Assigned seating forever! Ms. Clore has 28 desks in
her classroom. She numbers the desks from 1 to 28.
On the first day of class, Ms. Clore places identical
slips of paper numbered 1 to 28 in a hat. Each of the
28 students in her statistics class draws a slip from the
hat upon entering the classroom to determine his or
her assigned seat. How many possible seating assign-
ments are there?

Answers

Answer 1

Using the arrangement formula, it is found that there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.

The number of possible arrangements of n elements is given by the arrangement formula, as follows:

[tex]A_n = n![/tex]

It is used when n elements are arranged in n positions.

In this problem, 28 students are arranged on 28 desks, hence [tex]n = 28[/tex], and:

[tex]A_{28} = 28! = 3.05 \times 10^{29}[/tex]

Hence, there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.

You can learn more about the arrangement formula at https://brainly.com/question/24648661


Related Questions

A school with 60 teachers is on alert during a nighttime storm. To inform teachers whether the school will open the next day, the principal will call four teachers, each of whom will call two others, and each of these will call two others, and so on until all 60 teachers have been contacted. How many teachers will have to make two calls?

A) 32
B) 29
C) 16
D) 24
E) 28

Answers

Answer:

The answer is 16

Step-by-step explanation:

call four teachers, each of whom will call two others, and each of these will call two others

Answer:

  E) 28

Step-by-step explanation:

The 4 teachers the principal calls will each make 2 calls.

The 8 teachers they call will each make 2 calls.

The 16 teachers they call will each make 2 calls. At this point, all 60 teachers have been notified, and the last 32 recipients of calls don't need to call anyone.

4 +8 +16 = 28 teachers make 2 calls.

Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase?

Answers

Answer:

$132.74

Step-by-step explanation:

6.75% = 0.0675

Multiply 124.35 by 1.0675 because sales tax is added to original cost.

(124.35)(1.0675) = 132.74

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

What is percentage?

The percentage is the value per hundredth.

According to the given question, the sales tax is 6.75% which is not included in the home improvement hardware which cost Anya 124.35 dollars.

∴ The total cost of Anya's purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

learn more about percentage here :

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#SPJ5

HELPPP PLZZ AND THANK YOU <3

Answers

Answer:

Step-by-step explanation:

From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2

Answers

Answer:

  4x^2 +9xy +6y^2

Step-by-step explanation:

Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.

  7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)

  = (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2

  = 4x^2 +9xy +6y^2

HELLPPPP MEEEEE ASAPPPPPPP PLEASEEEEEEEEEEEEWEEEEEEEE​

Answers

Answer:SORRY CANT HELP U THERE

Step-by-step explanation:

Make x the subject
5px+q^2=3c

Answers

Answer:

x=[tex]\frac{3c-q^2}{5p}[/tex]

Step-by-step explanation:

5px+q^2=3c

subtract q^2 from both sides

5px=(3c)-q^2

divide by 5p from both sides

x=[tex]\frac{3c-q^2}{5p}[/tex]


Where is 0.5 on the graph? I have to do ( 0.5, 4)

Answers

Answer:

It would be between the 0 and the 1 on the horizontal line

0.5 is where the blue dot is, then for 0.5 , 4 just go up 4 from there

solve 2 2/3 x 3 3/5 using an area model of 4 squares.​

Answers

Answer:

Step-by-step explanation:

the answer

the true answer  is A) 4x^2+52x+165=320; x = 2.5

proof:

since they want to limit its area to 320 in^2

x must be equal 2.5, because 4.(2.5)^2+52(2.5)+165= 25+130+165=320;

the main rule of the area of a triangle is

A= (base x height )/2

let be b the base and h the height

so h=20- 6b

so 50= b x( 20-6b) /2, implies 100/b = 20 - 6b

if b=x, we have 100= 20x -6x² this  is equivalent to 6x² - 20x = -100

so the answer is

D) None of the choices are correct.

the largest dimensions that can be used for the fountain are

B) x^2+8x+16=800

C) x^2+16=800

proof

x^2+8x+16=x^2+8x+4², 4² is the area of the square fountain, and x^2+8x should be the remaining of the area, the total space that the fountain and sidewalk can use is 800, it is  less than 800 ft^2.

Use the same method for. x^2+16=800

Answer:

I don't know but good luck!!!!!

13. If r + 9 = 42, does r +9-9=42 +9?
Why or why not?

Answers

Answer:

no

Step-by-step explanation:

if u subtract negative nine from one side of the equation, in order to keep both sides of the equation equal, you must subtract 9 from the other side. moreover, if you subtract nine from one side and add 9 to the other, there will be a 9+9=18 difference in values of both sides

brainliest pls thanks

Write the gcf of:
200x^2y^5 and 1000x^3y^2


Answers

Answer:

Step-by-step explanation:

200 divides into 1000 so that is part of the HCF.

x^2 and x^3 are present so the HCF contains x^2

y^2 and y^5 are present so the HCF contains y^2

HCF = 200*x^2 * y^2

The graph of the function, fx) = -2x + 6x-3, opens blank
and has a blank
value.

Answers

The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

The function is given as:

[tex]f(x) = -2x^2 +6x - 3[/tex]

See attachment for the graph of function f(x).

From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.

Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

Read more about quadratic functions at:

https://brainly.com/question/11631534

if you take 3/4 of 1 3/5 how much do you have

Answers

Answer:

1 1/5

Step-by-step explanation:

1.6*3/4

4.8/4

1.2

1 1/5

Answer:17/20Step-by-step explanation:1 3/5 - 3/4 => 8/5 - 3/4=> 32/20 - 15/20=> 17/20Conclusion:

Therefore, the answer is 17/20.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Help me please ;-;
NO LINKS!!!

A ___________ represents a relationship between two quantities. Select all that apply.

A. Equation
B. Graph
C. Table
D. Function

Answers

Answer:

D. Function

Step-by-step explanation:

Function:a relationship or expression involving one or more variables.

"the function (bx + c)"

Sara bought a pair of jeans for $75. If the jeans were on sale for $25 off, calculate the discount.

Answers

Answer:

33.3333% decrease

Step-by-step explanation:

Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100

75 - 25 = 50

the price went from $75 to $50.

75 - 50 = 25

25 ÷ 75 = 0.3333333333333

0.3333333333333 x 100

= 33.3333%

Answer:

the discount was 33.3% off

Step-by-step explanation:

((New - Old)  / |Old|) x 100

((50 - 75) / |75|)  × 100

(-25 / 75) = -0.333

-0.333 x 100 = 33.3%

I got this homework packet , I did some of the questions but graphs are what I’m stuck on the most .

Answers

Answer:

For the first picture, I think it is C and the second one should be A.

Step-by-step explanation:

You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.

Sonal and Gaurav have 2 numbers written on a piece of paper. Sonal's number PQR is divisible by
3 and 4. Gaurav's number STU is divisible by 2 and 9.
The two numbers are joined to form a new 6-digit number PQRSTU as shown.
The number PQRSTU IS DEFINITELY divisible by
A 4 B 6 с 8 D 9

Answers

PQRSTU is definitely divisible by 4.

Since Sonal and Gaurav have 2 numbers written on a piece of paper, and Sonal's number PQR is divisible by 3 and 4, while Gaurav's number STU is divisible by 2 and 9, and the two numbers are joined to form a new 6- digit number PQRSTU, to determine the number by which the number PQRSTU is definitely divisible by, the following logical reasoning must be performed:

Since the numbers are not added mathematically, but joined numerically, and that STU is the last number in the row, and that it is divisible by 3 and 4, while only 4 is among the options, the number PQRSTU is definitely divisible by 4.

Learn more about maths in https://brainly.com/question/20010402

One minute is (60,12,50,100 pick one ) times as long as ( one hour or one second)

Answers

Answer:One minute is 60 times as long as one hour i guess?

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

Answer:

option 4

Step-by-step explanation:

(y intercept and negative slope)

guys please (number 3)

Answers

Answer:

500 < c < 1,700

Step-by-step explanation:

⦁ The weekly sales of ABM students on their "Go Negosyo" project are normally distributed with mean of P3,200 and standard deviation of P500. What percent of their weekly sales are over P4,000? A. 94.52% (B). 77.34% C. 5.48% D. 22.57%

Answers

It is bbbbbbbbbbbbbbbbbb

Using the normal distribution, it is found that the percentage of their weekly sales over P4,000 is given by:

C. 5.48%

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 3200, \sigma = 500[/tex].

The proportion of their weekly sales over P4,000 is 1 subtracted by the p-value of Z when X = 4000, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4000 - 3200}{500}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a p-value of 0.9452.

1 - 0.9452 = 0.0548 = 5.48%.

Hence option C is correct.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Stacey is selling popcorn at a rate of $2 per bag. She is only charging a one time thing for $0.50 for tax. What is the equation of this description?

Answers

2x+.50 because the rate is 2 so it goes with x and one time payment of .50 so it is the y intercept

4/9 + 9/18. Please help me as soon as possible, it's due today.

Answers

Answer:

[tex]\frac{17}{18}[/tex]

Step-by-step explanation:

To solve 4/9 + 9/18 just find the common denominator which is 18.

to get 4/9 to get the denominator of 18 you multiply the denominator by 2:

9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.

Now, add the numerator and keep the denominator the same. 8 + 9 = 17.

8/18 + 9/18 = 17/18

Julie counts the cars passing her house, and
finds that 2 of every 5 cars are foreign. If she
counts for an hour, and 60 cars pass, how
many
of them are likely to be domestic?
a. 12 cars
b. 24 cars
C.30 cars
d. 36 cars

Answers

Bbbbbbbbbbbbbbbbbbbb

The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.​

Answers

Answer:

3cm and 7cm

Step-by-step explanation:

The length is 7cm.

The width is 3cm.

Area = Length × Width = 7cm × 3cm = 21cm²

l= prt is an example of.

Answers

Answer:

intrest=principle*rate* time

Step-by-step explanation:

Base formula, written as I = Prt or I = P × r × t where rate r and time t should be in the same time units such as months or years. Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter.

1. An expressions equated to another expression is called _______.
2. If a = 5, the value of 2a + 5 is _______.
3. The sum of twice and four times of the variable x is ______.

need help ~

thx for answering~​

Answers

Answer:

1:Cubic

2:5a and the value in the 2a is a exp.

3:Quintic

Step-by-step explanation:

Im sure this answer is correct

An expressions equated to another expression is called an equation

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Given that a = 5, hence:

2a + 5

substituting values:

2(5) + 5 = 10 + 5 = 15

2a + 5 = 15

The sum of twice and four times of the variable x is 2x + 4x = 6x

Find out more on equation at: https://brainly.com/question/2972832

The number of hours needed to assemble computers varies directly as the number of computers and
inversely as the number of workers. If 16 workers can assemble 40 computers in 10.25 hours, how many
workers are needed to assemble 68 computers in 16.40 hours?

Answers

The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

let

number of hours = h

number of computers = c

number of workers = w

h = k × c / w

where,

k = constant of proportionality

h = 10.25

w = 16

c = 40

h = k × c / w

10.25 = k × 40 / 16

cross product

10.25 × 16 = k × 40

164 = 40k

k = 164/40

k = 4.1

If

c = 68

h = 16.40

h = k × c / w

16.40 = 4.1 × 68 / w

cross product

16.40w = 4.1 × 68

16.40w = 278.8

w = 278.8 / 16.40

w = 17 workers

Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

Learn more about ratio:

https://brainly.com/question/16981404

FACTORIZE AND Split the middle term: 72 + b - b^2​

Answers

Answer:

- (b - 9)(b + 8)

Step-by-step explanation:

72 + b - b² ← factor out - 1 from each term and rearrange into standard form

= - (b² - b - 72) ← factor the quadratic

Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)

The factors are - 9 and + 8

Use these factors to split the b- term

b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )

b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term

(b - 9)(b + 8)

Then

72 + b - b² = - (b - 9)(b + 8)

A gold chain with an original price of $150 is on sale for $87 what is the percent of the discount

Answers

Answer:

i believe its 58%

Step-by-step explanation:

#4 (Show your work)
Pablo worked 3 jobs last summer. Pablo made $767.56 kifeguarding. $598.99 mowing lawns, and $643.33 house-sitting. How much money did Pablo earn doring summer?​

Answers

Answer:

$2009.88

Step-by-step explanation:

767.56+598.99+643.33 = $2009.88

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