At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in her department—11 males and 14 females. The employer wants to know how many ways there are to give vacation hours to 6 of the employees. How many possible groups of 6 employees can the employer choose?

Answers

Answer 1

Answer:  There are 177100 possible groups.

Step-by-step explanation:

Given: Total employees = 25

Number of  employees  wants to choose = 6

The combination of n things taken r at a time is given by:-

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Put n = 25 and r= 6, we get

[tex]^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100[/tex]

Hence, there are 177100 possible groups.


Related Questions

someone pls help me

Answers

1.69
Because if think about the base and the area
You will understand

What percent of 3/4 is 3/8 ? (Round to the nearest whole percent)

Answers

I think the answer is 2 percent

hope this is answer

Suppose you have budgeted for 3 expenditures, $100, $150 and $50. However the amount that you have spent is $95, $175 and $20. Did you spend more or less than what was budgeted? By how much? (Show Your Work)

Answers

Answer:

Spent less than budget by $10

Step-by-step explanation:

→ Work out total budget

100 + 150 + 50 = 300

→ Work out total expenditure

95 + 175 + 20 = 290

Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?

Answers

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given

There are 9 chips numbered 1 to 9 placed in a box

Margie selected one chip from the box

If the chip is multiple of 3 then the chip can be 3, 6, or 9

So, the probability associated with this is

[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]

B = P + Prz solve for r

Answers

Answer:

(B-P) / Pz  = r

Step-by-step explanation:

B = P + Prz

Subtract P from each side

B-P = P -PPrz

B-P = Prz

Divide each side by Pz

(B-P) / Pr  = Prz/Pz

(B-P) / Pz  = r

Someone please help me thank you

Answers

Answer:

x = - 1

Step-by-step explanation:

Given

4x = x^2 - 5               Transfer 4x to the right side.

Solution

x^2 - 4x - 5 = 0          Factor

(x - 5)(x + 1)

You want the negative solution. That means that the middle sign must be plus.

x + 1 = 0                   Subtract 10 from both sides

x = - 1                       Ten on the left disappears by the subtraction process.

Is that correct?

4x = x^2 - 5

x = - 10

4*(-1) = (-1)^2 - 5

-4  = ? 1 - 5

-4 = - 4

and it does work.  

NO LINKS OR FILES
PEASE HELP IM BEING TIMED

On a map of North Carolina, the distance between Raleigh and Charlotte is 1 point
3 inches. The scale on the map is 1 inch = 40 miles. What is the actual
distance?

Answers

Answer:

52 miles

Step-by-step explanation:

You can use simple law of proportions to calculate this one.

[tex]\frac{1.3 inch}x} = \frac{1inch}{40mile}\\x= 52 miles[/tex]

solve for x and you get 52 miles.

I have added a similar example below if that helps further explain this.

What is the solution to the equation. |x- 4| = 17?
A. x= -13 or x= 21
B. x= 21
c. x= -21 or x= 13
D. No solutions exist.

Answers

A, x=-13 or x=21.

-13 - 4 (-13+ -4) is equal to -17. Due to absolute value bars, it is now positive 17.

21-4 = 17
Answer: C. x = -21 or x = 13

Step-by-step explanation:

Find the value of x
I give you 10 points if you help

Answers

Step-by-step explanation:

x = 55

I hope this is helpful

Can someone help me please

Answers

We can barely see it

it's sideways take a better pic

In a scale drawing of a house, 1/2 inch = 1 1/2 feet. If the length of a kitchen is 5 1/2 inches on a scale drawing, what is the actual length of the kitchen?

Answers

Answer:

16 1/2 feet

Step-by-step explanation:

The above question is calculated as:

1/2 inch = 1 1/2 feet.

5 1/2 inches = x

Cross Multiply

1/2 inch × x = 5 1/2 inch × 1 1/2 feet

x = 5 1/2 inch × 1 1/2 feet/ 1/2 inch

x = 11/2 × 3/2 ÷ 1/2

x = 11/2 × 3/2 × 2/1

x = 33/2 feet

x = 16 1/2 feet

Therefore, the actual length of the kitchen is 16 1/2 feet

An aquarium is 8 feet long, 5 feet wide, and 3.4 feet deep. What is the volume of the tank?

Answers

Answer:8x5x3.4= 132 feet squared

Step-by-step explanation:

X-2y=5 2x-4y=10

Put both equations in slope-intercept form
Solve the systems of equations by substitution
Solve the systems of equations by graphing


ONE HUNDRED POINTS HURRY

Answers

Step-by-step explanation:

X-2y=5 ; 2x-4y=10

• x - 2y = 5 • 2x -4y = 10

-2y = -x+5 -4y= -2x +10

y1 = ½x - 5/2 y2 = ½x -5/2

• => y1 = y2

½x -5/2 = ½x -5/2

the systems have no solution

• graph as attached

Answer:

[tex]\textsf{Equation 1}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

[tex]\textsf{Equation 2}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

True for all x (infinitely many solutions)

Step-by-step explanation:

Slope-intercept form of a linear equation:

[tex]y = mx + b[/tex]

(where m is the slope and b is the y-intercept)

Given equations:

[tex]\begin{cases}x-2y=5\\2x-4y=10\end{cases}[/tex]

To put both equations in slope-intercept form, rearrange both equations to make y the subject:

Equation 1

[tex]\implies x-2y=5[/tex]

[tex]\implies x-2y+2y=5+2y[/tex]

[tex]\implies x=5+2y[/tex]

[tex]\implies x-5=5+2y-5[/tex]

[tex]\implies 2y=x-5[/tex]

[tex]\implies 2y \div 2=(x-5) \div 2[/tex]

[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

Equation 2

[tex]\implies 2x-4y=10[/tex]

[tex]\implies 2x-4y+4y=10+4y[/tex]

[tex]\implies 2x=10+4y[/tex]

[tex]\implies 2x-10=10+4y-10[/tex]

[tex]\implies 4y=2x-10[/tex]

[tex]\implies 4y \div 4=(2x-10) \div 4[/tex]

[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]

Therefore, both equations are the same as they have the same slope and y-intercept.

As both equations are the same, this system of equations is called an equivalent system.

To solve a system of equations by substitution, substitute one equation into the other:

[tex]\implies \dfrac{1}{2}x-\dfrac{5}{2}= \dfrac{1}{2}x-\dfrac{5}{2}[/tex]

As both sides are equal, the solution is true for all x.

The solution to a graphed system of equations is the point(s) of intersection.

When graphing the given system of equations, as the lines are the same, they will be on top of each other. They are called coincident lines and have infinitely many solutions since the lines have the same slope and same y-intercept.

Learn more about systems of equations here:

https://brainly.com/question/21447811

https://brainly.com/question/27357423

If −15 + 3x = −7 + 5x, then 6x =_____?

Answers

Answer:

-15+3x=-7+5x

-15+7=5x-3x

-8=2x

-8/2=x

-4=x

6x=6*-4

=-24

Step-by-step explanation:

Answer:

[tex] - 15 + 3x = - 7 + 5x \\ 3x - 5x = - 7 + 15 \\ - 2x = + 8 \\ - x = 4 \\ x = - 4 \\ therefore = \\ 6x = 6 \times ( - 4) \\ 6x = - 24 \\ i \: hope \: this \: was \: helpful[/tex]

value of 3z when z = 1.2

Answers

Answer:

3.6 is the answer

Step-by-step explanation:

3z when z=1.2

3(1.2)=?

3*1.2=

(3*1)+(3*.2)=3+.6

Answer:

3.6

Step-by-step explanation:

If z = 1.2

3z

= 3 × (1.2)

= 3.6

Hope it helps ⚜

Find the length of arc AB with an angle measure of 15 degrees and radius of 10 cm. Round to the nearest hundredth place if you get a continuous decimal when dividing with 360 degrees.

Answers

Answer:

AB ≈ 2.62 cm

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{15}{360}[/tex]

     = 2π × 10 × [tex]\frac{1}{24}[/tex]

     = [tex]\frac{20\pi }{24}[/tex]

     ≈ 2.62 cm ( to the nearest hundredth )

Please select more than 1 answer.

Answers

Answer:

Is the C and F

Step-by-step explanation:

This equation is linear as it goes in a straight line. It is also a function because it passes the vertical line test where the line will only pass through one point on the graph. (A&B)

Assume the selling price of your house calculate the
commission amount of your house if the commission rate
is 5•/•​

Answers

Answer:

$14000

Step-by-step explanation:

Given that :

Commission 5% of sale price

Sale price of house = $280,000

Commission = 5% of $280,000

Hence,

Commission = 0.05 * $280,000

Commission = $14,000

Hamdan bought a TV for 40000 and sold it for 32000. What is the profit/loss percentage

Answers

Answer:

20% loss

Step-by-step explanation:

(32000-40000)/40000 * 100 = -20%

Answer:

Step-by-step explanation:

CP of a TV=40000

Sp of a TV=32000

here CP is greater than Sp so there is loss

loss=CP-SP

=40000-32000

=8000

loss%=loss amount/cp*100%

=8000/40000*100

=800000/40000

=20%

If A and B are supplementary angles and A is times as large as ​B, find the measures of A and B.

Answers

I can solve this but you never wrote how many times a is bigger than b

Calcule a área da região sombreada da figura abaixo.
120°
4 cm
B

Answers

Answer:

Area of segment = 9.8 cm² (Approx.)

Step-by-step explanation:

Given:

Angle θ = 120°

Radius of circle = 4 cm

Find:

Area of segment

Computation:

Area of segment = [θ/360][π][r]² - [1/2][r²][sinθ]

Area of segment = [120/360][3.14][4]² - [1/2][4²][sin120]

Area of segment = [0.333][3.14][16] - [0.5][16][0.866]

Area of segment = 16.7299 - 6.28

Area of segment = 9.8019

Area of segment = 9.8 cm² (Approx.)


A cylinder has a radius of 6 m and a height of 11 m.



What is the approximate surface area of the cylinder

Answers

Answer:

https://www.calculatorsoup.com/calculators/geometry-solids/

use that webiste it will answer your problem

Step-by-step explanation:

Answer: 640.6m^2

Step-by-step explanation:

Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}

Answers

Step-by-step explanation:

Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}

Candy is creating balloon arrangements for a party . She has 32 red balloons , 24 white balloons and 16 orange balloons. She wants to make each arrangement with the same number of balloons for each colour . What Is the greatest number of arrangements that can be made by her if each balloon is used ?

Answers

Answer:

16

Step-by-step explanation:

8 arrangements (8 is the GCF of 32, 24 and 16)

Each arrangement would contain 4 red, 3 white and 2 orange balloons.

HELP, 66% because of you beauty's! CAN WE GET TO 80, tho?
Pwease

Answers

Answer:

49 square miles

Step-by-step explanation:

Sorry on the last question :(

----------------------------------------------------------------------------------------------------------------

Have a good day :)

Answer:

49 square miles

Step-by-step explanation:

7 × 5 = 35

9 - 5=4

4 × 8 = 32

32 ÷ 2 = 16

35 + 16 = 49

PLEASE HELP!!! find the value of x. if necessary, write your answer in simplest radical form

Answers

Answer:

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

8^2+x^2=12^2

64+x^2=144

x^2=80

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

using Pythagorean theorema²+b²=c²

12 hypotenuse and let us say 8 is the 'a'

=> 8²+x²=12²

=>64+x²=144

=>x²=144–64

=>√x²=√80

=>x=4√5

Which of the following is the graph of the inequality y < 3x+ 1?
А
B
C
D
5
To (1.4)
(1.4)
(1.4)
5
(1.4)
(0.1)
(0.1)
€ (0, 1)
(0, 1)
-6
5
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

D is the correct graph.
Testing (1, 4) which on the line. 4 = 3x1 + 1 is true so the line is solid.
Testing (0, 0) which is below the line. 0 = 3x0 + 1 is true so the origin must be in the shaded region.

What is the value of X?

Answers

Answer:

16

Step-by-step explanation:

AB = BC    

32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]

Im really questioning my answer to this
(-5) × 7​

Answers

Answer:

-35

Step-by-step explanation:

-5 times 7 = -35

hope that helped :)

Answer:

- 35

Step-by-step explanation:

The product of a negative and a positive is negative, so

- 5 × 7 = - 35

The dot plot shows how many cats are owned by each person in a neighborhood: Dot plot titled Neighborhood Cats and labeled Number of Cats shows number line from 1 to 10. There are 6 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, 0 dots over 5, 6, 7, 8, and 9, and 1 dot over 10. Is the median or the mean a better measure of center for these data and why

Answers

Answer:

Median, because the data are skewed and there is an outlier

Step-by-step explanation:

yo hoped it helped

Other Questions
Solve the system of equations. I need help with these Someone help pls.What is advocating and why is it important to advocate something? Agriculture activities are precursors for environmental degradation without human and nation benefit discuss HELP WITH SPANISH PLEASE!!!!La cancin de Camila, MientesLYRICS-"TLlegaste a mi vida para ensearmeTSupiste encenderme y luego apagarmeTTe hiciste indispensable para m, y, yY con los ojos cerrados te seguSi yo busqu dolor, lo conseguNo eres la persona que pensQue cre, que pedMientesMe haces dao y luego te arrepientesYa no tiene caso que lo intentesNo me quedan ganas de sentirLlegasCuando estoy a punto de olvidarteBusca tu camino en otra parteMientras busco el tiempo que perdQue hoy estoy mejor sin tiVoyDe nuevo recordando lo que soySabiendo lo que das y lo que doyEn m no queda espacio para ti, y, yY, y el tiempo hizo lo suyo y comprendLas cosas no suceden porque sNo eres la persona que pensQue cre, que pedMientesMe haces dao y luego te arrepientesYa no tiene caso que lo intentesNo me quedan ganas de sentirLlegasCuando estoy a punto de olvidarteBusca tu camino en otra parteMientras busco el tiempo que perdQue hoy estoy mejor sin tiQue hoy estoy mejor sin tiOuh, ohLlegasCuando estoy a punto de olvidarteBusca tu camino en otra parteMientras busco el tiempo que perdQue hoy estoy mejor sin tiQue hoy estoy mejor sin tiQue hoy estoy mejor sin tiEscribe una lista de los 12 verbos en el Pretrito. (Do not write them multiple times if they repeat). Luego, traduce las conjugaciones al ingls.Ex; Llegaste - you arrived Help lol!!!!!!!!!!!! Based on the data, which campaign strategy would be most successful in congressional races?o Challengers should highlight how ineffective the incumbent is at bringing pork-barrel spending to the district.o Challengers should campaign with representatives from other districts to highlight their ability to work withcurrent members.O Incumbents should highlight programs within the district while avoiding appearing heavily connected toCongress in general.O Incumbents should campaign by emphasizing their membership in the party that currently controlsCongress, which should stay on its current path. (I need help please)A student is writing an analysis essay on Jimmy Santiago Bacas poem "I Am Offering This Poem to You."Which conclusion can best be supported by evidence from the poem? AThe speaker seeks opportunities to travel and encounter natures beauty.BThe speaker values romantic love and the joy that it can offer.CThe speaker embraces a simple life without material possessions.DThe speaker seeks forgiveness and practices self-reflection. What happens to the body when blood glucose level increase than the normal level? PPLEASE HELP FASTThe social welfare department of town conducted a survey to know the number of illiterate males and females in the town. The results are given below. Total number of males = 58,409 Total number of literate males = 47,354 Total number of females = 54,289 Total number of literate females = 42,876 Based on the above information answer the following questions.a) Find the number of illiterate males and females and write their number name. b) Find the total number of people in the town and round it to the nearest hundreds place. Which of the following is a correct statement about water? (3 points)Hydrogen bonding causes water to be strongly cohesive.Hydrogen bonding causes water to have a low surface tension.Water is a universal solvent because polar and nonpolar solutes can dissolve in it.Water is less dense as a liquid than as a solid because of changes in bond structure. The fair deal included twenty-one points one of which Help me put these steps in order for the action potential !!!!!!!! Please Each cement block weighs 1 1/4 pounds. How much do 8 cement blocks weight in total? 0.444 mol C2H5OH= how many molecules Given circle o, what is the length of arc AB if m AOB =40 ?Radius is 9 simplify (2 3/5-1 2/3)5/8 Amidst ongoing famine, rising discontent, and increased taxes Louis XVI called a meeting of the Estates-General leading up to the French Revolution. This was the first time this call had been issued in one hundred fifty years. Why did the king call this meeting what is the radius of a circle having the circumference 22cm. Solve step by step plzz Expand.Your answer should be a polynomial in standard form 5q 2 (q5)