There are 31 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a four person couch?

Answers

Answer 1

Answer:

7.75

Step-by-step explanation:

Answer 2

The total number of ways could the guests be arranged on a four person couch is 31465.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that there are 31 guests at your home for a dinner party.

The total number of ways could the guests be arranged on a four person couch is -

C{31, 4} = 31!/{(31 - 4)!4!}

C{31, 4} = (31 x 30 x 29 x 28 x 27!/27! x 4!) = (31 x 30 x 29 x 28)/24 = 31465

C{31, 4} = 31465

Therefore, the total number of ways could the guests be arranged on a four person couch is 31465.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5


Related Questions

please help me write the expressions I'm terrible at word problems!!​

Answers

Answer:

Expression: 2.89+(1.28x3) Answer: 6.73

Step-by-step explanation:

Number 1

how many times greateri is the value of the digit 9 in 90,000 than the value of the digit 9 in 9,000

Answers

Answer:

It is 10 times greater.

Step-by-step explanation:

The place value of 9 in 90,000 is in the 10,000th place.

The place value of 9 in 9,000 is in the 1,000th place.

10,000 divided by 1,000 = 10.

In conclusion, the place value of 9 in 90,000 is 10 times greater than the palce value of 9 in 9,000.

Solve for x. Show your Work.

Answers

Answer:

50+3x+4 = 90

54+3x = 90

3x = 90-54

3x = 36

x = 12

3x+4  = 3(12)+4

          = 36+4

          = 40

3+(-2)-(-3)-(5)+(-1)-(-7)=

Answers

Answer:

-1

Step-by-step explanation:

did math on caculator

Brainliest be good peeps Calculate the missing term in each and for 2 its not 6/7 it cant be okay? thanks tho if you try and get that.
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15

Answers

Answer:

Step-by-step explanation:

For 2 it is 6/7. 36 and 42 share a common factor, 6. If you divide each one by 6, 36 becomes 6, and 42 becomes 7. So, number 2 is 6/7.

Yes the person that answered were correct I had this question

Line x has a slope of -1/2. Line y is perpendicular to line x. What is the slope of line y?

Answers

Answer:

2

Step-by-step explanation:

perpendicular means the opposite inverse of a slope. So -1/2 will become 2/1 or simply 2.

opposite means the sign will change, negative becomes positive and positive becomes negative.

inverse flip numerator and denominator.

[tex]\huge\boxed{Hi\;there!}[/tex]

★Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, change its sign, and then, flop it over:

[tex]\displaystyle-\frac{1}{2}[/tex]

[tex]\displaystyle\frac{1}{2}[/tex]

[tex]2[/tex]

[tex]\huge\boxed{\mathfrak{Answer:{\boxed{the\;slope\;of\;line\;y\;is\;2}}}}}[/tex]

[tex]\bold{Hope\;it\;helps!}[/tex]

[tex]\rm{Enjoy\;your\;day![/tex]

[tex]\boxed{AmiableTeen:)}[/tex]

The hours a week people spend answering and sending emails is normally distributed with a standard deviation of Ï = 150 minutes. How large of a sample size would you need to estimate the mean number of minutes people spend answering and sending emails with an error of 1 minutes with 99% confidence? What would be the practical problem with attempting to find this confidence interval?

Answers

Answer:

sample size n would be 149305 large

Value of n (149305) is too high, this will be the practical problem with attempting to find this confidence interval

Step-by-step explanation:

Given that;

standard deviation α = 150 min

confidence interval = 99%

since; p( -2.576 < z < 2.576) = 0.99

so z-value for 99% CI is 2.576

E = 1 minutes

Therefore

n = [(z × α) / E ]²

so we substitute

n = [(2.576 × 150) / 1 ]²

n = [ 386.4 ]²

n = 149304.96 ≈ 149305

Therefore sample size would be 149305 large

Value of n is too high, that would be the practical problem with attempting to find this confidence interval

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

the line goes through the points (1,2),(5,3) and (9,4)

so the rise is 1
the run is 4

so the slope (aka rise over run) is 1/4x

What value of x makes the equation -0.2(3x – 25) = -0.1x + 7 true?

Answers

Answer:

x = -4

Step-by-step explanation:

Ok first let's put the equation.

-0.2(3x – 25) = -0.1x + 7 (first distribute the -.2 to 3x and -25)

-0.6x + 5 = -0.1x + 7 (subtract 5 on both sides)

-0.6x = -0.1x + 2 (add -0.1x on both sides)

-0.5x = 2 (divide by -0.5 on both sides)

x = -4

Hope this helps!!

ATA movie theater the size of popcorn has decreased by 10%. If the old bag held 14 cups how much does the new bag hold

Answers

I think

Step-by-step explanation:

12.5 since it decreases 10% and the old bag had 14 cups and 10% is 1.4

Expressions equivalent to z+(z+6)

Answers

Answer:

2z+6

Step-by-step explanation:

Answer:

z+ (z+6) =2 (z+3)

Step-by-step explanation:

the other given optional expressions are not equivalent to the given expression. The option 2 (z+3) is correct and it is the equivalent expression. Hence the given expression z+ (z+6) is equivalent to the expression 2 (z+3)

Please I need help I give brainliest!!

Answers

Answer:

x=x

Step-by-step explanation:

Give two reasons why it's impossible to draw triangle PQR m angle Q=103^ m angle R=47^ p = 44 q = 12 , and f = 31

Answers

Answer:

It is impossible becuase it would not eqaul the numbers a regular triangles would have. A triangle has to equal a certain number and this number does not make a traingle.

Reason 1: The hypotenuse is invalid, because 44^2 does not equal 12^2 + 31^2.

Reason 2: The angles measures do not correlate properly to their assigned letter sides (at least to me). Additionally, 30 degrees just doesn't make any sense from a logical standpoint.

Charlie bought a pair of shorts at the store when they were having a 45% off sale. If the regular price was 24$ how much did charlie pay?

Answers

Answer:

$10.80

Step-by-step explanation:

45% of $24=10.8

use place value and money to make it $10.80

TEN DOLLARS AND EIGHTY CENTS

15x + 10 - 6 PLEASE HELP ME SOLVE THIS PLEASE SHOW WORK TO? THANK YOU

Answers

This is how you do it

a snail crawls 3/4 inches in 1/5 of a minute how long will it take the snail to crawl 1/2 in?

Answers

Answer:

15/4

Step-by-step explanation:

Whenever you are working with a question of rate where two different quantities are being compared, the required units will indicate which quantity is to be divided by which.

3/4 divided by 1/5

3/4 times 5/1 (multiply reciprocal)

=15/4

I havent done this in a while so im not entirely sure.

$1.00 to 2/3 gallon
2
10 points
A caterer needs to buy 21 pounds of pasta to cater a wedding. At a local store, 8 pounds of pasta cost $12. How much is the cost per
pound?

Answers

Answer:

$1.5/pound

Step-by-step explanation:

Number of pounds  = 8pounds

Cost of pasta = $12

Now;

  Unknown:

           cost per pound of pasta

Solution:

To find the cost per pound of pasta;

 Cost per pound of pasta  = [tex]\frac{cost of pasta}{number of pasta}[/tex]  

  Cost per pound of pasta = [tex]\frac{12}{8}[/tex]   = $1.5/pound

HELP PLEASE IM LOOSING MY MIND

Answers

Answer:

C is da answer

Step-by-step explanation:

Answer:

never seen such big horror

but I think it D using logic

Ivy wants to see 20 birds on her hike. So far, she has seen 8. How many more birds does she need to see.

Answers

Answer:

12

Step-by-step explanation:

20-8=12

How many pounds of chocolates that cost $7 per pound must be mixed with 3 pounds of caramels that cost $3.50 per pound to make a candy mix that
cost $5.25 per pound?

Answers

Answer:

You know somw things are changed i can't even answer that so please answer it yourself because hahhahaahahaahahhahahahha hello

Step-by-step explanation:

Because i dont know how to answer that ok?! Tell that to ur mom haha

A pair of shoes was $5 but is now on sale for
$4. What is the percent discount?

Answers

Answer:

20%

Step-by-step explanation:

i actually dont know sorry :(

Answer:

20% discount

Step-by-step explanation:

4/5 = 80%

5/5 - 4/5 = 1/5

1/5 = 20%

Tony and some friends went to the movies. They bought 4 drinks and 2 tubs of popcorn and spent a total of $32.50 on the food. Each drink costs $3.50 less than a tub of popcorn.
a. Define a variable. Write an equation that can be used to find the cost of one tub of popcorn.
b. Solve the equation to find the cost of a tub of popcorn.

Answers

Your answer would be B

How do you evaluate a division problem

Answers

Answer:

Step-by-step explanation:

Not wanting to be trite, i'd still suggest that you use a calculator for routine division.  Round off your answer (quotient) to an appropriate number of decimal places.

For example, 2/3 comes out to 0.66666 ... (repeating decimal).  You might want to round this off to 2 decimal places: 0.67.

The old fashioned "long division" is another method.

       0  .  6

    -----------

3  /   2  .  0   0   0

       0.    0  0    0

   ---------------------

        1.     8

and so on.  You still need to round off the quotient to a suitable number of decimal places.

   

How can you use counters to show division and subtraction
relationship

Answers

Answer:

what grade are u in just need to know so I can help bc I dont understand the question

Each square and figure DNE has a side length of one unit compare the area of the two figures which figure has more area how much more explain or show your reasoning

Answers

Answer:

✅Figure E has more area

✅Figure E has 5.14 units² much more than Figure D.

Step-by-step explanation:

The logic to solving this kind of problem is to decompose and each of the figure to find out how many squares and circles are there in each figure, them calculate the area of each figure using the formula for area of square and area of a circle.

✍️Figure D:

Figure D is composed of 2 squares and 4 semicircles (2 full circles).

Since side length of 1 square = 1 unit, therefore, radius of the semi-circle/circle = 1 unit.

Area of the 2 squares = 2(s²) = 2(1²) = 2 unit²

Area of the 2 full circles = 2(πr²) = 2(3.14*1²) = 6.28 unit²

Area of Figure D = 2 + 6.28 = 8.28 unit²

✍️Figure E:

Figure E is composed of 4 squares and 6 quarter circles (3 full circles).

Area of the 4 squares = 4(s²) = 4(1²) = 4 unit²

Area of the 3 full circles = 3(πr²) = 3(3.14*1²) = 9.42 units²

Area of figure E = 4 + 9.42 = 13.42 unit²

✅Therefore, we can conclude that Figure E has more area.

✅Figure E has 5.14 unit² more area than Figure D (13.42 - 8.28 = 5.14).

1. Simplify by using the distributive property:
4 (2x +9)​

Answers

Answer:

8x+36

Step-by-step explanation:

Hi, let me help you out!

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

In order to simplify this, we should use the Distributive Property:

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

According to the property,

[tex]\longrightarrow\tt{4(2x+9)=8x+36}[/tex]

I hope it helps you! Have an awesome day!

If you need any explanation or clarification, feel free to reach out! :D

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  - - - - - - - - - -  - - - - -

Consider the function shown on the graph. Complete the statements to make them true

Answers

Answer:

Domain: x ≥ -5

Range: y ≥ -2

Step-by-step explanation:

The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.

Therefore:

✅Domain: x ≥ -5

The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.

Therefore:

✅Range: y ≥ -2

Missy wants to find the surface area of a snack box in her pantry her work is shown below

Answers

Answer:

Step 2: Missy did not multiply the area of each face by 2 before adding.

Step-by-step explanation:

I took the test :)

A store manager created this table representing the relationship between the reported number of snow days during a given month, x, and the sales revenue of bags of rock salt, y, rounded to the nearest dollar.

Using the linear best-fit model for the data, what is the predicted sales revenue of rock salt given there were 11 snow days in the month?

$773.00
$1,374.00
$1,457.00
$1,474.00

Number of snow days

Rock salt sales revenue
2 $823.00
1 $725.00
3 $943.00
5 $1,086.00
4 $997.00
3 $951.00
7 $1,163.00
6 $1,098.00

Answers

Answer:

1374.00

Step-by-step explanation:

I just took the test

oh this is for k12 students by the way

If the coordinate ( -12, 15 ) was translated according to (x+3, y-2), what would the new coordinate be?

Answers

(-9,13) hope this helps
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