Ten people board an airplane that has 13 aisle seats. In how many ways can they be seated if they all select aisle seats?

Ten People Board An Airplane That Has 13 Aisle Seats. In How Many Ways Can They Be Seated If They All

Answers

Answer 1

Answer: [tex]1716\ \text{ways}[/tex]

Step-by-step explanation:

Given

10 people board an airplane that has 13 aisle seats

No of ways of arranging r things out of n things is given by [tex]^nP_r[/tex]

Put the value of n and r as 13 and 10.

[tex]\Rightarrow ^{13}P_{10}=\dfrac{13!}{(13-10)!}\\\\\Rightarrow ^{13}P_{10}=\dfrac{13\times 12\times 11\times 10!}{10!}\\\\\Rightarrow ^{13}P_{10}=1716\ \text{ways}[/tex]


Related Questions

Which one of these is not congruent to angle 5?

Answers

Answer:

Step-by-step explanation:

The answer is 1 and 3

Consider right triangle MNO below which expression represents the length of side MN


Answers

We can use a scientific calculator or look up the sine of 25 degrees in a table of trigonometric values. The answer would be approximately 2.13 cm.

What do you mean by Right Angle Triangle?

A right angle triangle is a triangle in which one of the angles is equal to 90 degrees. In other words, it is a triangle in which one angle is a "right angle." Right angle triangles are commonly used in geometry and trigonometry, and they play a crucial role in many real-world applications, such as surveying, construction, and navigation.

In a right triangle, the length of one side can be found using the sine function. The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. In this case, the angle MNO is 25 degrees, so we can write the following equation to find the length of side MN:

MN = NO * sin(25°) = 4 cm * sin(25°)

To find the numerical value of MN, we can use a scientific calculator or look up the sine of 25 degrees in a table of trigonometric values. The answer would be approximately 2.13 cm.

To know more about hypotenuse visit:

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Answer:C and D

Step-by-step explanation:

2
Steven has 2 different spinners. He spun each spinner several times and recorded the
results in the tables below.
Spinner 1
Outcome Frequency
Red
8
Orange
4.
Yellow
2
Green
6
Spinner 2
Outcome Frequency
Blue
2
Purple
2
Black
1
White
5
Based on these results, if Steven spins each spinner 60 times, which of the following is
the best prediction of his results?
F Spinner 1 would land on orange 6 more times than Spinner 2 would land on purple.
G Spinner 1 would land on orange 10 more times than Spinner 2 would land on purple.
H Spinner 1 would land on orange twice as many times as Spinner 2 would land on purple.
3 Spinner 1 would land on orange the same number of times that Spinner 2 would land
on purple

Answers

Answer:

ok so the answer would be h

Step-by-step explanation:

so basically the ratio is 4:2 -1:2 so purple is 2 and orange is 4. meaning purple is half of the orange. that ratio stays the same. if you were to multiply puplr by 60 you get 120. and if you multiply 4 by 60 you get 240. which 240 divided by 120 is 2 meaning h is the right answer choice.

The correct observation is Spinner 1 would land on orange the same number of times that Spinner 2 would land on purple.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Total times spined = 60

Spinner 1 land on orange out 60 times

= 4/20 x 60

= 1/5 x 60

= 12

Spinner 2 land on Purple out 60 times

= 2/10 x 60

= 1/5 x 60

= 12

Hence, Spinner 1 would land on orange the same number of times that Spinner 2 would land on purple.

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plz plz answer this 10pts:)

Answers

Answer:

8

Step-by-step explanation:

12-4=8

Answer:

12-4=8

8 more students

hope this helps

have a good day :)

Step-by-step explanation:

An 8-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side of the house when the angle of elevation of the ladder is 75 7 Round your answer to the nearest tenth.​

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the side "?" is the Adjacent side (Adj)  and we are given the angle and the Hypontenuse ( long side) (Hyp)  of this triangle

so use CAH

cos(75) =  Adj / 8

algebra to solve for the Adj side (which is the "?" for this problem )

8*cos(75) = Adj

2.07055 = Adj

so the "?" is  2.1 ft ( rounded to the nearest 10th )

what's the answer ?

[tex] \sqrt{25 \times 9} [/tex]

Answers

Answer:

[tex] \sqrt{25 \times 9} [/tex]

[tex] \sqrt{5² \times 3²} [/tex]

±(5*3)

±15 is a required answer.

Army needs to order a shade for a triangle-shaped window has a base of 6 feet and a height of 4 feet.what is the area of the shade

Answers

Answer:

The area of the shade is 12 feet

Step-by-step explanation:

To find the area you would do 6 * 4 which equals 24 but with every triangle you have to cut the area in half so the actual answer would be 12 feet

For a school fundraiser, Mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the bracelets. Mai must spend $250 on wire and $5.30 per bracelet for beads. Write an expression for this situation.

Answers

250+5.30x= y ( x is the number or bracelets she sells and y is the total cost)

Help me please and explain for me

Answers

Answer:

1.575 × 10^6 gallons

Step-by-step explanation:

1.25 × 10^6 = 1.25 × 1,000,000 = 1,250,000 gals.

Dolphin tank = 325,000 gals.

total vol. = 1,250,000 + 325,000 = 1,575,000 gals.

scientific notation = 1.575 × 10^6 gallons

Solve the proportion.

Answers

Answer:

y = 5

Step-by-step explanation:

cross-multiply:

6y = 30

y = 5

can you please solve this, the picture is in here

Answers

Answer:

no

Step-by-step explanation:

there are 60 inches in 5 feet.how many inches are in 8 ft?

Answers

Answer:

63in

Step-by-step explanation:

There are 96 inches in 8 feet

Please help me I’m stuck

Answers

Answer:

x = 3.2

Step-by-step explanation:

Apply pythagorean theorem, c² = a² + b²

Where,

c is the hypotenuse/longest side = √(10² - 9²) ≈ 4.4

a = x

b = 3

Substitute

4.4² = x² + 3²

19.36 = x² + 9

x² = 19.36 - 9

x² = 10.36

x = √10.36

x = 3.2 (nearest tenth)

Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up.
What is the likelihood that her friend Harry will draw an even numbered card?

Answers

The answer for this one will be D-
as likely as not

I don't understand this problem

Answers

Answer:

45%

Step-by-step explanation:

Step-by-step explanation:

It's asking you what the probablitiy of a red car is.

Since this looks like a test/homework, I'll give some hints.

Let's say that SUV's and car's are x.

Out of x, 60 percent is cars.

Let's call the amount of cars we have y.

Out of y amount car's, 15 percent is red.

It's asking that if you randomely chose a car, what the probability would be if you got a non-red car.

Of course, this problem only needs one variable, but for the sake of simplicity, I added 2.

Hope this helps!

Which of these symbols stands for less than or equal to?​

Answers

Answer:

the far left one

Step-by-step explanation:

How can you tell if these are greatest common factor or difference of squares questions?

Answers

Answer:

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)

Can anyone answer ASAP

Answers

The answer is 1,705 miles, and 31 MPG

All TVs are on sale at Target for 25% off.
The sales tax in Rochester is 7.875%
If Mrs. Winters wants to buy a TV that is regularly priced $800, what will her final cost be?

Answers

Answer:

$647.25

Step-by-step explanation:

Twenty-five percent off the regular $800 price comes to 0.75($800), or $600 (after the discount).

Calculating the 7.875% sales tax and adding it in, we find that the final price to be paid is (1 + .07875)($600), or $647.25.

I don’t know if you already did this but it’s 647.25 have a nice day

Determine which sides/angles need to be congruent in order to prove the triangles are congruent by the desired theorem

PLEASE GIVE THE ANSWER

Answers

the right side needs to be congruent

Mindy is the head cheerleader on her suad. She is making banners to place throughout the school for the first football game of the season. She used ⅔ cup of glitter to make 1 cup of glittery paint. Using this same proportion, how many cups of glitter will Mindy use to make 9 cups of glittery paint?

Answers

Answer:

[tex]6\:\text{cups}[/tex]

Step-by-step explanation:

Since the proportion is maintained, we can set up the following proportion:

[tex]\frac{2/3}{1}=\frac{x}{9}[/tex], where [tex]x[/tex] is the amount of glitter, in cups, Mindy will use to make 9 cups of glittery paint.

Cross-multiply to get:

[tex]1x=9\cdot \frac{2}{3},\\x=9\cdot \frac{2}{3}=\boxed{6\:\text{cups}}[/tex]

i need help with this

Answers

Sq:

6*6=36

RG:

13+4=17

17*5=85

4*4=16

36+16+85=137

A= 137 in^2

Solve In(5x + 3) = 2.5​

Answers

Answer:

[tex]x=\frac{e^{2.5}-3}{5}[/tex]

Step-by-step explanation:

Let y = 5x + 3
Then we get
㏑(y) = 2.5

Using exponentiation,

[tex]e^{lny} = e^{2.5}\\\textrm{But }e^{lny} \textrm{ is simply y (log rule)}\\\textrm{So we get}\\y = e^{2.5}\\\\\\\textrm{Substituting for y we get}\\\\5x + 3 = e^{2.5}\\x = (e^{2.5} - 3)/5\\[/tex]

This works out to x = 1.83649879

PLS HELP I BEG YOUU!!!

Answers

Answer:

Step-by-step explanation:

the balloon starts at  (10, 0 )

it ends at  16,0)

in the middle it's at between 10 and 16 , so say about 13, where it reaches 27

so in the middle it's (13,27)

so  ( 11, 9)

(12, 18)

got 13

(14, 18)

(15, 9)

got 16

:P

help:

Find LaTeX: (f-g)(x)(f−g)(x) if LaTeX: f(x) = \sqrt{4x}f(x)=4x and LaTeX: g(x) = \sqrt{16x}g(x)=16x.

Answers

Step-by-step explanation:

Simplify the matrix.

f

2

x

2

2

f

g

x

2

+

g

2

x

2

,

f

(

x

)

=

2

x

f

x

=

4

x

,

g

x

=

4

x

g

x

=

16

x

Kelly drove 385 miles to visit her friend. She drove at an average rate of 55 miles per hour.
How long did it take her to drive to her friend's house?
A: 5 hours
B: 7 hours
C: 9 hours
D: 11 hours

Answers

Answer:

B. 7 hours

Step-by-step explanation:

The formula for time (in this scenario) is t = d/s.

t - time

d - distance

s - speed

For this problem, d - 385 mi and s - 55 mph. To find the time this trip took, you would solve 385/55=7. In the end, Kelly drove for 7 hrs. Hope this helps!!

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Q3. The answer is C which is 2x^3y^2+4y^2 and the Q4. The answer is 8n^2. I hope it helped :)

The area of a rectangle is 50 units?.
The length is 2, and the width is a
What is the value of x?
What is the width of the rectangle?

Answers

Width is 25 units because 50/2 = 25

The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set?

Answers

Answer:

Each student will raise $60.32

Step-by-step explanation:

682.56-200.000 = 482.56

482.56/8 = $60.32

17, 24, 31, 38, ... common diffrence Arithmetic Sequences

Answers

Ans: 10+7n

Step-by-step explanation: there you go

Answer:

d=7; equation=17+(n-1)7

Step-by-step explanation:

I dont know what your question is but it goes up by 7

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