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

#SPJ1


Related Questions

12÷ 1/5 how to solve this problem​

Answers

Answer: 60

Step-by-step explanation:

2gh – (3 + 7) + x/4

Choose 3 answers

Answers

Answer:2182

Step-by-step explanation:

Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4

Answers

Answer:

first one

Step-by-step explanation:

it is what is it

Change the given equation into slope-intercept form:
1. - 2 + y = -x

Answers

rearrange the equation, so it would be y = -x+2

you want to give it into a y=mx+b form

Math
What is the number of solutions in this system?

No solution

Infinitely many solutions

One solution

Answers

Answer:

should be Infinitely many solutions

Step-by-step explanation:

Which of the following correctly describes the sum below

A. Rational
B. Both Rational and Irratiinal
C. Irrational
D. Neither rational nor irrational. T.I.A

Answers

Answer:

rational

Step-by-step explanation:

Answer:

A rational because it is

How many significant figures are in the number: 0.00029

Answers

Answer:

coochie

Step-by-step explanation:

HELP ASAPPPP
What is the equation of this graphed line? If the line passes through (-6,-3) and (6,-7)

Answers

Answer:

y= -1/3x - 5

Step-by-step explanation:

Answer:

The answer would be y=-1/3x-7.

Step-by-step explanation:

Using the formula y2-y1/x2-x1 to find the slope of the line, plug in the numbers and you will get a slope of -1/3. Now using the the formula y-y1=m(x-x1) and plug in the numbers, and you will get the equation y=-1/3x-7.

PLEASEEE HELP FAST! One solution each is given on four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution for each equation?

Answers

Answer:

Step-by-step explanation:

If one solution of a quadratic equation is a complex number (a + bi),

Other solution of the equation will be the conjugate of the first solution.

So the other solution will be in the form of (a - bi)

If one solution is, x = -4 - 5i

Other solution will be, x = -4 + 5i

If one solution is, x = 4 + 5i

Other solution will be, x = 4 - 5i

If one solution is, x = 5 - 4i

Other solution will be, x = 5 - 4i

Are these ratios equivalent?
16 shipments every 6 years
8 shipments every 3 years
yes
no

Answers

Answer: Yes

Step-by-step explanation:

If you do 16/6 you get 2.667 and if you do 8/3 you also will get 2.667

find the value of x.
(6x+8)
(7x-7)

Answers

Answer:

ITS 95

Step-by-step explanation:

TRY CALCULATING IT

sorry i don't know

sbhwgwvhwhev

playstation or xbox be smart​

Answers

Xbox and PlayStation both have their own good features but Xbox wins overall against PlayStation in specs, games, graphics, streaming, remote play, UI and basically everything.

I have played both btw

Any arguments in the comment section

Answer:

Depends

Step-by-step explanation:

If you want better exclusives get a playstation.

UI the playstation UI is better because it is simple.

Game subscriptions. xbox game pass subscription is better because it has more games and most games get released on game pass as soon as they release.

Question 1
Manipulate the base area and the height of the pyramid, setting different values for each. Record the base dimensions, height, and the exact
volume for two kinds of pyramids: one with a square base and one with a rectangular base. Also calculate the decimal value of each volume, and
verify that it matches the volume displayed by the tool. (You might see some discrepancies in the tool due to rounding of decimals.)

Answers

Answer:

Step-by-step explanation:

If you do this question I will give you brainlest I know the right Awnser just want to test you help me out and I’ll give you brainlest and points

Answers

3% Although I'm probably wrong.

Answer:

13 - 10 = 33 & 13The proportion, x = 23.

Step-by-step explanation:

13 (i.e 100%) - 10 (i.e 77%) = 3 (i.e 23%)difference is 3 & original amount is 13The proportion, x = 23%

-4x-6=-3x-10
solve for x

Answers

X=4
Pls mark brainliest

Answer:

-4x-6 = 3x-10

-4x-3x= -10+6

-7x= -4

x= -4/-7

x= 4/7

A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.

Answers

A 33 pound bag of grass seed has = 2 pounds less than 5 smaller bags of seed

= 33 pounds = 2 pounds less than 5 smaller bags

Let the weight of smaller bag of seed be ' x ' . Then ,

= 33 = 5x - 2

= 5x -2 = 33

= 5x = 33 + 2 ( transposing -2 from LHS to RHS changes -2 into +2 )

= 5x = 35

= x = 35 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 )

= x = 7 = weight of smaller bag of seed

Then , the weight of smaller bag of seed will be 7 pounds . Let us check it by putting 7 in the place of x :

= ( 5 × 7 ) - 2 = 33

= 35 - 2 = 33

LHS = RHS

Therefore , the weight of of smaller bag of seed is 7 pounds .

PLEASE HELP ME!!! THIS IS URGENT!!! DUE IN 5 MINUTES!!!
LOOK AT THE IMAGE

Answers

Answer:

1,5

Step-by-step explanation:

Am I right please helppppppppppppppppp

Answers

slope is the change in y over the change in x.

Using the first and last values:

Slope = (8 - -4)/ (2 - -2)

Slope = 12/4

Slope = 3

Your answer is correct

Complete the input-output table for the function
y= 4+ [2 – 41 – 4
Input
Output
-2
-1
0
1
2

Answers

Answer:

-257

Step-by-step explanation:

What is the distance between 4.5 and 3.75

Answers

Answer:

0.75

Step-by-step explanation:

All six digits in the number are even one digit is used twice all other digits are used once the ones digit is 4 times the hundreds digit the tens digit id the difference of the ones digit and hundreds digit the same digit is in the tens place and hundreds thousands place the thousands digit is not zero

Answers

Answer:

rffrefr

Step-by-step explanation:

The price of a train ticket is 155.00 What would it be if you had a 75% discount

Answers

Answer:116.25

Step-by-step explanation:


It would be 38.75


Hope this helps ❤️

A remote control car travels at a rate of 10 feet per second. How many inches per second is this? (1 feet = 12 inches)

Answers

10 feet would be 120 inches

Today 4 friends went out for lunch. Their total bill was $24.80, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back

Answers

Answer:

each person would getb3 dollars back

Step-by-step explanation:

since each friend pays $10 and there are 4 friends the total is 40 but now you have to do $40.00 minus $25.00 because of tax and gratuity so when you do that you get $15.00 now you have to do 15 ÷ 4 and that equals $3.75 and since you cant divide 75 coins to 4 people we dont add that but now you have your answer each friend gets $3.00

Round 125000 to 3 decimals!

Answers

12.50000 is the answer

Answer:

1.25 is your answer, Since the zeros are just place holders

Step-by-step explanation:

hope this helps!

Have a good day.

1. Given that f(x) = 4x2 + 10x + k ,find the value
of k when f(-1).
A. 6
c. 4
B. 3
D.2​

Answers

when it shows f(x) then f(-1) it just means substitute

0 = 4(-1)^2 + 10(-1) + k

-6 + k = 0

k = 6

it should be a

When the teacher asked Henrietta which is bigger 0.8 or 0.64, Henrietta said 0.64 because “it represents 64 of the hundredths, rather than only 8 of them” what do you think of Henriettas explanation?

Answers

Answer:

Henrietta is incorrect

Step-by-step explanation:

Start in the tenths place and notice that 8 is greater than 6. This makes 0.8 greater than 0.64

You don't need to consider the hundredths place value unless both numbers in the tenths are the same.

A fruit salad recipe calls for 3/4 pound of apples and 2/5 pound of dates. What is the least common denominator of the fractions?
(1 Point)

Answers

Answer:

20

Step-by-step explanation:

because 4x5 equals 20

A certain list contains 11 consecutive multiples of 3.
The first number is 21. What is the middle number?

Answers

Answer:

If this set contains an odd number of elements, say, 3, 6 and 9, then median of a set will ... as well as the mean of this set, will equal the mean of the two middle elements. ... the statement (1) says: All members of S are consecutive multiples of 3 ... I think the right answer is C, since 9 + 12 + 15 + 18 + 21 = 75

Step-by-step explanation:

We can't write every number as a sum of consecutive numbers - for example, 2, ... the sum is an odd number, e.g. 1+2=3 2+3=5 3+4=7 4+5=9 5+6=11 6+7=13 ... Some spotted a similar pattern for multiples of 3. ... If you add any 3 consecutive numbers together it will always equal a multiple of 3, e.g. ... 1+2+3+4+5+6=21

Answer:

36

Step-by-step explanation:

11 multiples of 3 starting from 21 - 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51

21 is the first

51 is the last

36 is in the middle

You purchase 20 lottery tickets, for which the probability of winning some prize on a
single ticket is 1 in 20. What is the probability that you will have at lease one winning
ticket among the 20 tickets?

Answers

It is 20 hgjcybfjcgnjjjhhh
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