Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 19 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, Samuel, Lisa, and Andrew are chosen

Answers

Answer 1

Answer: the probability that I, Samuel Lisa and Andrew are chosen is 0.0003

Step-by-step explanation:

Given that;

Number of 4 employees are to be chosen from 19 of them;

so Number of ways to choose 4 employees from 19 employees = ?

we know that;

c(n,r) = [tex]\left[\begin{array}{ccc}n\\r\end{array}\right][/tex] = n! / ( r!(n-r)!)

so we substitute

c(19,4) = [tex]\left[\begin{array}{ccc}19\\4\end{array}\right][/tex] = 19! / ( 4!( 19-4 )!) = 3876

so the probability that I, Samuel Lisa and Andrew are chosen will be;

⇒ 1 / 3876 = 0.0002579 ≈ 0.0003

the probability that I, Samuel Lisa and Andrew are chosen is 0.0003


Related Questions

summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years​

Answers

Answer: B.12 years

Step-by-step explanation:

what is the value of x?

Answers

Answer: The horizontal value in a pair of coordinates how far along the point is. The X Coordinate is always written first in an ordered pair of coordinate (x,y), such as (12, 5).

Step-by-step explanation: Hope This Helps :)

For a example, the value 12 is the X coordinate. And Also called Abscissa.                              

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown".

a rock is thrown into a pond from a bridge above. The path the rock follows can be modeled by the equation h = - 16t^2 +44t + 12, where t is time and h is the height of the rock. Which of the following expressions is equivalent to this expression?

Answers

Ans

Step-by-step explanation:i dont know

boris has 10 pairs of jeans 15 shirts and 7 sweaters in his closet right the ratio of sweaters to pairs of jeans using a colon

Answers

Answer:

7:10 or 3:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

7:10 h

4X + 11 < -21 graph represents

Answers

Answer:

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer: x=-8.   (graph with open circle going left from -8 for khan academy)

Step-by-step explanation:   -21-11<-32

4x>-32

x<-8

PLEASE HELP!! Will mark brainliest, find the measure of

Answers

Answer:

[tex]m\angle BYP=42^\circ[/tex]

Step-by-step explanation:

Lines and angles

The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.

[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]

We are given the acute angles as a function of m. thus:

5m + 98 + 2m + 48 = 90

Simplifying:

5m + 146 = 90

5m = -56

m = -56/5 = -11.2

m = -11.2°

To find the measure of angle BYP, substitute m in

5m + 98 = 5*(-11.2) + 98 = 42°

[tex]m\angle BYP=42^\circ[/tex]

Find the slope intercept equation of the line

Answers

Answer:

Y=2x-2

Step-by-step explanation:

Slope intercept form is also known as y=mx+b

The slope of a line is rise over run. In this case that would be 2/1 which simplifies to 2

The intercept is where the line crosses the y axis, which is at -2

So your equation would be y=2x-2

Jug A holds 1800ml Jug B hold 3/10 more. How much does jug B hold?​

Answers

Answer:

Jug B can hold 2340 ml.

Step-by-step explanation:

Given

The amount in Jug A = 1800ml

To determine

How much does jug B hold?​

Give that the Jug B holds 3/10 more, i.e.

[tex]\frac{3}{10}\times \:1800=540[/tex]

Thus,

The total amount in Jug B = 540+1800

                                           = 2340 ml

Therefore, Jug B can hold 2340 ml.

Answer:

get into it

Step-by-step explana   tion:

 

50 POINTS!!!!!! PLEASE HELP FAST
What is the radical form of the expression 423?

Answers

Answer:

A

Step-by-step explanation:

A fraction exponent can be represented using a radical. The base number is the number in the radical. The numerator of the fraction is the exponent inside the radical. The denominator is the type of radical.

To write an exponent in radical form , the denominator, or index goes in front of the radical, and the numerator goes inside of the radical. We raise the base to the power of the numerator

4 2/3

∛4².

Hope this helps :)

PLEASE ANSWER 16 17 18 CORRECTLY I WILL MARK BRAINLIST

Answers

Answer:

A   A  B

Step-by-step explanation:

will give branliest
Simplify the follow expression

3x + 8y + 13x

Answers

the answer would be: 16x+8y
you just combine like terms

Answer:

16x+8y

Step-by-step explanation:

Let's simplify step-by-step.

3x+8y+13x

Combine Like Terms:

=3x+8y+13x

=(3x+13x)+(8y)

=16x+8y

1-27
What is the simplified version of Square root of -27

Answers

Answer:

3√3

Step-by-step explanation:

ASAP HELP!! sorry the photo is bad it’s the lighting but please help

Answers

Answer:

3

Step-by-step explanation:

For questions 13 - 14, determine which mappings are functions. please help, will give brainliest

Answers

Answer:

24

Step-by-step explanation:

What is the decimal multiplier to increase by 99%?

Answers

Answer:

1.99

Example:

Increase 10 by 99%.  99% of 10 is 9.9 so increased value would be 10 + 9.9 = 19.9

10 x 1.99 = 19.9 ... same answer

Step-by-step explanation:

Answer:

It is 1.99

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

A giant tortoise moves at a slow but steady pace. It takes
the giant tortoise 3 seconds to travel 10.5 inches.
How many inches will the tortoise travel in 1 second?

Answers

the answer should be that it will take the tortoise 1 second to travel 3.5 inches

In quadrilateral ABCD m < A= 90°
m 2 C = 50° and m < B = m D.
Find the degree measure of < B.

Answers

Answer:

m∠B = 170°

Step-by-step explanation:

Sum of all angles in quadrilateral is 360°:

m∠A + m∠B + m∠C + m∠D = 360°

m∠B = 360° - m∠A - m∠C - m∠D

m∠A = 90°

m∠B = m∠D= 50°

m∠B =  360° - 90° - 50° - 50° = 170°

List the sides in order from shortest to longest. The diagram is not to scale. Triangle upper J upper K upper L is shown. Angle upper J is labeled 45 degrees. Angle upper K is labeled 57 degrees. Angle upper L is labeled 78 degrees. A. Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar, line segment JK B. line segment JK,Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar C. line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar D. Modifying above Upper L Upper K with bar, line segment JK, Modifying above upper L upper J with bar

Answers

Answer:

your answer would be C

Step-by-step explanation:

line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar

Which math expression means "the difference of 40 and 12"?

Answers

Answer:C

Step-by-step explanation:This is because c has subtract sign and you are trying to find the difference and difference you need to subtract.And you need to find the difference of 40 and 12 so u write 40- 12 which is choice c.

Hope it helps and it does please give Brainliest .Thanks ;)

simplify this algbraic expression completely 5y-3(y+2)

Answers

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

Your bill at pizza hut is $30. You leave 20% tip. Whats is the amount of tip?

Answers

You gave $30.

[$30 * 0.20] (tip % amount) = $6.

You left $6 in tips.

PLEASE HELP I WILL GIVE BRAINLIEST!!!

1 - A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.
2 - A system of equations may not have an exact solution that meets the conditions of a real-world solution.

it would be so amazing if you could help, im legit so confused :(

Answers

Answer:

1-   1+2+3+4+5 = 15

Step-by-step explanation:

find the measure of the angle

Answers

Answer:

2 = 74

1 = 106

Step-by-step explanation:

none

Sandy has 15 roses, 3 daisies, and 12 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet? The greatest number of flowers that could be in a bouquet is flowers.​

Answers

Answer:

3 bouqetes 5 roses 4 tulips

Step-by-step explanation:

PLEASE HELP THIS IS TIMED!!!! I WILL GIVE BRAINLIESTTTTTT

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −3
0 0
1 3
g(x)

g(x) = 7x + 2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

Answers

Answer

Given: Sorry the images are at the bottom.

To find:

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

Solution:

On inspection of values of x and f(x) it is clear that f(x) is a linear function

i.e.

1)Slope of f(x) and y-intercept of f(x):

Convert the function in slope intercept form and calculate the slope.

Slope intercept form:

Here,

Slope of f(x)=1,

y-intercept of f(x)=(0,0)

2) Slope and y-intercept of g(x):

Slope of g(x)=7

Y-INTERCEPT of g(x) =(0,2)

Part A:

Slope of f(x) is 1 and slope of g(x) is 7.

Part B:

g(x) has a greater y-intercept.

Hope it helps you.

what’s the answer? i need it asap please

Answers

Answer:

D

Step-by-step explanation:

Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!

Answer:

8x+30+4x+18=180

12x+48=180

180-48=12x

132=12x

x=132/12

x=11

1 is 25% of what number?

Answers

Answer:

4

hope it helps.........

Answer:

1 is 25% of 4

Step-by-step explanation:

let the number be x,

so, 25% of x = 1

=》25/100 × x = 1

=》 1/4 × x = 1

=》 x = 1×4

=》 x = 4

hence the required number is 4

i hope u got it

Launch Problem
A group of friends is making goody bags for a birthday party. They have 12 pencils, 6 erasers, and 18 stickers.
(a) What is the greatest number of identical goody bags they can make using all of the pencils, erasers, and stickers?
(b) How many pencils, erasers, and stickers would each bag have?

Answers

Answer:

A) 6

B) 2 Pencils,1 Eraser,3 Stickers.

Step-by-step explanation:

Hope this helps!

if two fair coins are tossed simultaneously, what are the chances of both coming up 'heads'?​

Answers

Answer:

i think 1/4

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

We name the coins coin 1 and coin 2 for the sake of simplicity.

There are four possible situations:

coin 1 head, coin 2 head

coin 1 head, coin 2 tails

coin 1 tails, coin 2 head

coin 1 tails, coin 2 tails

Only case 1 results in both 'heads'. So the probability is 1/4.

x + 3 = 0

y = 1

What is the solution of the system?

(3, 1)
(1, 3)
(1, -3)
(-3, 1)

Answers

Answer:

1 i think this is answer...

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