How many distinct rearrangements of the letters in "sleepless" are there?

Answers

Answer 1

Answer:

[tex]N = 5040[/tex]

Step-by-step explanation:

Required

Arrange the letters of "sleepless"

First, we count the number (n) of characters

[tex]n = 9[/tex]

First, we count the number (n) of repeated characters

[tex]s = 3[/tex]

[tex]e = 3[/tex]

[tex]l = 2[/tex]

The arrangement (N) is then calculated as follows;

[tex]N = \frac{n!}{s!e!l!}[/tex]

This gives:

[tex]N = \frac{9!}{3!3!2!}[/tex]

[tex]N = \frac{9*8*7*6*5*4*3*2*1}{3*2*1*3*2*1*2*1}[/tex]

[tex]N = \frac{362880}{72}[/tex]

[tex]N = 5040[/tex]

Hence, there are 5040 distinct arrangements


Related Questions

The book store earned x dollars in profit. Last week, the total profit
increased by 5%. Which expression represents the book store's total
increase in profit?

Answers

Answer:

x + 0.05x

Step-by-step explanation:

Given

Earnings earned by the bookstore = x

percentage increase = 5%

Increment = 5% of x

Increment = 0.05x

book store's total  increase in profit = Original earning + increment

book store's total  increase in profit x + 0.05x

Hence the expression that represents the book store's total  increase in profit is x + 0.05x

What is the coefficient: 4 - 2y

Answers

the answer is 4 :)
hope that helped!

The coefficient of the variable y for the given equation 4 - 2y is -2.

What is the coefficient?

A coefficient is a number that is being multiplied by the variable, i.e. the numerical term with variable, that is a number that is placed before another variable. While the variable represents some quantity, it may also represent a number, a function, etc. The letters a, b, c, x, y, and z are common symbols used for variables.

We have,

An equation 4 - 2y,

So,

In the above-given expression,

We have only one variable and one Constant term,

i.e.

Constant term = 4

And,

Variable term = -2y

So,

In the variable term,

The coefficient of y = -2

So,

The coefficient of y is -2.

Hence, we can say that the coefficient of the variable y in the given equation is -2.

To know more about coefficient click here

https://brainly.com/question/1465771

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A student simplifies the expression correctly.

218 ÷ 29

Which equation justifies how the expression would simplify?

Answers

Answer:7.51724137931

Step-by-step explanation:

Geomeyry question 19

Answers

Answer:

B, C, D, E

Step-by-step explanation:

3. Jada can bake 12 cookies in 20 minutes. How many cookies can she bake 1
in 6 hours? HINT: 20 minutes and 6 hours are not equal, the hours MUST be
turned to minutes.

Answers

Answer:

she can bake 216 cookies in 360 minutes

Step-by-step explanation:

Answer:

Jada can bake 216 cookies in 6 hours.

Step-by-step explanation:

We need to know how many she can cook in 6 hours.

She currently bakes 12 every 20 minutes

we know that 1 hour is 60 minutes.

So we multiply 12 by 3 to get 36 because we know 60 minutes divided by 20 minutes is 3 minutes.

Now we know that she bakes 36 cookies in 1 hour

But it asked for 6 hours so simple multiplication:

36 cookies per 1 hour X 6 hours

36X6= 216

helpppppppp meeeeeeee​

Answers

Answer:A

Step-by-step explanation:

Find the slope of the line going through the points (-4, 3) and (-1,-6)

Answers

Answer:

[tex] \big \: slope = - 3[/tex]

Step-by-step explanation:

[tex] \boxed {slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} }[/tex]

HERE,

[tex]slope = \frac{( - 6) - 3}{( - 1) - ( - 4)} [/tex]

[tex] = \frac{ - 9}{3} [/tex]

[tex] = - 3[/tex]

Therefore,

[tex] \green{\boxed { \red{ \bold{slope \: = - 3}}}}[/tex]

A wizard-in-training has 300 grams of 20% liquid-gold solution. He wishes to drain some and replace it with an 80% solution, so that he gets 300 grams of 35% solution. How many grams should the wizard drain and replace with 80% solution?

Answers

Answer:

it would take 4 grams. I hope this helps

Answer:

75 grams! hope this helps :3

Express (x+9)^2(x+9)
2
as a trinomial in standard form.

Answers

Given:

[tex](x+9)^2[/tex]

To find:

The given expression as a trinomial in standard form.

Solution:

We have,

[tex](x+9)^2[/tex]

Using the formula, [tex](a+b)^2=a^2+2ab+b^2[/tex], we get

[tex](x+9)^2=x^2+2(x)(9)+(9)^2[/tex]

[tex](x+9)^2=x^2+18x+81[/tex]

Standard form a trinomial is [tex]ax^2+bx+c[/tex].

[tex]x^2+18x+81[/tex] is in the standard form.

Therefore, the required expression is [tex]x^2+18x+81[/tex].

4x + 2y = 32
5x - 2y = 31

Answers

Answer:

Step-by-step explanation:

-8x-y=16;3x-y=5 | | x-y=11;2x+y=4 | | -8x-8=-40y;50y-10=10x | | 0=-11y+8x+33;-1+4/9x+1/3y=0 | | 0=-16+4x+4y;0=28-7y+7x | | 3x-y=9;-3x+y=-9 | | -4x+y=8;4x-y=8 | | x=2y-8;-2x+3y=14 | | y=2x;y=2x-3 | | x-3y=2;7x+y=36 | | 2x+5y=16;2x+3y=8 | | 2c+5p=16;2c+3p=8 | | x/5;7/4 | | -(x-2)=3(y+1);2x+3=4y-1 | | 4x-12y=17;2x+6y=1 | | 1A+4C=85;3A+2C=105 | | 2x-11y=7;3x-9y=7 | | 40-2x;X=3 | | x+y=220;2x+4y=520 | | 3p+2b=29;5p+3b=47.50 | | 4x+2y=23.50;2x+4y=18.50 | | t=2r+3;5r-4t=6 | | x+y=5157.50;y-x=917.50 | | x+y=177;x=97 | | x+y=55;x+10=181 | | x+y=10;x-y=4 | | 1/5x+1/3y=14/15;1/5x+4y=78/5 | | 8x+16y=3520;-8x-8y=2560 | | 1/25x-1/100y=7/5;1/4x+4/25y=66/5 | | -2x+5y=5;-4x+10y=0 | | 1/2x+1/3y=-5/3;1/2x+4y=2 |

| 3x+2y=-3;x=21-8y | | 5x-y=27;x+y=9 | | 36x-4y=16;y=9x+4 | | -15x-10y=1;15y=1+10x | | 3x+7y=9;x=2-2y | | 2x+y=8;y=2x | | x-2y=10;x | | x+y=2;x-y=2 | | 7x-y=27;9x-4y=3 | | x+y=480;x-y=400 | | 3x+2y=78.39;2x+3y=74.61 | | 11x+15y=6912;-11x-11y=-6336 | | 1.6x+1.6y=160;x-y=10 | | y=-1/2x-5;6x-2y=24 | | x+y=4;y-x=4 | | 5x=22-y;7x=35+2y | | 3x=12+2y;-6/5x+y=-9/5 | | 3x+2y=0;12x+2=6y | | 2x-5y=-9;5x+2y=50 | | x+y=4;x+y=-2 | | 7x-y=41;x+5y=47 | | 2x-y=7;9y=2x-31 | | x+y=11;6x-y=10 | | 0.1x+0.5y=-0.8;0.8x-0.6y=7.4 | | 1/3x+1/2y=1/6;1/3x+2y=5/3 | | 16x-10y=4;8x=5y+2 | | 15x-20y=7;10y=-3+5x | | x=5y-5;-2x+10y=10 | | 5x-27=-y;4x-y=0 | | 5x-27=-1y;4x-1y=0 | | 4x+5y=3;x=3-2y | | 6x+2y=10;12x+4y=21 | | x+y=5;3x+2y=10 | | -12x+14z=-14;-14x-14z=98 |

PLEASE HELP ME! I AM BEGGING YOU!

Answers

Answer:

Do I have to download it?

Step-by-step explanation:

The measures of the angles of a triangle are show In figures below Solve for x.ASAP

Answers

X=59 all triangles have a sum of 180. So we subtract our given. 180 - 74 = 106. Then we subtract our givin again. 106 - 47 and boom our answer is 59.

g If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that: Both hypotheses H0 and H1 can be accepted The null hypothesis H0 cannot be rejected The null hypothesis H0 can be rejected The research hypothesis H1 can be accepted

Answers

Complete Question

If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that:

A  

Both hypotheses H0 and H1 can be accepted

B

The null hypothesis H0 cannot be rejected

C

The null hypothesis H0 can be rejected

D

The research hypothesis H1 can be accepted

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

     The p-value  is  [tex]p-value = 0.07[/tex]

     The level of significance is  [tex]\alpha = 0.05[/tex]

Generally given that it is a one tail test then the possible value of  

   The null hypothesis is  [tex]H_o : \mu = x[/tex]

Here [tex]\mu[/tex] is the mean and  x  is the value  

 the possible values of the  alternative hypothesis is  [tex]\mu > x \ \ or \ \ \mu < x[/tex]

Now from the value given we see that the  [tex]p-value > \alpha[/tex]  hence

The decision rule is  

    Fail to reject  the null hypothesis

       

15x+20-65
X=?
What does x equal

Answers

Supposing this expression is =0,
x=3

Tell whether the relation is a function. Explain.

Answers

Answer:

It is not a function.

Step-by-step explanation:

A relation can only be a function if every input (x-value) of the set of values of the relation, has exactly one output (y-value).

In the relation given, one input, -2, has two output related to it, 5 and 0. That's (-2, 5) and (-2, 0).

Therefore, the relation is not a function.

EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?

Answers

Answer: 6, 21, 3

Step-by-step explanation:

2:7:1

Also, 2x 7x and 1x or just x

2x+7x+x = 30

10x = 30

x=3

So the three numbers: 2(3):7(3):1(3) OR 6:21:3

Some plz help it’s for all of them

Answers

Answer:

a is 0,4

Step-by-step explanation:

Answer:

A) 4,0

G) 1,4

Q) 0,-4

N) -4,-3

Can anyone solve this? If so tell me and make sure u know what ur doing please

Answers

Answer:

-2

Step-by-step explanation:

To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 2) and (-1, -2).

[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-2}{-1-(-3)}[/tex]

     = [tex]\frac{-2-2}{-1+3}[/tex]

     = [tex]\frac{-4}{2}[/tex]

     = -2

Choose the equation that best represents the equation of the graph of f(x) = 3^x +4.

A) y = 4
B) x = 0
C) x = 4
D) y = 0​

Answers

The answer would be D

"Individuals, cultures, societies, and the world change through times of conflict and cooperation."
The statement above exemplifies the era of global expansion and encounter. What other word also reflects this theme?
Technology
Trade
Monopoly
Hegemony

Answers

I would say hegemony
Hegemony because it encompasses dominance in which cultures typically dominate over one another creating a popular culture.

I need ya help please

Answers

X = 63 because they are complementary angles same degree! :) please mark brainliest

What is 2×+y=9 in the y=mx+b form?

Answers

Answer:   y=-2x+9

Step-by-step: Subtract 2x from 2x+y=9 and get y=-2x+9

Find the percent of change for 25 is decreased to 10.

Answers

Answer:

60%

Step-by-step explanation:

25-10=15

15÷25=0.6

0.6×100=60

write an equation for the line in slope-intercept form​

Answers

Answer:

Mx+b=y

Step-by-step explanation:

Which equation represents the rental cost of the company with the least expensive hourly rate?

Answers

Answer:

c. y = 2x + 4

Step-by-step explanation:

Hope you got it.

Determine a constant in 9x + 4y -13.
A) -13
B) 9x
C) 4y

Answers

I think the answer is c

,
If x=y and y = 18, what is the value of 2x-3?
3
A) 21
B) 15
C) 12
D) 10

Answers

Answer:

33. 2x18-3. 36-3=33 the answer is 33

Rosalita is making chocolate chip cookies. She needs 20 ounces of
chocolate chips. She has
2 1/4 pounds of chocolate chips. There are 16 ounces in 1 pound. How
many ounces of chocolate chips will Rosalita have left after she makes her
cookies?

Answers

the correct answer is 16

Identify a diameter of circle E.

Answers

Answer: B) HI

Step-by-step explanation:


The point (-3, 8) is translated using the rule (x + 5, y - 7). The new point is (____).
O (2, 1)
O (8,1)
O (-2, 15)
0 (-8, 1)

Answers

Answer:

(2, 1)

Step-by-step explanation:

You add 5 to the x coordinate, which is -3 and you get 2. Then add -7 to the y coordinate, which is 8 and get 1

Answer:

(2, 1)

Step-by-step explanation:

(x + 5, y - 7), (-3, 8)

(- 3 + 5, 8 - 7) = (2 + 1)

Thus, The new point is (2 + 1).

-TheUnknownScientist

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