At a birthday party, 5 boys and 3 girls are seated in a row. How many different arrangements are possible if there are no restrictions?

Answers

Answer 1

Answer:

40320

Step-by-step explanation:

There are 5 boys and 3 girls

With no restrictions, 8 people can seat in 8! ways

8! = 40320 arrangements

Answer 2

Answer:

40320

There are 5 boys and 3 girls

With no restrictions, 8 people can seat in 8! ways

8! = 40320 arrangements


Related Questions

The length of a day on Earth is 24 hours. The length of a day on Mercury is 58 2/3 times the length of a day on earth. The length of a day on Mercury in hours is

Answers

Answer:

Roughly about 1,407.

Step-by-step explanation:

Simply multiply 24 times 58 2/3

The 58 2/3 times 24 will be equal to the 1408 hours thus the length of the day on Mercury will be 1408 hours.

What is multiplication?

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than 1.

As per the given,

The length of a day on Mercury is 58 2/3 times the length of a day on earth.

58 2/3 = 58 + 2/3 = 176/3

176/3 times 24 will be,

176/3 × 24 = 1408 hours.

Hence "The 58 2/3 times 24 will be equal to the 1408 hours thus the length of the day on Mercury will be 1408 hours".

For more information about multiplication,

brainly.com/question/14059007

#SPJ2

Help me out please
I need it done by Monday

Answers

Answer:

1 C

2 D

3 C

4 B

5 A

6 C

Step-by-step explanation:

Answer: 1 C

2 D

3 C

4 B

5 A

6 C

Step-by-step explanation:

round 163,688 to the nearest hundred thousand

Answers

Answer:

200,000

Step-by-step explanation:

I hope this helped!

200,000 is the answer

Evaluate the expression when y=2
y² – 5y—6

Answers

4-10y-6

(-10y-2)

thsi the answer ur looking for?

-6y - 3 = 3 - 6y. Pls solve

Answers

No solution. My work is in the picture to help you understand if you want.

From my sis: Round each mixed number to the nearest whole number then estimate the difference.
8 9/11-8 3/8
A: 10
B: 9
C: 11
D: 8

Answers

Answer:

Step-by-step explanation: a

PLEASE HELP! GIVING BRAINLIEST!
You have a piece of canvas that you want to paint. You have enough paint to cover
252 square inches. You know you want one side to be 14 inches. How long should
the other side be if you want to use up all the paint?
show your work

Answers

Answer:

h = 18 in.

Step-by-step explanation:

Area of a rectangular canvas = base x height (A = b*h)

where A = 252 in²

          b = 14 in

find:  height (h)

solution:

just plugin the values into the formula:

252 = 14 * h

h = 252 / 14

h = 18 in

Find the midpoint M of the line segment joining the points R = (-3,-7) and S = (1, -1).​

Answers

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{( - 1 \: , - 4)}}}}[/tex]

Step-by-step explanation:

Let the point R ( - 3 , - 7 ) be ( x1 , y1 ) and S ( 1 , -1 ) be ( x2 , y2 ).

[tex] \text{Finding \: the \: midpoint} : [/tex]

[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2 } \: , \frac{y1 + y2}{2} )}}[/tex]

[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \:, \frac{ - 7 + ( - 1)}{2} })[/tex]

[tex] \text{Remember} : [/tex]

( + ) * ( - ) = ( - )( - ) * ( + ) = ( - )( + ) * ( + ) = ( + )( - ) * ( - ) = ( + )

[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \: , \frac{ - 7 - 1}{2} )}[/tex]

[tex] \text{Remember} : [/tex]

The positive integers are always added and posses the positive ( + ) sign.The negative numbers are always added but posses the negative sign ( - ).The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \sf{➳midpoint = ( \frac{ - 2}{2} \: , \frac{ - 8}{2} )}[/tex]

[tex] \sf{➳midpoint = ( - 1 \:, - 4})[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

[tex] \text{TheAnimeGirl}[/tex]

What is the volume?

7 cm
5 cm
8 cm

cubic centimeters

Answers

Answer:

280 cm

or 280cm^2

Step-by-step explanation:

Answer: 280 cm^3

Step-by-step explanation: Multiply 7 x 5 x 8 = 280

URGENT SOLVE
13 - 2n = 19

Answers

Answer:

n=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

13−2n=19

13+−2n=19

−2n+13=19

Step 2: Subtract 13 from both sides.

−2n+13−13=19−13

−2n=6

Step 3: Divide both sides by -2.

−2n/−2=6/−2

[tex]13 - 2n = 19[/tex]

Subtract sides -13

[tex]13 - 13 - 2n = 19 - 13[/tex]

[tex] - 2n = 6[/tex]

Divided sides by -2

[tex] \frac{ - 2}{ - 2}n = \frac{ 6}{ - 2} \\ [/tex]

[tex]n = - 3[/tex]

Done....♥️♥️♥️♥️♥️

Oliver is playing a game with his friends. Each player gets
7 pieces. In all, there are 70 pieces on the game board.
Which number sentence can be used to find the number
of people playing the game?

Help please

Answers

C because if if there are 70 pieces already in they gave him seven pieces that would mean they are taking out of the 70 pieces that are all in total to give to him seven pieces so it would be C

Answer: 70/7

Step-by-step explanation: If each player gets 7 pieces, and there are 70 pieces in total, you would divide the amount of pieces each player gets from the actual pieces.

At her birthday​ party, Ms. Willow would not give her age directly. She​ said, 'If you add the year of my birth to this​ year, subtract the year of my 80th birthday and the year of my 30th ​birthday, and then add my present​ age, the result is ​42.'

Answers

Ms. Willow's birth year = x

This year = 2020

80th birth year = x + 80

30th birth year = x + 30

Present age = 2020 - x

(x + 2020) - (x + 80 + x + 30) + (2020 - x) = 42

Simplify the right side.

-2x + 3930 = 42

Subtract 3930 from both sides.

-2x = -3888

Divide both sides by -2

x = 1944

1944 is Ms. Willow's birthday year.

As stated previously, her present age is 2020 - x, which equals 78

Ms. Willow is 78 years old

Here we want to interpret a word problem and transform it into an equation that we can solve.

We will find that her current age is 76.

First, let's define variables:

Her birth year = x

This year = 2021  (naturally this depends on the year we are on)

80th birth year = x + 80

30th birth year = x + 30

Then the actual age is the difference between the current year and the year when she was born:

Age = 2021 - x

What she says is:

"If you add the year of my birth to this​ year, subtract the year of my 80th birthday and the year of my 30th ​birthday, and then add my present​ age, the result is ​42."

(x + 2021) - (x + 80 + x + 30) + (2021 - x) = 42

Now we can solve this for x:

x + 2021 - x - 80 - x - 30 + 2021 - x  = 42

(x - x - x - x) + 2021 - 80 - 30 + 2021 = 42

-2*x + 3932 = 42

3932 - 42 = 2*x

3890 = 2*x

3890/2 = x = 1945

The current age is:

age = 2021 - x = 2021 - 1945 = 76

Her current age is 76.

If you want to learn more, you can read:

https://brainly.com/question/24595783

Paired t-test Application (Part 1)An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons. A data file containing these measurements is Fin_PTA.csvPreview the document. Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees. What does your analysis indicate

Answers

Complete Question

The complete question is shown on the first and second  uploaded image

Answer:

Part 1

 The correct option is  B

Part 11

   The correct option is  H

Step-by-step explanation:

From the question we are told that

     The sample size is  n  =  15

Generally the sample mean for the input temperature is mathematically represented as

        [tex]\= x _1 =  \frac{\sum x_i}{n}[/tex]

        [tex]\= x _1 =  \frac{57.6 + 68.9 \cdots +60.4 }{15}[/tex]

      [tex]\= x _1 =  62.57 [/tex]

Generally the sample mean for the output temperature is mathematically represented as

        [tex]\= x _2 =  \frac{\sum x_i}{n}[/tex]

        [tex]\= x _2 =  \frac{65.1 + 74.4 \cdots +67.3 }{15}[/tex]

      [tex]\= x _2 =  55.97 [/tex]

Generally the difference between the mean of the input temperature and that of the output temperature is

      [tex]d =  \= x_1 - \= x_2[/tex]

=>    [tex]d =  62.57 - 55.97 [/tex]

=>    [tex]d = 6.6[/tex]

Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as

     [tex]s_d  = \sqrt {\frac{1}{n-1 }  \sum [d_i - d]^2}[/tex]

=>   [tex]s_d = \sqrt{\frac{[(57.6 - 65.1) - 6.6]^2+[(68.9 - 74.4) - 6.6]^2+ \cdots +[(68.1 - 74.7) - 6.6]^2  }{15-1} }[/tex]

=>   [tex]s_d = 1.732 [/tex]

The null hypothesis is  [tex]H_o  :  \mu_1 -\mu_2 =  6[/tex]

The alternative hypothesis is  [tex]H_a :  \mu _1 - \mu_2\ne 6[/tex]

Generally the test statistics is mathematically represented as

           [tex]t  =  \frac{d - 6}{ \frac{s_d}{ \sqrt{n} } }[/tex]

          [tex]t  =  \frac{6.6- 6}{ \frac{1.732}{ \sqrt{15} } }[/tex]

          [tex]t  =  1.342[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  2 *  P(t > 1.342)[/tex]

From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of  df = n-1 =  15-1 = 14

       [tex]P(t >  1.342) =  t_{1.342 , 14} =  0.100478[/tex]

So    

     [tex]p-value  =  2 *   0.100478)[/tex]

     [tex]p-value  =  0.201[/tex]

From the values obtained we see that the [tex]p-value >  \alpha[/tex] hence the decision rule is  fail to reject the null hypothesis

The  conclusion is  

The cooling system changes the temperature of the water by 6 degrees.  

Plato please help me

Answers

the answer is (( D ))

Arrange the fraction in asending and desending order 4/5 , 2/15 , 2/30​

Answers

Answer:

See below

Step-by-step explanation:

Given fractions

4/5, 2/15, 2/30

To arrange the fractions we need to bring them to common denominator

LCM(5,15,30) = 304/5 = 24/302/15 = 4/302/30

In ascending order

2/30, 4/30, 24/30

Reverse order

24/30, 4/30, 2/30

Please help me, thank you

Answers

Problem 1

Answer: C) No solution

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

Explanation:

We have z = -4 and 4z = -4 at the same time. Solving 4z = -4 leads to z = -1

So in effect we have z = -4 and z = -1 at the same time, but this is a contradiction. A variable can only hold one number at a time.

======================================================

Problem 2

Answer: C) Infinitely many solutions

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

Explanation:

The two equations are equivalent. You can prove as such by isolating 2y in the first equation.

5x = 8-2y

5x+2y = 8

2y = 8-5x

2y = -5x+8

-5x+8 = 2y

This shows the first equation is equivalent to the second, and vice versa. They both graph the same line. Any point along the line is a solution. So that's why there are infinitely many of them.

======================================================

Problem 3

Answer: Choice A) [tex]-6 < y \le 3[/tex]

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

Explanation:

The range is the set of the possible y values. We're concerned with every y coordinate of each (x,y) solution. So we only focus on the shaded region.

The dashed line means we exclude the boundary. It's an electric fence we cannot touch. So y > -6 or -6 < y describes part of the range

The other part is [tex]y \le 3[/tex] since y = 3 is the when the highest point occurs.

So writing [tex]-6 < y \le 3[/tex] describes all possible y values of each (x,y) solution in the shaded region.

What is the mixed number in decimal form? 4 23/100 *
Ughhh

Answers

Answer:

4.23

Step-by-step explanation:

First, you need to write this mixed number into an improper fraction, which would be 423/100. Then all you need to do is divide 423 by 100 to get 4.23.

Find 5 solutions to the question.

Y=-1.5x+2

Answers

Answer:

< HOPE IT WILL HELP YOU>

Step-by-step explanation:

Y=1.5x+2

(x=1)

y=1.5 (1) +2

y=1.5+2

y=3.5

(x=2)

y=1.5(2)+2

y=3+2

y=5

(x=3)

y=1.5 (3)+2

y=4.5+2

y=6.5

(x=4)

y=1.5 (4)+2

y=6+2

y=8

(x=5)

y=1.5 (5)+2

y=7.5+2

y=9.5

please mark my ans as BRAIN LIST

c/3 = 30/5 apply the order of operations and show work

Answers

Answer:

c = 18

Step-by-step explanation:

Given

[tex]\frac{c}{3}[/tex] = [tex]\frac{30}{5}[/tex] = 6

Multiply both sides by 3

c = 3 × 6 = 18

Which inequality represents the values of x that ensure triangle ABC exists?

A.
0.5 < x < 7.5
B.
3.0 < x < 7.5
C.
-0.5 < x < 7.5
D.
-3.0 < x < 7.5

Answers

It's A 0.5 &it; x &it; 7.5

Answer:

A. 0.5 < x < 7.5

Step-by-step explanation:

*BRAINLIEST* What values are equal to the inequality?​

Answers

Answer:

A.-9

C.5

D.7

Explanation:

Take every number and put it in the spot of x  and multiply every number by themselves  like 9x9 or  5x5. Then see if it is equal too or less than 81. If it is equal too or less than 81 then it is correct.

Could I please have BRAINLIEST?

which of the following expressions is equal to 2x2 + 18

Answers

Answer:

22

Step-by-step explanation:

U should first multiply, then add, i.e.

4+18

=22

8.
Fred's dog has been putting on weight and the veterinarian is concerned. At the dog's most recent veterinarian appointment in September the dog weighed 45 pounds. This was a 25% increase since the dog's last veterinarian appointment that was in March. How much did Fred's dog weigh at the veterinarian appointment in March?

Answers

Answer:

Fred's dog weighed 33.75 pounds at the appointment in March

Step-by-step explanation:

First you need to convert 25% to a decimal by moving the percent sign twice to the left and you will get 0.25.

Then you multiply 45 by 0.25 to find 25% of 45.

45 x 0.25= 11.25

After multiplying, you just have to subtract the product (11.25) by 45.

45 - 11.25 = 33.75

This is the same was doing 45-25%

What is the answer to thissss???

Answers

(6^10)/(7^6) is the answer. You just need to multiply each of the exponents in the parentheses by two.

Step-by-step explanation:

This is the furthest I could get.

If you want to write it as a result with no powers, let me know and I will write it.

if 57.75 is after a 30% taken off then what was the original price

Answers

Answer: 40.425

Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA POINTS** !! DONT SKIP :((

Answers

fraction: 9/10
decimal: 0.9
percent: 90%

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Jina bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $400 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 8% per year. The total finance charges for one year were $275. How much did each computer cost before finance charges?

Answers

Answer:

2100

Step-by-step explanation:

The laptop costs $300 less than the desktop, so...

let x = cost of laptop

then x+300 = cost of desktop

The total finance charge of $252 is from 7% of the cost of the laptop and 6% of the cost of the desktop:

252+=+.07%28x%29+%2B+.06%28x%2B300%29

252+=+.07x+%2B+.06x+%2B+18

234+=+.13x

1800+=+x

The cost of the laptop is x = $1800;

the cost of the desktop is x+300 = $2100

Square root 3 to the power of 4 -6 to the power of 2

Answers

Answer:

-27

Step-by-step explanation:

[tex]( \sqrt{3} )^{4} - {6}^{2} \\ \\ = {3}^{2} - {6}^{2} \\ \\ = (3 + 6)(3 - 6) \\ \\ = 9( - 3) \\ \\ = - 27[/tex]

solve the equation
5x+4y=58xy.........
3x+7y=67xy.........

Answers

Answer:

x = 6, Y =7

Step-by-step explanation:

if you need explanation please ask in the comments .....I will edit the answer

Bridgett makes and sells children’s hair bows.

Bridgett’s expenses were $14.74 for supplies.
Bridget sold 12 bows for $4 each.

What was Bridgett’s profit?

Answers

Answer: $33.26

Step-by-step explanation:

12 x 4= 48 (amount of money made from sales)

48 - $14.74 = $33.26

So she made $33.26 in profits

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