Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 12 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Charles, Margaret, and Sean are chosen?

Answers

Answer 1

Using the combination formula, it is found that the probability that you, Charles, Margaret, and Sean are chosen is:

[tex]p = \frac{1}{495}[/tex].

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 people will be chosen from a set of 12, hence the number of ways to choose them is:

[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

The desired combination is only one, hence the probability is:

[tex]p = \frac{1}{495}[/tex].

More can be learned about the combination formula at https://brainly.com/question/25821700

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Related Questions

square root of 1, 1/3, 2.5, square root of 2
Type the correct order of each item (eg. 1, 2, 3, etc):
2.5
square root of 1
square root of 2
1/3

Answers

Answer:

least to greatest: 1/3, sqrt 1, sqrt 2, 2.5

Step-by-step explanation:

sqrt 1 = 1

sqrt 2 = 1.41421356237 = 1.4

1/3 = 0.33

2.5 = 2.5

A pole is 35 3/4 feet long. If 3/8 of the pole is underground,
then how many feet of the pole are above ground?

Answers

Answer: 22.34375

Step-by-step explanation:

35 and 3/4 is equal to 35.75

Therefore,

35.75 x (3/8) is equal to 13.40625 underground.

So 35.75 - 13.40625 = 22.34375 feet above ground

Solve the following system of equations using substitution or elimination. 4x-2y+3z=1
x+3y-4z=-7
3x+y+2z=5
PLEASE HELP !!!

Answers

[1]   4x - 2y + 3z = 1

[2]   x + 3y - 4z = -7

[3]   3x + y + 2z = 5

Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :

-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1

-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1

[4]   -14y + 19z = 29

-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5

-3x - 9y + 12z + 3x + y + 2z = 21 + 5

-8y + 14z = 26

[5]   -4y + 7z = 13

Add 2 [4] to -7 [5] to eliminate y :

2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)

-28y + 38z + 28y - 49z = 58 - 91

-11z = -33

z = 3

Plug this into either [4] or [5] to solve for y :

-4y + 7 (3) = 13

-4y + 21 = 13

-4y = -8

y = 2

Plug both of these solutions into either of [1], [2], or [3] to solve for x :

x + 3 (2) - 4 (3) = -7

x + 6 - 12 = -7

x = -1

--what is the value of 1/2÷6=​

Answers

Answer:

0.833...

(3's are infinite)

       

Answer:

0.08333333333

.Step-by-step explanation:

0.5 divided by 6=0.08333333333

rounded: 0.083repeating

Find the value of x.

Answers

Answer:

x=16

Step-by-step explanation:

50+40=90

40-8=32

32/2=16

x=16

Answer:

x=16

Step-by-step explanation:

since it is a right triangle it is 90 degrees so 90-50-40

than do 40=8+2x and solve for x which is 16 :)

Solve the equation. If necessary, enter your answer as an reduced improper fraction.
h +9 = 16

Answers

Answer:

7

Step-by-step explanation:

It's seven because If you take 9 you just have to find the number that adds up to sixteen so in that case 6+9=16

Hey :)

h + 9 =16

Subtract 9 from both sides

h= 16−9

Subtract 9 from 16 to get 7

h=7

Hope this helps :)

PLEASE HELP!! Which equations represent a proportional relationship? If yes, give the constant of Proportionality.

Answers

Answer:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.

Step-by-step explanation:

NBA young boy to my lowest - you hurt me deep when I was down on my lowest I needed you ain’t gaf bout me growing

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

This is the answer due to the fact that a dice has 6 sides meaning there is a 1 in 6 chance of rolling the different numbers

Answer:

[tex]the \: proberbility \: is \: \frac{2}{6} = \frac{1}{3} [/tex]

translation is the point (2, −6). At what coordinates is the image of point (−3, −2) located under the same translation?

Answers

Answer:

hey

Step-by-step explanation:

HELP



The price of a necklace was increased by 10% to £121.
What was the price before the increase?

Answers

Answer:

108.90

Step-by-step explanation:

To find its price before the increase you say:

10% of 121 then the answer you subtract it from 121:

10 / 100 * 121 = 12.10

Then subtract 12.10 from 121

121-12.10= 108.90

So the price before the increase was 108.90

HOPE IT HELPED

Find the product. Tell which strategy you used.
1. 5 X 7 X 20
2.

Answers

Answer:

The product is 700

Step-by-step explanation:

I just multiplied them If it correct plz give me brainliest thanks :)

How do you do this question?

Answers

Answer:

(-11 + √165) / 22

Step-by-step explanation:

∑₂°° (1 + c)⁻ⁿ

= ∑₂°° (1 / (1 + c))ⁿ

= ∑₁°° (1 / (1 + c))ⁿ⁺¹

This is a geometric series with a₁ = 1/(1+c)² and r = 1/(1+c).

The sum of an infinite geometric series is:

S = a₁ / (1 − r)

Therefore:

11 = 1/(1+c)² / (1 − 1/(1+c))

11 = 1 / ((1+c)² − (1+c))

11 ((1+c)² − (1+c)) = 1

11 (1 + 2c + c² − 1 − c) = 1

11 (c + c²) = 1

11c² + 11c − 1 = 0

c = [ -11 ± √(11² − 4(11)(-1)) ] / 22

c = (-11 ± √165) / 22

c cannot be between -2 and 0, so c = (-11 + √165) / 22.

Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the theories, he finds that 75% of them are false. How many of the theories are true?

Answers

Answer:

4

Step-by-step explanation:

Find the inverse of this function
g(x)=2(x-3)^5

Answers

here you go, let me know if you have a question about the steps

4. I am a multiple of 3, 4, 5, and 6. I am a factor of 120. Divided by 7, l leave a remainder of 4. Who am I?

Answers

Answer:

60

Step-by-step explanation:

Taking the LCM of 3, 4, 5 and 6 leaves us with;

LCM = 1 * 2 * 3 * 2 * 5

       = 60

Since Dividing 60 by 7 leaves quotient 8 and remainder 4,

We know that we've found the number we're looking for.

456x5 is what I can’t figure this out please help!!

Answers

Answer: 2,280

456 times 5

Answer:

2280

Step-by-step explanation:

Multiply 5 times 2325 it ain't that hard g just use google lol

choose 1 item to purchase. what is the greatest number of that item you can buy with a $10 and still receive change? how much change will you receive?​

Answers

Answer:

Step-by-step explanation:

AYUDAAAAAAAAA PORFA NO LE ENTIENDO

Answers

a) 8
b) si, 1/8
c) verde
d) amarillo
e) amarillo 10, rojo 20, verde 30, azul 20
f) amarillo 100, rojo 200, verde 300, azul 200
g) amarillo 100/800, rojo 200/800, verde 300/800, azul 200/800

Me podrías marcar como mejor respuesta porfa

If I had 50 magmortars and I got one shiny magmortar, how much would i have now???

Answers

Answer:

51 Magmortars!!!

Step-by-step explanation:

Hope this helps!!!

Answer:

you have 51

Step-by-step explanation:

if you have 50 and you get 1 more then your adding so you would do this

50+1=51

Si tienes 5 manzanas para comer durante la semana y te comes el 20% el primer día cuántas manzanas quedan para el resto de la seman?

Answers

Answer: El o Ella tiene 4 manazanas izquierda comer para el semana

Step-by-step explanation: Si necesitas ayuda con algo más estoy disponible generalmente de 9 a.m. a 3:50 p.m.

The number of apples left to eat are equivalent to 4.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that you have 5 apples to eat during the week and you eat 20% on the first day.

Assume the number of apples left are {x}. So, we can write -

{x] = 5 - 20% of 5

{x} = 5 - (20/100) x 5

{x} = 5 - 1

{x} = 4

Therefore,

To solve more questions on percentage, visit the link below -

brainly.com/question/24159063

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{Question in english -

If you have 5 apples to eat during the week and you eat 20% on the first day, how many apples are left for the rest of the week?}

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

Red is sus

Step-by-step explanation:

Answer: naah i think brown is sus he faked electrical vote him out

Step-by-step explanation:

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α=α= .05.
Method 1 Method 2
Roller Coaster41434951
Type of RideScreaming Demon 52445046
Log Flume50464844
Method 1 Method 2
Roller Coaster
41
43
49
51
Type of Ride
Screaming Demon
52
44
50
46
​Log Flume
50
46
48
44

Answers

Answer:

hello your question has some missing part and the table as it relates better to the question

set up the ANOVA table ( to 1 decimal if necessary )

Step-by-step explanation:

attached below is the image of the Analysis of variance using Minitab software

Attached below as well is the Require Anova table

find the measure of angle b ​

Answers

It’s 90-37 degrees so the answer would be 53 degrees

long division help :)
I’m confused

Answers

Answer:

the answer is 27

i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0

this is my statement and i did this on paper and got this right!

Answer:

27

Step-by-step explanation:

See photo below

Tell whether -2 is a solution of the inequality n-5<8

Answers

Answer:

-2 is a solution

Step-by-step explanation:

-2-5<8

-7<8

Answer:

-2 is a solution.

Step-by-step explanation:

negative 2 minus 5 is less than 8

negative 7 is less than 8

Terry is an up and coming florist who specializes in weddings. He uses 5 roses, 3 daises, and 4 bundles of green filler to make one bouquet. If r is the cost of a rose and d is the cost of a daisy, and f is the cost of a bundle of green filler, which expression represents the cost for making 75 bouquets

Answers

Answer:

75 (5r + 3d + 4f)

Step-by-step explanation:

Cost of 5 roses: 5rCost of 3 daises: 3dCost of 4 green fillers: 4fAmount of bouquets: 75Put them together: 75 (5r + 3d + 4f)

I hope this helps!

answer: (75)5r+3d+4f

explanation:
5r is the cost of the roses
3d is the cost of the daisies
4f is the cost of the green filler
times all of those by 75, which is how many bouquets Terry is trying to make

hope this helps :)


When she first purchased it, Soledad's computer had 500 GB of hard drive space. After six months, there
were only 407 GB available. Enter and solve an equation to find the amount of hard drive space that
Soledad used in the first six months. Uses as your variable.
- 500
The equation is
She has used
GB of memory

Answers

Answer:

I think 500-407=93

it took jaivin 18 minutes to jog 4 laps . how many minutes did it to jog each lap at this rate?

Answers

Answer:

4.5 minutes for each lap

Step-by-step explanation:

18 min/ 4laps

simplify to 9min/2laps which equals 4.5 mins/lap

What percent is represented by this 20-square grid?

A bar diagram with 18 shaded squares and 2 unshaded squares.

%

Answers

Answer: This means 38% of the large square is shaded. Incorrect. There are 62 small unshaded squares out of the 100 in the large square, so the percent of the large square that is unshaded is 62%.

...

Example

Problem What percent of the grid is shaded?

Answer 23% of the grid is shaded.

2 more rows

Answer:

The answer is 90

Step-by-step explanation:

Since the shaded part fills in about 3/4 of the diagram, percent multiplied to be 100. please mark me brainliest

Halla el divisor común maximo 24 у 36

Answers

El máximo común divisor es 12

Por cierto, hablo inglés, así que estoy usando Google Translat. :)

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