Bob, Sue, Larry, Sally and Fred are waiting in lime to buy concert tickets.
(1) In how many different ways can they stand in line?

(2) How many ways can they line up if Larry insists on being in the middle?

Answers

Answer 1

Answer:

1) 120

2) 24

Step-by-step explanation:

This is a problem involving permutations: the number of different ways you can arrange stuff

If there are n items, n! represents the permutation of n and is given by the formula : 1 x 2 x 3 x........x (n-1) x n also sometimes written in the form
n x (n-1) x (n-2) x........x 3 x 2 x 1

In this case there are 5 people. So the number of different ways they can stand in line is 5! = 5 x 4 x 3 x 2 x 1 = 120 ways  Answer to (1)

Answer to (2)
If Larry insists on being in the middle the other 4 have to arrange themselves around Larry in 4! ways = 4 x 3 x 2 x 1 = 24 ways


Related Questions

Please solve all or even most of these (simplify using order of operation)!

Answers

Answer:

Step-by-step explanation:

1=27

2=26

3=-14

4=10

5=10

6=24

7=15

8=17

Sorry I don't have time to answer any more. Hope this helps!

Whoever helps gets BRAINLIEST

Answers

275 is the answer your welcome good luck

The answer D. 275

Hope this helps :)

help please, I would really appreciate it so very much​

Answers

Answer:

choice 3

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

In the first equation, there is a negative slope (-[tex]\frac{1}{2}[/tex]) so the line should be going downwards and pass by the y-intercept which is 3.

In the second equation, there is a positive slope ([tex]\frac{1}{2}[/tex]) so the line should be going upwards and pass by the y-intercept which is (-1).

The box plot below represents the number of hours Judy takes to complete a quilt.
++
22
24
26
28
34
36
38
40
30
32
Hours per Quilt
Which data set could be represented by this box plot?
O A. 39.32, 29, 22, 33, 29, 25, 37, 34
ОВ.
22, 27, 38, 34, 24, 32, 33, 30, 39
OC. 32, 36, 27, 30, 22, 35, 39, 28, 34
w
OD. 25, 36, 30, 32, 34, 39, 22, 29, 36

Answers

B. I think it’s b but I’m not sure

Mrs. Haley had 5/7 of a liter of salt water. She used 1/2 of a liter for an experiment. How much salt water does Mrs. Haley have left?

Mrs. Haley had
liters of salt water left

PLEASE HELP SOON!! :))

Answers

Answer:

Mrs. Haley had  [tex]\mathbf{\frac{3}{14}}[/tex] liters of salt water left.

Step-by-step explanation:

Mrs Haley has salt = [tex]\frac{5}{7}\:liter[/tex]

Mrs Haley used salt = [tex]\frac{1}{2}\:liter[/tex]

We need to find how much salt is left?

[tex]Salt\: left = Total\: Salt - Salt\: used\\Salt\: left = \frac{5}{7}-\frac{1}{2}\\Salt\: left =\frac{5*2-1*7}{14} \\Salt\: left =\frac{10-7}{14} \\Salt\: left =\frac{3}{14}[/tex]

So, Mrs. Haley had  [tex]\mathbf{\frac{3}{14}}[/tex] liters of salt water left.

3x-7=3(x-3)+2 plz help

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

3x-7=3(x-3)+2

3x-7=3x-7

subtract 7 from both sides

3x=3x

subtract 3x from both sides

0=0

All real numbers are solutions.

4. Tell if the measures 6, 14, and 13 can be side lengths of a triangle. If so, classify the triangle as acute,
right, or obtuse.
a. Yes; acute triangle
c. Yes; right triangle
b. Yes; obtuse triangle

Answers

Yes it can be a Acute

Answer:

A. Yes; acute triangle

Step-by-step explanation:

a=6

b=14

c=13

Using Pythagorean theorem-

c^2 = a^2 + b^2

13^2 = 6^2 + 14^2

169 = 36 + 196

169 = 232

169 < 232

Therefore, (a) the triangle is acute.

If 169 =169 there would be a right triangle.

If c were greater than a + b there would be an obtuse triangle.

whats 4 time 100 yeah im not

Answers

100+100+100+100=400

The answer is 400.

Answer:

400

100+100+100+100

Step-by-step explanation:

PLEASE HELP ILL GIVE YOU BRAINLIST PLEASE !!!!

Answers

Answer: 55°

Step by step:

80 + x = 180

x = 100

Because the bottom of the figure is a line which equals 180°, so you would subtract 80 from 180 to get the angle on the other side of the line dividing the triangles.


Then, you would use the triangle sum theory which states that the angles of a triangle equals to 180.

100 + 25 + x = 180

125 + x = 180

x = 55°

So angle CBD = 55°

how do i give brainliest? also please solve the problem :)

Answers

Answer:

When there are 2 answers there will be a crown you can click and that will give brainlest

Step-by-step explanation:

=  

a + b + c

2

=  

8 + 10 + 5

2

=  11.5 inches

Area =  √s(s-a)(s-b)(s-c)

=  √11.5×(11.5 - 8)×(11.5 - 10)×(11.5 - 5)

=  19.810035335658 inches

Answer:

the answer is 19.81 inches

Rebecca is baking three cakes for a big party. If the recipe for one cake calls for 123 cups of flour, how many cups of flour does she need for three cakes?

Answers

The total number of cups of flour that Rebecca will need to bake three cakes is 369 cups of flour.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the recipe for one cake calls for 123 cups of flour. Also, Rebecca needs to bake three cakes, therefore, the total number of cups of flour that Rebecca will need is,

Total number of cups of flour = Number of cakes ×  Number of cups of flour in a cake

                                                 = 3 cakes × 123 cups of flour per cake

                                                 = 369 cups of flour

Hence, the total number of cups of flour that Rebecca will need to bake three cakes is 369 cups of flour.

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Consider function h.
h(x) = 2x-6/x+3
Which statements are true or false about the graph of function h?
The graph crosses the y-axis at (0,3).
The graph crosses the x-axis at (-2,0)
The graph has a vertical asymptote at r = -3.
The graph has a hole at (3,0).
The graph has a horizontal asymptote at y = 2
The domain of the function does not include the values x= -3 and x= 3.

Answers

Answer:look at image

Step-by-step explanation:

The domain of the function does not include the values x = -3 and x = 3 is the only correct option.

What is a function ?

"Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences."

This relationship is commonly symbolized as y = f(x)—which is said “f of x”—and y and x are related such that for every x, there is a unique value of y. That is, f(x) can not have more than one value for the same x. To use the language of set theory, a function relates an element x to an element f(x) in another set. The set of values of x is called the domain of the function, and the set of values of f(x) generated by the values in the domain is called the range of the function."

In the graph plotted,

The graph has no y intercept.

Vertical asymptotes is x = 0

No horizontal asymptotes

Slant asymptotes is y = 2x + 3

Hence, F is the True and A, B, C, D, E are false.

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please help me write in exponential notation ASAP

Answers

Answer:

The answer is 3⁴ or 81 :)

a cell phone company charges an initial price of $500 for a new phone and then $60 each month after the purchase. if c (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function? r: (0, 500) r: (60, 560) r: ℝ r: (–[infinity], [infinity])

Answers

The range of C(t), the function of the average monthly cost of owning the cell phone, is (60, 560].

The range of a function is the set of all y-values obtained after substituting all possible x-values.

Steps to find the range of a function:

Find the possible domain of the function.
For example, Given f(x) = √ (4–x²) ,then, the function is only defined for x² ≦ 4 or –2 ≦ x ≦ 2, or [–2, 2].
Sometimes, the domain is given.Evaluate some values of x into the function to give insight the function's behaviors.Find the minimum and maximum values of f(x).Sketch its graphic, if necessary.

For the given problem:

The price of the device = $500

Monthly plan = $60

C(t) is defined as the average monthly cost of owning the phone.

Let t = number of months of owning the cell phone.

Then, total cost after t month = 500 + 60 t.

Hence, the average is:

C(t) = (500 + 60t)/t

C(t) =  500/t + 60

For t = 1, C(1) = 500 + 60 = 560

For t > 1, C(t) < 560

Therefore the maximum value of C(t) = 560

For t →∞  then 500/t will approach zero, hence:

C(t) →(0 + 60), or C(t) will approach 60.

Therefore, we can conclude that 60 < C(t) ≦ 560, or the range of C(t) is (60, 560].

Learn more about the range of a function here:

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find the unknown marked angles​

Answers

30° I think.........

Work out the perimeter of this semicircle.

Answers

The perimeter of the semicircle would be 25.7 cm

Answer:

perimeter of a semicircle = πr

3.142 * 10

= 31.42

hope it helps you

O
Sep 15, 12:33:42 PM
Watch help video
Tyler just lit a new candle and then let it burn all the way down to nothing. The initial
length of the candle was 15 inches and the candle burned at a rate of 1.25 inches per
hour. Write an equation for L, in terms of t, representing the length of the candle
remaining unburned, in inches, t hours after the candle was lit.
Answer: L=

Answers

 1.25 in/hr is  an equation for L, in terms of t, representing the length of the candle remaining unburned, in inches, t hours after the candle was lit.

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

L(t) is a function of time, t:  L(t) = 15 in - (1.25 in/hr)t

Note that when the candle has burned down to nothing, L(t) = 0.  How long does that take?  Set 15 in - (1.25 in/hr)t equal to zero and solve for t:

(1.25 in/hr)t = 15 in, or

        15 in

t = ---------------- = 12 hrs

  L =   1.25 in/hr

Learn more about linear equation

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convert the decimal number to the base stated

113 to base 6

Answers

Answer:

the answer is 341(I think)

113 = 3 • 36 + 5

(That is, 36 = 6² is the largest power of 6 that fits into 113. The next power 6³ = 216 exceeds 113.) Then

113₁₀ = 3 • 6² + 5 • 6⁰ = 305₆

Find the sum of first 15 terms of an AP whose 4th and 9th t terms are -15 and -30 respectively.

Answers

Answer:

Sum of the first 15 terms = -405

Step-by-step explanation:

a + 3d = -15 (1)

a + 8d = -30 (2)

Where,

a = first term

d = common difference

n = number of terms

Subtract (1) from (1)

8d - 3d = -30 - (-15)

5d = -30 + 15

5d = -15

d = -15/5

= -3

d = -3

Substitute d = -3 into (1)

a + 3d = -15

a + 3(-3) = -15

a - 9 = -15

a = -15 + 9

a = -6

Sum of the first 15 terms

S = n/2[2a + (n − 1) × d]

= 15/2 {2×-6 + (15-1)-3}

= 7.5{-12 + (14)-3}

= 7.5{ -12 - 42}

= 7.5{-54}

= -405

Sum of the first 15 terms = -405

Help me out please asp

Answers

plug in the answers to see which has an equal scale factor between mp and mt, and po and tr

if tr = 6, then the scale factor between po and tr is 1.5

that means, that in order to equal 9 mt would have to be 3

if mt = 3, then the scale factor between mp and mt would also be 1.5

therefore, since they both have an equal scale factor, the answer is

4) TR = 6

hope this helps!!

Answer:

Option 4: 6

Have a wonderful day

Please answer this soon bc my test is running out of time

Answers

Uhm I’m not 100% sure but I think the second one may be one of statements

can someone help me?

12 1/2 - (-4 1/2) =

Answers

Answer:

Find the answer is below.

Step-by-step explanation:

The answer is 33.

Hope this helps and if you could mark me as brainliest. Thanks!

(64-42
wich model showes

Answers

Answer:

3√64 is 4

The answer is in the bottom left under the biggest one

Step-by-step explanation:

To find the volume you need to multiply the height, width, and length which represents the 3 to square it to 4 means 4 unit length on each side to have a total of 64 volume.

Hope this helps!

The stingray population in a particular reef is decreasing at a rate of 1.4% per year. The population was 3800 in the year 2008. What is the best prediction of the population in the year 2013? Round to the nearest whole number. (no need to label your answer :

Answers

Answer:

Population in 2013 = 3541

Step-by-step explanation:

the jayden family eats at a restaurant and their meal costs them 78.65. They have to pay a 6% sales tax, and they also want to leave a 20% tip. What is the total price of their meal?

Answers

Answer:

total price should be 100.04

Step-by-step explanation:

good luck!!

find the equation of the line that passes through the point (-5, 12) with a slope of m=1/5

Answers

Answer:

y = 1/5x + 13

Step-by-step explanation:

y = mx + b

12 = 1/5(-5) + b

12 = -1 + b

13 =  b

y = 1/5x + 13

Hope this helped, let me know if you need a better explanation!

Solve -1.2x+2.5=0.8x+6.5
x=2
O
x=-4 0​

Answers

Answer:

x = - 2

Step-by-step explanation:

Given

- 1.2x + 2.5 = 0.8x + 6.5 ( subtract 0.8x from both sides )

- 2x + 2.5 = 6.5 ( subtract 2.5 from both sides )

- 2x = 4 ( divide both sides by - 2 )

x = - 2

riangle ABC is transformed using the rule (x, y) - (-x-3, y + 2). Which set of points describe triangle A'B'C'?
O A (1, 4), B'(-3,-1), C'(-1, -3)
O A (-7, 4), B' (-3,-1), C'(-5,3)
O A(-5, -2), B' (0, 2), C' (2,0)
O A' (4,4), B' (0-1), C' (2, -3)

Answers

The answer for this one would be A becuase

Answer:

b

Step-by-step explanation:

SOME HELP ME PLZZZ DUE TODAYYY!!!!!

Answers

Answer:

A

Step-by-step explanation:

Someone plz help me !!!

Answers

Answer:

not a sloution

Step-by-step explanation:

93÷6 is 15.5 not 15 w=15.5

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