The manager of an accounting department wants to form a two
person advisory committee from the 18 employees in the department. In how many ways can the manager do this? Pls show work.

Answers

Answer 1

Answer: 153

Step-by-step explanation:

When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:

[tex]C (N, K) = \frac{N!}{(N-k)!*K!}[/tex]

Where N! = N*(N - 1)*(N - 2)*...*2*1

In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).

Using the above equation we get:

[tex]C(18, 2) = \frac{18!}{(18 - 2)!*2!} = \frac{18!}{16!*2!} = \frac{18*17}{2} = 9*17 = 153[/tex]

There are 153 different ways in which the manager can do this.


Related Questions

Which statement can be used to disprove the conjecture?

Conjecture: The square of any integer is positive.

Answers

Answer:

conjecture= the subject

Read, and choose.

A. 10%

B. 25%

C. 50%

D. 80%

Answers

It’s c.......................:)

The hospital has found that if a patient is being visited on average at least 8.4 times per day, they can give the same patient care with 3 less nurse visits per day. How many nurse visits per day can the hospital reduce for these 13 patients?

Answers

Answer:

6

Step-by-step explanation:

the number of patients that get visted 8.4 times is 1 and another 1 at 8.3 add those up and mutiply by the 3 less nurses visits you get 6

Number of nurse hours  the hospital can reduce is 6.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Number of patients visited on average at least 8.4 times per day = 2 patients

Now for each of the 2 patients the hospital can reduce 3 nurse visits.

Thus,

Number of nurse hours the hospital can reduce = 3 x 2

⇒ Number of nurse hours the hospital can reduce = 6 hours

Thus, Number of nurse hours  the hospital can reduce is 6.

To learn more about expressions :

brainly.com/question/11568837

#SPJ2

Solving linear equation study island

Answers

Answer:

Step-by-step explanation:

(x-9)/5))(5) = 2(5)

answer is B

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JJ

Answers

Answer:

its

Step-by-step explanation:

i cant explane

Given that f ( x ) = x 2 − 6 x + 8 f(x)=x 2 −6x+8 and g ( x ) = x − 2 g(x)=x−2, find f ( x ) + g ( x ) f(x)+g(x) and express the result in standard form.

Answers

Answer:

Step-by-step explanation:

Your problem → f(x) = x^2 - 6x + 8,g(x) = x - 2,find f(x) + g(x)

f(x)=x^2-6x+8

g(x)=x-2

f(x)+g(x)=?

Now f(x)+g(x)

=(x^2-6x+8)+(x-2)

=x^2-6x+8+x-2

= x^2 - 6x + x + 8 -2

=x^2 -5x + 6

I can't change it to standard form but i hope this helps:)

What is the slope of the line through

(-8, 10) and (6, 10)?

Answers

Answer:

the slope is 0

Step-by-step explanation:

m=0

Answer:

0

Step-by-step explanation:

y2 - y1/ x2 - x1

10 - 10 = 0

6 - (-8) = 14

0/14 = 0

When the depth of the water is 9604kmm what is the speed of the tidal wave?

Answers

Answer:

906 will make the game faster but not equal

Step-by-step explanation: 89/8 is the eqaul part

The ration of child to teen to adult tickets sold at a water park on Saturday was 4:1:2. A total of 294 tickets were sold. How many child tickets were sold?

Answers

Answer:  168 child tickets were sold.

Step-by-step explanation:

Given: The ratio of child to teen to adult tickets sold at a water park on Saturday was 4:1:2.

Let the number of child tickets = 4x , teen tickets = x , adult tickets = 2x

Total tickets = x+4x+2x = 7x =294

[tex]\Rightarrow\ x=\dfrac{294}{7}\\\\\Rightarrow\ x=42[/tex]

Number of child tickets = 4(42) = 168

Hence, 168 child tickets were sold.

PLS help me
if you get it right i will give brainliest

Answers

Answer:

yes I think

(correct me if I'm wrong)

Answer : 34

Step-by-step explanation:

Solution,

Given,

base = 16

perpendicular = 30

hypotenuse = ?

Now,

By the formula of Pythagoras Theorem,

h^2 = p^2 + b^2

h^2 = 30^2+16^2

h^2 = 900+256

h = sqrt ( 1156 )

h = 34

Therefore, the value of x (hypotenuse) is 34.

In which point of the graph is the water increasing?

Answers

Answer:

2

Step-by-step explanation:

1, the previous answer 2 is wrong because nothing is happening to the water during that period

A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallon each second. A fish tank has 120 gallons of water and is being filled at a rate of 1/4 gallon each second. After how many seconds will the ywo fish tanks have the same amount of water?

Answers

Answer:

40! Seconds

Step-by-step explanation:

Calculation for After how many seconds will the two fish tanks have the same amount of water

First step

Based on the information given let the equation be :

150-1/2x=120+1/4x

Second step

Now let solve for x which means that x will be the number of second by multiplying both side by 4

4(150-1/2x)=4(120+1/4x)

=600-2x=480+x

Third step

Let Add 2x on both side

600=480+3x

Third step

Let Subtract 480 on both side

600-480=480-480+3x

120=3x

Last step is to divide both side by 3

120/3=3x/3

40=x

Hence:

x=40 seconds

Therefore After 40 seconds the two fish tanks will have the same amount of water.

write the expanded form of the expression y(0.5+7) please help me thanks!!!

Answers

Answer: y(0.5+7)

= 0.5y+7y

7.5y

Step-by-step explanation:

A game room has a floor that is 350 feet by 40 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. What are the dimensions of the scale drawing? Enter your answer as length by width.

Answers

Answer:

70 by 8?

Step-by-step explanation:

lmk if its right lol..

4y -9x =-23 x=y-3 what is the y-value

Answers

Answer:

y = 10

Step-by-step explanation:

Use the substitution method since you already know what x equals.

4y - 9(y - 3) = -23

Simplify:

4y - 9y + 27 = -23

Combine like terms:

-5y + 27 = -23

Isolate y by subracting 27 from both sides:

-5y = -50

Divide by -5 to get y by itself:

-5/-5 = y

-50/-5 = 10

NEED HELP ASAP YOU WILL GET BRAINLIST.

Answers

Answer:

1 -90 degrees

2-8in

3-16in

Step-by-step explanation:

1. 90 degrees

2. MB=8 inches

3. AC=16 inches

Who this also ?? Help please :)

Answers

Answer:

Step-by-step explanation:

b

b

lol

hope this helps <3

Answer:

in y=mx + b, b is the y intercept. Sp answer choice d.

25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed. Look at the photo.

Answers

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                = [tex]\frac{960-480}{2-1}[/tex]

                                = 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

Find the slope and the y intercept please help what do I do

Answers

Answer:

Slope: -7

y-intercept: (0,12)

Answer:

here give my friend the brainliest ^^;

Step-by-step explanation:

If you know the answer could you please help me out I would really appreciate it thank you!!

Answers

Answer:

X=4 ; X minus two equals zero

Step-by-step explanation:

X minus two equals zero:

x-2=2

Add two to both sides:

x=4

Sebastian bought snacks for his team': practice. He bought a bag of popcorn for $1.68 and a 15-pack of juice bottles. The total cost before tax was $21.78. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?

Answers

Answer:

Each bottle of juice costs $1.34.

Step-by-step explanation:

From the information given, the equation would indicate that the total cost is equal to the price per bag of popcorn for the number of bags plus the price per pack of juice bottles for the number of packs.

Total cost=(1.68*1)+15x

Total cost=1.68+15x

Now, you can replace the total cost with $21.78 and solve for x:

21.78=1.68+15x

21.78-1.68=15x

20.1=15x

x=20.1/15

x=1.34

According to this, the answer is that each bottle of juice costs $1.34.

Answer: $1.25

Step-by-step explanation:

Pls help due ASAP
Show workings pls

Answers

the answer is c
you (4,4) and another point need to be double (2,-5) so the other point needs to add to (4,-10) so 4 + 0 is 4 and 4 + - 14 = 10

HELP PLZZZ WILL GIVE BRAINLEAST

Answers

Answer:

b,c,d,f

Step-by-step explanation:

[tex]perimeter=2(3\sqrt{8} +4\sqrt{20} +2\sqrt{24} ) \\=2(3\sqrt{8} )+2(4\sqrt{20} +2\sqrt{24} ) \\=6\sqrt{8} +8\sqrt{20} +4\sqrt{24} \\=6.8^{\frac{1}{2} } +8.20^{\frac{1}{2} } +4.24^{\frac{1}{2} } \\or~ =12\sqrt{2} +16\sqrt{5} +8\sqrt{6} \\[/tex]

Lala eats three times as many pancakes as her little sister Carmen. If Carmen eats m pancakes, how many pancakes does Lala eat?

Answers

Answer:21

Step-by-step explanation:1-63=90

Answer:

21

Hope this helps! :)

anyone tryna help -10-3(7-x)

Answers

-10-3(7-x)=

answer: -31+3x  that's what he gave me I hope I have helped you.

5. (0,0) and (-2,-8) Slope=_ Equation=_​

Answers

You’re slope would be 4. And you’re slope equation would be y=4x

Find the slope. Please someone answer this I need it I’ve been posting it but no one says anything.

Answers

Answer:

y=1x

y=0.3x

y=4x

Step-by-step explanation:

Determine if the following expressions are equivalent. If so, by what property are they equivalent.

3(x-2) and 3x - 6

A. yes, by associative property
B. yes, by commutative property
C. yes, by distributive property
D. no, the expressions aren't equivalent.

Answers

Answer:

C. Yes, by distributive property

Step-by-step explanation:

Distributive property states that 3 can be distributed to all of the terms inside of the parentheses, namely x and -2. 3x + 3(-2) = 3x-6

f (x) =2x+10 identify the zeros of the function algebraically

Answers

Answer:

x= -5

Step-by-step explanation:

if youre looking for the x this is the answer.

there are 3 more games of cribbage being played than games of chess being played. how many of each game are being played. explain and show your reasoning

Answers

Answer:

Step-by-step explanation:

8 chess & 11 cribbage

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