208
B. 200
C. 100
D. 108
10.)6:12=17:X
A. 34
B. 33
C. 23
D. 24

Answers

Answer:

what's the question???/

Step-by-step explanation:

pls help me
(answer choices)
a: 134
b:46
c:136
d:43

Answers

Answer:

i wanna say its 136 but im not completely sure

C: 136

I hope this helps!!!

if the first and fifteen terms of A.P. are 8 and -48 respectively, obtain the progression​

Answers

Answer:

8, 4, 0, -4, - 8, .........

Step-by-step explanation:

The n the term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and a₁₅ = - 48, then

8 + 14d = - 48 ( subtract 8 from both sides )

14d = - 56 ( divide both sides by 14 )

d = - 4

To obtain the progression subtract 4 from each term, that is

8, 4, 0, - 4, - 8, ......

Answer:

8, 4, 0, -4, -8, -12, -16, -20,...

Step-by-step explanation:

Arithmetic Progressions

The general term of an arithmetic progression (A.P.) is:

[tex]a_n=a_1+(n-1).r[/tex]

Where:

a1  = First term

an = Term number n

n   = Number of the term

r   = Common difference

We are given: a1=8, and a15=-48, n=15. Calculate r:

[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]

[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]

[tex]\displaystyle r=\frac{-56}{14}[/tex]

r = -4

We can get the terms of the progression by subtracting 4 to the previous term.

Thus, the first terms of the progression are:

8, 4, 0, -4, -8, -12, -16, -20,...

Substitution method
3x+2y=15
y=6x

Answers

Plug in 6x for y (first equation)
3x + 2(6x) = 15
3x + 12x = 15
15x = 15
X = 1

Answer:

x = 1

Step-by-step explanation:

3x +2y = 15

y = 6x

Substitute y for 6x in 3x +2y = 15!

3x + 2(6x) = 15

3x + 12x = 15

Combine like terms

15x = 15

Divide both sides by 15

15x = 15

x = 1

Brainliest is much appreciated!

Which trigonometric identity is given by the formula adjacent side/opposite side?

A. tan
B. cot
C. sin
D. cos

Answers

Answer:

cot= adjacent side/opposite side

Option B is correct.

Step-by-step explanation:

We need to identify trigonometric identity which is given by the formula adjacent side/opposite side

The trigonometric identity for tan is

tan=  opposite side/adjacent side

But We are given adjacent side/opposite side

Since cot is inverse of tan so, formula of cot is:

cot= adjacent side/opposite side

Option B is correct.

A rectangular piece of metal is 9 in. longer than it is wide. Squares with sides 3 in. long are cut from the four​ corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 80 in. cubed​?

Answers

Step-by-step explanation:

Let the width be = w

The length will be = w+9

And height h = 3 inches ( side of square =3 in)

Volume = l x w x h

According to question

[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]

So, this equation indicates that the volume of the box is 80 in.

What's y'all favorite tic tok sound?

Answers

Answer:

Laxed (SIREN BEAT)" by Jawsh 685

Step-by-step explanation:

What is the equation in point slope form for the line parallel to y=8x+8 that contains P(-4,5)?​

Answers

Answer:

Equation: y-5=8(x+4)

Step-by-step explanation:

Point-slope form is y-y1=m(x-x1)

Since m=8, y1=5, and x1=-4, then we have y-5=8(x+4) as our final equation

y-5=8(x+4) is the answer

Jordan's dog with p.M. Pounds Emmett apostrophe s dog with 25% more than Jordan star which expression represents the weight in pounds of Emmett apostrophe s dog select all the apply a 0.25 P 1.25 p c p + 0.25 DP + 120.25

Answers

Answer: 1.25 p , where  p= Weight of Jordan's dog

Step-by-step explanation:

Let p = Weight of Jordan's dog .

Given: Emmett apostrophe's dog with 25% more than Jordan star.

Then, weight (in pounds)  of Emmett apostrophe s dog  = p +25%  of p

= p +0.25 p  [We divide a number by 100 to remove %]

= p(1+0.25)

= p(1.25)

=1.25 p

Hence, the expression represents the weight in pounds of Emmett apostrophe's dog=1.25 p

so its 1 am for me and I'm doing school work cause I over slept and fell 2 days behind is this anybody else

Answers

Answer:

me!

Step-by-step explanation:

ME ASFFFFD IM FAILING TWO CLASSES

1. Parallelogram WXYZ is shown on the coordinate plane ect...

Added photo plz help!!

Answers

Answer:

Step-by-step explanation:

12.718 units

Step-by-step explanation:

The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).

So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}

Now, length of WX =  units,  To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123

And, length of XY =  units, To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236

Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)

figure is made from a part of a square and a part of a circle.
$
This figure
10
a) What is the perimeter of this
figure, to the nearest unit?

Answers

Answer:

Step-by-step explanation:

Answer:38

Step-by-step explanation:

"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"

If J represents John's age, then which of the following equations could be used to solve the problem?

J + 15 = 3J - 1
J + 15 = 3(J - 1)

Answers

Answer:

J + 15 = 3(J - 1)

Step-by-step explanation:

I am 99% sure this is the right answer.

2 rectas se cortan formando 4 ángulos iguales ¿cuanto mide cada uno?

Answers

Answer:

Cada ángulo igual es recto, es decir, mide 90°

Step-by-step explanation:

Intersección de dos rectas

Cuando dos rectas no paralelas se intersectan, forman en el punto de corte 4 ángulos iguales de a pares, es decir, dos pares de ángulos congruentes.

La suma de todos los ángulos formados es invariablemente 360°.

En general, siendo a y b dos ángulos adyacentes formados por el cruce, se cumple que:

a + b = 180°

Y la suma de todos los ángulos es el doble de lo anterior:

2a + 2b = 360°

Si todos los ángulos son iguales, a=b, entonces:

4a = 360°

a = 90°

Cada ángulo igual es recto, es decir, mide 90°

the sum of two numbers is 16. their difference is 1. what is the product of the two numbers

Answers

Answer:

The product of the numbers is 63.75

Step-by-step explanation:

Let the numbers be x and y

x + y = 16

x -y = 1

Adding both together

2x = 17

x = 17/2

x = 8.5

Recall

x -y = 1

8.5 - y = 1

y = 8.5 - 1 = 7.5

Their product is xy

so we have 7.5 * 8.5 = 63.75

Please I will give brainylest if the answer is correct

Answers

Answer:

a^n +3

Step-by-step explanation:

simpify: a^na^3:\quad a^{n+3}

a^{n+3}

Write the missing number and name the
property
(733X5)×2= 733 x 5

Answers

Answer:

the missing number is 2

Step-by-step explanation:

Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)

Right side is 733*5.  Rewriting the expression this way makes it obvious that the missing number is 2.

This is pretty confusing please help!!!!!

Answers

True it’s true hope this helps

?!?!?!djsjsj?!?!?!?djsj

Answers

Hope this helps! As long as you keep posting I’ll keep answering- always happy to help!
Oof I could never learn that stuff

If I saved up $10 every 2 weeks, in a year I would have saved up $260. But, if I had saved up $20 per month, I would only have saved $240. Why do they have different totals?

Answers

They have different totals because the 10 dollars your putting in every 2 weeks. Now with the 20 dollars you doing it every month so they have different totals because ones getting put in every month and the other is getting put in every 2 weeks.

How would I Graph y = -3/2x - 3

Answers

Use the desmos it can help with graphing and all that it helps meeee alottt

Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left

Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points

Step-by-step explanation:

La embotelladora La Pingüica llena de refresco cierta
cantidad de botellas por día. Calcula el número de
botellas llenadas sabiendo que la veinticincoava
parte del cuádruple de ellas menos 5 000 que se
rechazaron equivale a 3 640 de los envases. en lengua algebraico ​

Answers

Answer:

No hablo espanol.

puedes escribir en ingles

Step-by-step explanation:

Question 10
Evaluate 122 – 3 [4 () – (18)].

Answers

Answer:

here is the answer -(12)/(-3)

Step-by-step explanation:

PLEASE MARK BRAINILIEST!

Other Questions
apply appropriate methods in solving rationalequations and inequalities. Every term isa constanta variablean expression Based on what you see here, what is the domain of this function?*Your answerThis is a required question What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0% I need help solving and checking the answer before my test tomorrow. im gonna fail so if you know anything please solve it and show how to check the answer 18. 4x +3=15+2x Can someone help me solve this number and also 19,20,21,22,23,24,25 2x+7=19 solving two-step equations Yoo how yall doinnnnn 3 Complete the conversations with question tagsand reply questions.1 A: John seems to be having problems with his newonline shopB: ______? I thought he's a real expert in IT.2 A: Do you know that Phoebe is going to be the mainphotographer at Christie's wedding?B: _______? That sounds great.3 A: My computer has broken down and I have to finishmy Chemistry project by tomorrow.B: Amy has got a new laptop,_______? Let's find out ifshe's willing to lend you hers.4 A: Don't forget to pay the electricity bill,__________?B: I won't. I've already put it in my handbag.5 A: I've inherited a house with an orchard but I don't havea clue how to go about it, especially the garden.B: Dan used to grow fruit and vegetables in his garden,________? So maybe ask him for help. I WILL GIVE BRAINLIEST!!PLEASE HELP!!Music from the 1980s tends to feature a lot of synthesizers and other electronic equipment. What does this suggest about the era?Other kinds of instruments were not available in the 1980s.This was new technology that artists incorporated into their music.These were common even before this era but not in Western cultures.Musicians in the 1980s were seeking to reproduce sounds from earlier eras. What number will be output by the console.log command on line 7? *2 pointsCaptionless Image Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.5+5+5+5+55+52+2+2 + 2 + 22+2 What is the symbolic meaning of Mrs. Van Daans fur coat? Will give 15 points if you answer this question TODAY!!!!! NEED HELP NOW!!!!! (Diary of Anne Frank) It represents her former social status and wealth. It represents how skilled her father was at hunting. It represents how much she cares about fashion. It represents warmth during the cold winter months. Which of the following was caused by the poor water and sewage systems in most U.S. cities during the late 1800s? Read the following excerpt from Little Women."Really, girls, you are both to be blamed," said Meg, beginning to lecture in her elder-sisterly fashion. "You are old enough to leave off boyish tricks, and to behave better, Josephine. It didn't matter so much when you were a little girl, but now you are so tall, and turn up your hair, you should remember that you are a young lady.""I'm not! And if turning up my hair makes me one, I'll wear it in two tails till I'm twenty," cried Jo, pulling off her net, and shaking down a chestnut mane. "I hate to think I've got to grow up, and be Miss March, and wear long gowns, and look as prim as a China Aster! It's bad enough to be a girl, anyway, when I like boy's games and work and manners! I can't get over my disappointment in not being a boy. And it's worse than ever now, for I'm dying to go and fight with Papa. And I can only stay home and knit, like a poky old woman!"Tabitha is taking part in a group discussion about Little Women. In her discussion group, one participant states, I think it must have been very difficult to be a female during this time period.How could Tabitha best respond to show that she is being an active listener?Im sorry, I didnt hear what you said. Could you repeat it, please?I do not understand that comment at all or why it was even made.I agree and think that women often had to fight to be themselves.I think Jo sounds a lot like my little sister when she complains. how can you be a good and usefully member of your society 4.5 code practice edhesive How did Aokas conversion to Buddhism change the way he governed the Mauryan Empire?The legal system became less harsh.Relationships with other kingdoms suffered.He stopped communicating with his subjects.He required his subjects to convert to Buddhism. What did women do during the 1920 Relate pH values of 9.1, 1.2, and 5.7 to hydronium and hydroxyl ion concentration.