Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 27 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, Rebecca, and John are chosen

Answers

Answer 1

Answer:

1/2925 = 0.0003 = 0.03% probability that you, Rebecca, and John are chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the people are chosen is not important, so the combinations formula is used to solve the question.

Combinations formula:

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

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

Desired outcomes:

Only 1 outcome in which these 3 people are selected, so [tex]D = 1[/tex]

Total outcomes:

3 people from a set of 27, so

[tex]T = C_{27,3} = \frac{27!}{3!(27-3)!} = 2925[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1}{2925} = 0.0003[/tex]

1/2925 = 0.0003 = 0.03% probability that you, Rebecca, and John are chosen.


Related Questions

Ryan is saving for his college tuition. He has $2,550 in a savings account that pays 6.25% annual interest.

Answers

If you are asking how much will he have in his account. Its $3,668.71

What is the prime factorization of 18?
A. 18 = 6 x 3
B. 18 = 2 x 3 x 3
C. 18 = 2 x 2 x 3
D. 18 = 2 x 9

Answers

the answer is B yw, can you please rate my brainliest

Which figure appears to show
parallel lines?
A
B
C
D

Answers

I think the answer is C

Find U

Write your answer as an integer or as a decimal rounded to the nearest tenth.
U =

Answers

Law of sines:
w/sin(w) = u/sin(u)

Substitute:
11/sin(35) = u/sin(112)

Multiply by sin(112) to solve for u:
(11*sin(112)) / sin(35) = u

Solve:
10.199 / 0.574 = u
17.768 = u
17.8 = u :)

Cuáles son las condiciones para que sólo se pueda trazar un único rombo ​

Answers

Answer:

GENDER YOUR WHAT, IF WOMEN, LET TO ' DO

SEX

A circular flower garden has a diameter of 16 ft. A square pond is placed in the center that measures 5 ft on each side. About how much area of the garden remains for the flower garden

Answers

Answer:

779.352 ft^2

Step-by-step explanation:

Given data

Diameter of circular garden= 16ft

Radius of garden= 16/2= 8ft

Length of side of square pond= 5ft

Area of circular garden= πr^2

A=3.142*16^2

A= 3.142*256

A=804.352 ft^2

Area of square pond

A= L^2

A= 5^2

A= 25ft

Hence the area that remains

=Area of circular garden- Area of square pond

=804.352- 25

= 779.352 ft^2

In the figure, the area of the shaded part is 40% of the area of Square P. It is also 20% of the area of square q. What percent of the figure is shaded?

Answers

Answer:

i need HELP ON THIS ONE PLEASE HELP

Step-by-step explanation:

Carlos spends $14.38 on equipment. How much change should Carlos receive if he gives the clerk $20.00?

Answers

He will receive $5.62.

Keith has a package of 75 marbles.He gave an equal number of marbles to each of his 8 friends. How many marbles will be left over?

Answers

Answer:

9

Step-by-step explanation:

The number of marble left if Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends, is 3.

What is division?

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups.

When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.

Given:

Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends,

Calculate the number of marble left as shown below,

The number of marble left = Reminder of (total number of marble / 8)

The number of marble left = Reminder of(75 / 8)

The number of marble left = 3

Thus, the number of marble left is 3.

To know more about division:

https://brainly.com/question/27566440

#SPJ5

- What is the value of 2.7 X 4.1
A. 1,107 B. 11,07 C. 110'7
D. 1,107

Answers

Answer: B.11.07

Step-by-step explanation: (2.7)(4.1)

11.07

is 8/12 greater than 10/15?

and how do you know?

Answers

Answer:

no, they are equal. we know this because when reducing both they are equal.

Step-by-step explanation:

first find the least common denominator

that's 3

reduce fractions until the denominator is both 3

we get 2/3 and 2/3. the proportions are equal.

8/12 is .6667, and 10/15 is also .6667. They are the same decimals, which means they are the same value. To answer your question, No, 8/12 is not greater than 10/15, they are exactly the same

help! (Math and area!!)

Answers

Answer:

1.) Triangle is 1/2 x b x h (Which is option C)

2.) Rhombus is ½ × d1 × d2. (Which is option A)

3.) Trapezoid is ½(b 1+b 2)h or (b1 + b2)h/2 (Which is option B)

4.) Parallelogram is base x height (Which is option D)

Step-by-step explanation:



2.2.31

Among fatal plane crashes that occurred during the past 70 years, 217 were due to pilot error, 66 were due to other human error, 279 were due to weather, 254 we

problems, and 143 were due to sabotage."

Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it?

Complete the relative frequency distribution below.

Relative

Cause

Frequency

Pilot error

Other human error

Weather

Mechanical problems

Sabotage

(Round to one decimal place as needed.)

tions

pport

Check Answer

Answers

Answer:

The answer is "Option A".

Step-by-step explanation:

Please find the complete question in the attachment file.

Calculating the value of total deaths [tex]= 503 + 90 + 326 + 382 + 643 = 1944[/tex]

The relative frequency of the table can be defined as follows:  

[tex]reason \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Calculation \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Relative \ frequencies \\\\[/tex]

[tex]Pilot \ error \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{503}{1944} = 0.258 \ \ or \ \ 25.8\% \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 25.8 \% \\\\[/tex]

[tex]Another \ human \ error \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{90}{1944} = 0.046 \ or \ 4.6\% \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4.6 \% \\\\Weather \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{326}{1944} = \ 0.168\ or \ 16.8 \% \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 16.8\% \\\\[/tex]

[tex]Mechanical \ \ issues \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{382}{1944} = 0.197 \ \ or\ \ 19.7\% \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 19.7 \% \\\\Sabotage \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{643}{1944} = 0.331 \ \ or \ \ 33.1\% \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 33.1\% \\\\[/tex]

Sabotage has been the most significant threat to aviation safety because it is the highest frequency of sabotage. Safety only at the airport might be improved.

help plz I will give you BRAINLYST I don't know if I spelled that right lol but plz and I will give you a follow plz help me

If s = 1 over 2 unit and A = 16s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)

Answers

Answer:

The value of A, in square units is:

1

Step-by-step explanation:

Answer:

6o0

Step-by-step explanation:

PLEASE ANSWER THIS, LIKE ITS REALLY EASY I BEG. IM JUST HORRIBLE AT MATHS AND ILL GOVE BRAINLEST.

Answers

Answer:

(0,-2)

Step-by-step explanation:

Answer:

(0,-2)

Step-by-step explanation:

I hope im right!!

What is the value of 2 ^ 3

Answers

Answer:

8

Step-by-step explanation:

2^3 is the same as 2 x 2 x 2

2 x 2 is 4 and 4 x 2 is 8

so 2^3 is 8

Answer:

8

Step-by-step explanation:

haw to write 5/17 has a mixed number

Answers

Answer:

3 2/5

Step-by-step explanation:

Assuming that you meant 17/5, because 5/17 can't be made into a mixed fraction: The closest multiple of 5 is 15. There is 2 left over. So, that makes 3 2/5.

4. Determine the length of the missing side.
15
8
07
O9
17
23

Answers

Answer:

the answer is option : 17

Jessica drove for 6 hours at 51 mph. How far did Jessica drive?

Answers

Answer:

306 miles

Step-by-step explanation:

6 x 51

Answer:

162.5 miles

Step-by-step explanation:

hope this helps :)

a coach buys a uniform and a soccer ball for each of 12 players on the team each soccer ball cost $15 the coach spends the $432 for uniforms and soccer balls how much does each uniform cost

Answers

Answer:

$21

Step-by-step explanation:

12 times 50 is 180. 432 minus 180 is 252. 252 divided by 12 is 21.

Hello, I hope you are having a great day, your question, a coach buys a uniform and a soccer ball for each of 12 players on the team each soccer ball cost $15 the coach spends the $432 for uniforms and soccer balls how much does each uniform cost Okay so we know we got 12 players on each team that cost $15 for a soccer ball so we times that by 12 = $180 now we take away that from $432 - $180 = 252$ then divide that 12 = 21 so the uniform cost $21 all together.

What is the value of p?
6
7
8
9

Answers

Answer:

it is 6

Step-by-step explanation:

got it right on EDGE TEST REVIEW

Answer:

The answer is 6

Step-by-step explanation:

Got it right on a quiz

what is 25 * 6 * 2/5. ​

Answers

Answer:

25 * 6 * 2/5. = 60

Step-by-step explanation:

BRAINLIEST, THANK AND 5 STARS FOR RIGHT ANSWER!!!!
4400 dollars is placed in an account with an annual interest rate of 7%. To the nearest year, how long will it take for the account value to reach 10100 dollars?

Answers

Answer:

Step-by-step explanation:

[tex]$ You did not state whether this is simple or compound interest.$ \\ \\ $Simple$ \\ \\ A=Prt\\ \\ t= \frac{A}{Pr}\\ \\ t= \frac{10100}{4400(.07)}\approx 33 \\ \\ $ Compound $ \\ \\ A=P(1+r)^t\\ \\ t=ln\frac{A}{P}/ln(1+r)\\ \\ t=ln\frac{10100}{4400}/ln(1.07)\\ \\ t\approx 12[/tex]

The salaries of 4 players on a professional basketball team average $200,000 per year. If a fifth player is hired for $400,000 per year, what will be the average salary for the 5 players? Answer with supporting work:​

Answers

If salary average of 4 players is making $200,000/yr, what's the total payroll?  It should be $200K x 4 or $800,000.

Now if you add in that 5th player at $400,000 what is the total payroll of all 5 players?  It should be $800,000 + $400,000 = 1,200,000.  From there you can find the average of the 5 players by dividing!

-4x < 16
How do I solve this inequality?

Answers

Answer:

x>-4

Step-by-step explanation:

Divide by negative 4 on both sides, and since its a negative, you have to flip the inequality sign, so it comes out to be x> -4

Yes or no
Please help

Answers

Answer:

Yes

Step-by-step explanation:

The shape inside has the same angle and the shape is a circle

10,12,6,1,9,16,20,17,8 find the meana

Answers

Answer:

mean 11  median 10

Step-by-step explanation:

Round to the nearest thousandth
5906÷72​

Answers

Answer:

82.028

Step-by-step explanation:

hope it helps


I need help with these fractions

Answers

The answer is 6.24 for the first one

please help me! I am giving 20 points

Answers

Answer:

Last option is the correct answer.

Step-by-step explanation:

Matrix multiplication is only valid if the number of columns of the first matrix are equal to the number of rows of the second matrix;

Here, in the last option, first matrix has one column and second matrix has one row so this matrix multiplication is possible.

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