1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Reika [66]
3 years ago
5

Delegates from 10 countries, including Russia,

Mathematics
2 answers:
natka813 [3]3 years ago
6 0

Answer:

564,480

Step-by-step explanation:

The appliocation of factorial n! = n(n-1)(n-2)(n-3).....

Arrangement when french and English delegates are to seat together ;

since we have 10 delegates, Freench and english will be treated as 1 delegates as such we have 9groups. The number of ways of arranging 9groups = 9! and if the french and English are to be treated as a group = 2!

Hence, number of ways of arrangement = 9! x 2! = 725,760

In this case, English and french are to be seated next to each other while russia and US delegates are not to seat nect to each other ; both groups will be treated as 2 as such we have 8groups, the number of ways of arranging 8groups = 8!

french and english together = 2!

Russia and US together = 2!

The number of ways of arrangement = 8! x 2! x 2! = 161,280

hence the number of ways of arranging 10 delegates if french and english are to be seated next to each other and Russia and US are not to be seated next to each other;

N = 725,760 - 161,280 = 564,480

ankoles [38]3 years ago
4 0

Answer: 564480 arrangements

Step-by-step explanation:

First, let's consider the French and English delegates as one party because they will sit next to each other.

So total delegates if French and English are always together comes out to be 9 instead of 10.

Now, they are to sit in a row and can have different seats so the total number of ways they can sit is= 2 x 9!= 725760 ways.

Now, when Russian and U.S delegates are not to sit next to each other so consider similarly like before consider them as one unit like French and English. Now they can also change their seats so number of way for them= 2 x 2 x 8!= 161280 ways

To find out when French and English delegates are together and Russain and U.S delegates are not together we subtract the way from the original value.

725760-161280= 564480 way.

You might be interested in
Graph the function y = x2 - 2. Which key features describe the function? Check all that apply.
Tpy6a [65]

Answer:

a and d

Step-by-step explanation:

did it on edgenuity

4 0
3 years ago
Read 2 more answers
You work for a consumer advocate agency and want to find the mean repair cost of a washing machine. As part of your study, you r
Alenkasestr [34]

Answer:

90% confidence interval for the population mean is between a lower limit of $92.18 and an upper limit of $107.82.

Step-by-step explanation:

Confidence interval for a population mean is given as mean +/- margin of error (E)

mean = $100

sd = $25.20

n = 30

degree of freedom = n-1 = 30-1 = 29

confidence level (C) = 90% = 0.9

significance level = 1 - C = 1 - 0.9 = 0.1 = 10%

critical value (t) corresponding to 29 degrees of freedom and 10% significance level is 1.699

E = t×sd/√n = 1.699×25.20/√30 = $7.82

Lower limit of population mean = mean - E = 100 - 7.82 = $92.18

Upper limit of population mean = mean + E = 100 + 7.82 = $107.82

90% confidence interval is ($92.18, $107.82)

6 0
3 years ago
Read 2 more answers
Use Lagrange multipliers to find the maximum and minimum values of
marusya05 [52]

The Lagrangian is

L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)

It has critical points where the first order derivatives vanish:

L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}

L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y

L_\lambda=x^2+y^2-4=0

From the first two equations we get

-\dfrac1{2x}=-\dfrac4y\implies y=8x

Then

x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}

At these critical points, we have

f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125 (maximum)

f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125 (minimum)

5 0
3 years ago
How to write 8/15 as a decimal?
Murrr4er [49]

Answer:

0.53

Step-by-step explanation:

Basically just go to your calculator and put in 8 divded by 15

3 0
2 years ago
If the area of a circle measures 25 pi cm², what is the circumference of the circle in terms of pi?
jeyben [28]

Answer:

10π cm

Step-by-step explanation:

Given

Area of the circle=25π cm^2

Solution

πr^2=25π

r^2=25

r=√25

r=5

So circumference of the circle=2πr

=2π×5

=10π cm

So the answer is 10π cm

8 0
2 years ago
Other questions:
  • Find the seventh term of each sequence <br> 1, -3, 9, -27.....
    13·1 answer
  • A golf retailer purchases its clubs from a wholesaler at $38 per club. It sells the same clubs to golfers at $72 per club. What
    6·1 answer
  • What is the solution to the equation StartFraction 1 Over x EndFraction = StartFraction x + 3 Over 2 x squared EndFraction?
    8·2 answers
  • A rectangular solar panel has a length that is 13 inches shorter than 4 times its width. if the perimeter of the panel is 174 ​i
    13·1 answer
  • Gia spends 2\5 of her money on a shirt and 4\9 of her remaining money on shoes. What fraction of her money is left?
    14·1 answer
  • 23 A circular fish pond has an area of 20m 2 Calculate the diameter of the fish pond.
    6·1 answer
  • Two ships leave port, one sailing east and the other south. Some time later they are 17 mi apart, with the eastbound ship 7 mi f
    7·2 answers
  • How many square feet of outdoor carpet will we need for this hole
    7·1 answer
  • In equilateral triangles STU:
    10·2 answers
  • Slope-intercept form of the line that goes through the points (-9, 10) and (-7, 2)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!