In how many orders can six people line up from left to right for a group photo?

Answers

Answer 1

Answer:

720 possible orders

Step-by-step explanation:

To order 6 people in a line, let's imagine them as 6 possible spaces:

( )( )( )( )( )( )

Going from left to right, let's start with space 1.

There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.

(6)( )( )( )( )( )

Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:

(6)(5)( )( )( )( )

Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.

(6)(5)(4)(3)(2)(1)

This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.

Multiply them together and we have:

6x5x4x3x2x1 = 720 possible orders.

Hope this helped!

Answer 2

Answer:

We have to arrange 6 people in line

. Now, the number of ways to arrange n items = n!.

Hence, the answer is 6!=

=6×5×4×3×2×1= 720 orders


Related Questions

Can you solve the surface area and the volume for the triangular prism? i need it now please​

Answers

Surface Area = 96in³

To find the surface area of a triangular prism we can use the following equation

[tex]SA = Perimeter * Height[/tex]

The perimeter is the perimeter of one base, and the height is the length of the lines connecting both bases. Now that we know that we can input that into the equation

[tex]SA = (5 + 4 + 3)8\\SA = (12)8\\SA = 96\\[/tex]

On a bicycle ride,Betty rode 7 miles in 2 hours. At the same rate of speed,how far could she ride in 8 hours?Please hurry

A.14 miles

B.16 miles

C.20 miles

D.28 miles

E.56 miles

Answers

D 28 miles you want to multiply by 4 so 7x4 =28

Solve for x and y. show your work please

Answers

Answer:

I think it's c.

Step-by-step explanation:

hi help please! i’m struggling lol i already know the first part

Answers

Answer:

180 Degrees minus 117= sixty three

answer is x is 63

Where did I get the 180?

- straight Angles have 180

- 117 is a part of 180

-so that is why you had to subtract

I hope this Helps You!!

Which point lies on the y-axis

Answers

show a picture of it dawg

Select the correct answer from each drop-down menu.
The table shows the number of games a chess player won in professional competitions, based on the number of games played.

Games Played (x) 10 15 20 25 30
Games Won (y) 4 10 16 21 25
The line of best fit for the situation is
___.

If the chess player plays 40 games in the next competition, the expected number of games won would be approximately __.
???

Answers

Answer:

36 games won ...............

Answer:

y=1.06x-6

36

Step-by-step explanation:

What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х

Answers

Answer:

36

Step-by-step explanation:

x^2 + 12 x  = 40

To complete the square, take the coefficient of the x term

12

Divide by 2

12/2 = 6

Square it

6^2 = 36

Add 36 to each side

Find the area. Round to the nearest tenth.

Answers

Answer:

YOU DONT KNOW HOW TO ROUND SMH

Step-by-step explanation:

LEARN KID LEARN CMON ITS EASY

Can someone turn this into y=ax+b form with your work?

Answers

Step-by-step explanation:

given

2x + y = 13

turning to y = ax + b we get

y = - 2x + 13

hope it helps :)❤

A right triangle is a triangle with two angles. True or false?

Answers

Answer:

The answer is false.

Step-by-step explanation:

A triangle would also be opposite to a angle of property.

False- A right triangle is a triangle with right degree angles of

Find the center and radius of the circle:
x2 + y2 + 14x – 2y + 25 = 0

Answers

Center =(-7, 1)
Radius = 5

Problem A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 444 apples and 444 oranges. They also need \$12$12dollar sign, 12 for 666 apples and 666 oranges. We put this information into a system of linear equations.

Answers

Answer:

4a + 4b = 10

6a + 6b = 12

Step-by-step explanation:

Putting the equation in a system of linear equation :

We donate, apples and oranges using any preffered letter or alphabet

Let :

Apples = a ; oranges = b

4 apples and 4 oranges equals $10

4a + 4b = 10

6 Apples and 6 oranges equals $12

6a + 6b = 12

Hence, the system of linear equation :

4a + 4b = 10

6a + 6b = 12

Answer:

No Solution

Step-by-step explanation:

It would require different amounts of dollars to fulfill eah equation.

If a point at random, what is the probability that it will be in the shaded section. Give your answer as a fraction or a percentage to the hundredths

Answers

The diagram isn't attached. However, a rated diagram has been found and attached below.

Answer:

0.8611

Step-by-step explanation:

The probability of an event involves taking the ratio of the required measurement and the entire measurement.

Based on information on the attached circle, the shaded region of the circle takes 310° of the entire 360°

Choosing a point at random from which nside the circle ;

P(shaded portion) = shaded section / total measure of circle

P(shaded point) = 310 / 360 = 0.8611

Evaluate [12 -5 x 9] = 3​

Answers

Answer:

-33.

Step-by-step explanation:

[12 -5 x 9]

= 12 - 45

= -33.

Answer:

-36

Step-by-step explanation:

[12-45]=3

-33=3

-33-3=-36

i'll really appreciate some help! thank you! ln(4x-9)=-5​

Answers

Answer:

Step-by-step explanation:

The answer is x= 7/2

decimal form 3.5

Marilyn Manson anybody else a fan ?​

Answers

Answer:

wait who is that again?

Step-by-step explanation:

Answer:

 Yes, I am a fan.

Step-by-step explanation:

;)

Anyone please??? I need the help my teachers sent me this packet and I know nothing :////

Answers

Answer:

Step-by-step explanation:

Translation:

A: (1.2)

B: (2,2)

C: (2,4)

divide 2x³-3x²+5x-7 by x-2​

Answers

Answer: p(1/2)=11/2p(a)=a.

Step-by-step explanation:

Answer:

       2x3 - 5x2 + 2x - 7

 ——————————————————

       x - 2      

Step-by-step explanation:            2x3 - 5x2 + 2x - 7

Simplify   ——————————————————

                 x - 2      

Checking for a perfect cube :

3.1    2x3 - 5x2 + 2x - 7  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  2x3 - 5x2 + 2x - 7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  2x - 7

Group 2:  2x3 - 5x2

Pull out from each group separately :

Group 1:   (2x - 7) • (1)

Group 2:   (2x - 5) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(x) = 2x3 - 5x2 + 2x - 7

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  -7.

The factor(s) are:

of the Leading Coefficient :  1,2

of the Trailing Constant :  1 ,7

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -16.00    

     -1       2        -0.50        -9.50    

     -7       1        -7.00        -952.00    

     -7       2        -3.50        -161.00    

     1       1        1.00        -8.00    

     1       2        0.50        -7.00    

     7       1        7.00        448.00    

     7       2        3.50        24.50    

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

3.4    Polynomial Long Division

Dividing :  2x3 - 5x2 + 2x - 7

                             ("Dividend")

By         :    x - 2    ("Divisor")

dividend     2x3  -  5x2  +  2x  -  7

- divisor  * 2x2     2x3  -  4x2        

remainder      -  x2  +  2x  -  7

- divisor  * -x1      -  x2  +  2x    

remainder              -  7

- divisor  * 0x0                

remainder              -  7

Quotient :  2x2 - x

Remainder :  -7

so x=-7

please help me find the trend line for the scatterplot!

Answers

Answer:

wbv wncwic wndv envne jcsid ejshf vuia csiubc wcbu

The top of a pie container is a circle. The radius of the pie is 8 inches and the radius of the container is 9 inches. What is the difference between the circumference of the container and the circumference of the pie in inches to the nearest tenth?
A : 3.1 inches
B 6.3 inches
C: 12.6 inches
D 25.1 inches
E 50.2 inches

Answers

Answer:

B. 6.3 inches.

Step-by-step explanation:

I'll use 2πr for both sides of this.

Pie:

2 * 3.14 * 8

16 * 3.14

50.24 inches for the pie

Container:

2 * 3.14 * 9

18 * 3.14

56.52 inches for the container

Difference:

56.52 - 50.24

6.28-inch difference, which rounds to 6.3 inches. B is our answer.

Can you please help!!

Answers

I can confirm the answer is B but another person already answered it so I might not take all the credit

A rescue team 1000 ft. away from the base of a vertical cliff measures the angle of elevation to the top of the cliff to be 70. A climber is stranded on a ledge. The angle of elevation from the rescue team to the ledge is 55. How far is the stranded climber from the top of the cliff?

Answers

The stranded climber is 14 ft from the top of the cliff. You are going to subtract the top of the cliff from the ledge and 14 is your answer.

answer for brainilest and 30 points.

Answers

Answer:

Top Right

Step-by-step explanation:

231/pi(3)^2 =8.17

Round down to 8

Answer:

The height is 8 inches

Step-by-step explanation:

Well to find the volume of a cylinde like this, he formula is Base * height.

To find the base we need to find the area of the circle.

a=πr^2

The radius is 3 inches, 3^2=9

Since π is suppose to be 3.14 multiply

9*3.14= 28.26

We know that the cylinder can hold 231 cubic inches. So technically it can fill (x) 28.26 inches.

solve the equation

28.26x=231

Divide

231/28.26

The answer would be about 8 inches

20% of ______ is 120​

Answers

Answer:600

Step-by-step explanation:

Answer:

20

___ x X = 120

100

x100       x 100

20x = 120

divide by 20 on both sides.

x = 6

Solve for x.
2x2 + x = 10

Answers

Answer:

x = 2, x = -5/2

Step-by-step explanation:

2x² + x - 10 = 0

(2x + 5)(x - 2) = 0

2x + 5 = 0

2x = -5

x = -5/2

x - 2 = 0

x = 2

HELP ME PLSSSS!!!!!
If the diameter of the circle above is 16 mm, what is the area of the circle?
A.
16 mm2
B.
64 mm2
C.
8 mm2
D.
256 mm2

Answers

Answer:

64[tex]\pi[/tex] mm² or approximately 201.06 mm²

Step-by-step explanation:

If the diameter is 16 mm, the radius will be 8 mm.

Use the circle area formula, A = [tex]\pi[/tex]r², where r is the radius. Plug in 8 as r:

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](8²)

A = 64[tex]\pi[/tex]

So, the area of the circle is 64[tex]\pi[/tex] mm² or approximately 201.06 mm²

Question:-

If the diameter of the circle above is 16 mm, what is the area of the circle ?

Solution:-

Diameter of the circle = 16 mm. (Given)

Radius (r) of the circle = 16/2 = 8 mm.

[tex] \bigstar [/tex] To Find the area of the circle.

Since we know,

[tex] \dag [/tex] Area of circle is πr².

So, Area of the circle = 3.14 × (8)²

Area of the circle = 3.14 × 8 × 8

Area of the circle = 200.96 = 201 mm².

The area of the circle is 201 mm². [Answer]

Answers?????????????

Answers

Answer:

a)

-7-128

Step-by-step explanation:

b) plot your graph using the table of value

c) draw a line at 2.5 on the x-axis

Answer:

the picture above ⬆️ is for the gaps in the table of values y= -7,-4,-1,2,5,8

b: using a scale of 1cm to represent 1 unit on both axis

Step-by-step explanation:

on the graph using the table of values. ...plot a graph using.a scale that will be ok for the value for example 1cm to represent 1 unit or 2cm to represent 1 unit

50 points
Please help ///// brainiliest
A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?

A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2

Answers

Answer:

height [h]=6cm

Volume of cone =1/3 πr²h

128πcm³=1/3×π×r²×6

128×3/6=r²

r=√64

r=8cm

Now

slant height (l)=√{8²+6²}=10cm

again

.Total surface area :πrl+πr²=π×8(10+8)=144πcm²

its exact surface area is C. 144π cm²

[tex]\green{\boxed{-answer-}}[/tex]

Thats kinda hard but here maybe this one

C) 104π cm2

I dont really know well have a nice day man

Solve the system of equations x+2y=-16 and x+6y=-28 by combining the equations.

Answers

Answer:

x= -18 y=-5/3

Step-by-step explanation:

Answer:

x = -10

y = -3

Step-by-step explanation:

When combining the equations, we must ensure that one of the two variables will cancel out. The easiest way to do this will be to multiply one of the equations by -1, such that the x will cancel out once they are added together. This can be done with either equation, but I will do it for the first one.

This gives us the system:

[tex]\left \{ {{-x-2y=16} \atop {x+6y=-28}} \right.[/tex]

We can then add the two equations by combining each of the terms:

[tex](x - x) + (6y - 2y) = (-28 + 16)\\(0) + (4y) = (-12)\\4y = -12\\y = -3[/tex]

Now that we have the value for y, we substitute it back into any of the original equations and solve for x:

[tex]x + 2y = -16\\x + 2(-3) = -16\\x - 6 = -16\\x = -10[/tex]

To check our work, we substitute both x and y into the other original equation:

[tex]x + 6y = -28\\(-10) + 6(-3) = -28\\-10 - 18 = -28\\-28 = -28[/tex]

The third quartile value for the
data set shown in the box plot
below is:
65
70
75
80
85
90

Answers

Answer:

85

Step-by-step explanation:

The q1 is 7-, q2 is 77.5 and the third quartile range is 85

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