A committee consisting of faculty members and students is to be formed. Every committee position has the same duties and voting rights. There are faculty members and students eligible to serve on the committee. In how many ways can the committee be formed?

Answers

Answer 1

Answer:

Total number of ways of making the core committee = 3150

Step-by-step explanation:

Complete Question  

A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 6 faculty members and 10 students eligible to serve on the committee. In how many ways can the committee be formed?

Solution  

Total Faculty members = 6

Total Students = 10

Out of 6 faculty members, 2 will be chosen for the committee

While 4 students will be chosen out of 10 to be in the committee.  

Hence,  

Total number of ways of making the core committee = 6C2 * 10C4

= 15*210  

= 3150


Related Questions

Help me please help please choose two answers

Answers

Answer:

Choice 1 and Choice 2

Answer:

1,2 hope this helps

Step-by-step explanation:

I just did this

Isabel owns a T-shirt cart and has a contract with a local sports arena to distribute T-shirts outside the venue. Isabel is paid a flat rate of
$255 and a variable rate per T-shirt. The following table represents the total amount of money isabel makes. Let & denote the
number of T-shirts that Isabel sells and let y denote the amount of money that Isabel makes. What is the estimated amount of money
that Isabel makes if she sells six T-shirts?
T-shirts
0
1
2
3
4
Money
$255 $270 $289 $312 $339

Answers

Answer:

$355

Step-by-step explanation:

i need help!!

Solve the equation. Give the exact solution and an approximate solution to three decimal places.

5^(7x) = 60

Answers

Answer:

.363

Step-by-step explanation:

I believe that the answer is .363, I didn't round anything

Determine the new price after following the markdown.
original price
$72.00
markdown
15%

Choices
•$61.20
•$62.50
•$61.85
•type equation here

Answers

Answer:

$61.20

Step-by-step explanation:

15% of 72 is 10.8 (because 72 x 0.15 = 10.8)

So, the markdown is $10.80 off of $72.00

To get the new sale price, we just subtract the markdown ($10.80) from the original price ($72.00)

$72.00 - $10.80 = $61.20

So, the answer is $61.20

I hope this helps! :)

What is the value of X?

Answers

Step-by-step explanation:

x = √(100+66)

=√(166)

hope it helps!

Marking brainliest!!

Was the KKK prominent people ?

Answers

Well it depends on how you define prominent. Their actions made them notorious in history books and everyone feared them in the Jim Crow era. So yes, they were prominent but more notorious.
Agree with first answer not good ppl in the least but we’re indeed quite prominent I put the def below for u if it helps.

Prominent definition; important/famous

They were definitely important and famous, just not in the best light ya feel me?


G = { liquid, solid, gases} what type
of set is G.
a) Empty set
b) Firite set
c) Infinite set
d) Undefined set​

Answers

Answer:

Step-by-step explanation:

I think it’s b…

Which type of sampling method is being employed in the following example:
“A person is trying to decide between two different tablets. So, the person asks a
few customers standing at the technology counter in the department store if they
like the iPads or the Android based tablets."

Answers

Answer: Convenience sample

Step-by-step explanation: The person asks the fist people in the store she sees at the technology counter so it is not a random sample.

PLEASE assist me in this geometry problem !!! Thanks

Answers

Answer:

B=9*5=45m²

P=4+5+3=12m

H=9m

Now

S.A=P*H+2B=12*9+2*45=198m²

V=BH=45*9=405m³

here

B:base area of rectangle

P=perimeter of triangle

H=length of rectangle

S.A=surface area

V=Volume

question in photo. it needs to all equal the same number.

Answers

Answer:

1. There are _______ quarter notes in a whole note.

2. There are_______ half notes in a whole note.

3. There are________ quarter notes in a half note.

4. There are________ quarter notes in two half notes.

5. There are ______quarter notes in three half notes.

6. A whole note equals________ half notes

7. A whole note equals________ quarter notes. 8. A half note equals______ quarter notes.

9. Two half notes equal_______quarter notes. 10. Four quarter notes equal_______ whole note.

G
A
E
H
B
F
How many line segments are shown?
CO

Answers

F becuas ejerjjdjdjdjdjdjd

In the United States, the maintenance and construction of airports, transit systems, and
major roads is largely funded through a federal excise tax on gasoline. Based on the 2011
statistics given below, how much did the average household pay per year in federal gasoline
taxes?
.
The federal gasoline tax rate was 18.4 cents per gallon.
• The average motor vehicle was driven approximately 11, 340 miles per year.
The national average fuel economy for noncommercial vehicles was 21.4 miles per
gallon.
The average American household owned 1.75 vehicles.
.
$55.73
$68.91
$97.52
$170.63

Answers

Answer:

Step-by-step explanation:

uy

According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.

How to calculate how much average household paid per year in federal gasoline taxes?

To calculate how much the average household paid per year in federal gasoline taxes, we can use the following steps:

Determine the total number of gallons of gasoline consumed by the average household per year:

Total gallons = (Total miles driven) / (Miles per gallon)Total gallons = 11,340 miles / 21.4 miles per gallonTotal gallons = 530 gallons (rounded to the nearest gallon)

Calculate the total amount paid in federal gasoline taxes per year:

Total taxes = (Total gallons) * (Tax rate per gallon)Total taxes = 530 gallons * $0.184 per gallonTotal taxes = $97.52

According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.

Learn more about taxes in: https://brainly.com/question/23347326
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what does c stand for in math

Answers

Answer:

Any number depending on what math problem like

Step-by-step explanation:

5 + c = 14 so c is 9

Answer:

In math algrebra, there are varibles. These varible are letters. Letters are a symbol that can represent anything. So 4x+5=? To figure that out we need to know x. That is an example that a variable can be any number

Step-by-step explanation:

What is the diameter of a hemisphere with a volume of 863 in3 to the nearest tenth
of an inch?

Answers

Answer:

Step-by-step explanation:

somehow i got 146.729521 inches...

Answer:127.5in

Step-by-step explanation:

use V=2/3(pi)r^2

863=2/3(pi)(r^2)

isolate the radius

then you get r=63.8

63.8*2= 127.5in

FIND THE SURFACE AREA OF THE FIGURE BELOW, PLEASE HELP ME AND SHOW WORK

Answers

Answer:

Step-by-step explanation:

9.3 times 7 equals 65.1

65.1 time the 5 sides equals 325.5

325.5 plus the 84 for the base equals 409.5 ft^2

the fifth-grader classes at Brookfield school used five identical school buses to go on a field trip. There were a total of 40 seats on each bus, all of the four buses were filled. The fifth bus had 4/5 of the seats filled, and 1/8 of all the passengers on the buses were adults. How many adult went on the field trip with the fifth grade classes?

Answers

32 students on the fifth bus, 192 students in total, 24 teachers in total.

Step-by-step explanation:

40 × 4 = 160

4/5 of 40 = 32

1/8 of 192 (the total number of students) = 24

the answer of this question is 24

HII CAN someone pls help me with these 2 im stuck on them :((!!
i need a answer and i have to explain
plS HELP!!!

Answers

for 14: work out 10% which is 72 then X4 which is 288.

20 POINTS PLEASE HELP IM IN CLASS RIGHT NOW

Answers

Answer:

496

Step-by-step explanation:

992/2 =496

In how many ways can a committee of two men and two women be formed from a group of nine men and nine women?

Answers

Answer:  1296 different committees

==========================================================

Explanation:

We have 9 men and we want to select 2 of them. The order doesn't matter. If order did matter, then we would have 9*8 = 72 permutations. Since order doesn't matter, we have instead 72/2 = 36 combinations. The reason why order doesn't matter is because no person outranks another on a committee. Any given seat is the same as anyone else. This is excluding any chairperson of course.

So we have 36 ways to select the men. There are also 36 ways to select the women as well for the exact same steps as listed above. This is due to there being 9 women total and we're selecting 2 of them.

Since there are 36 ways to select the two men, and 36 ways to select the two women, this leads to a total of 36*36 = 1296 different committees

It might help to think of a table that has 36 rows and 36 columns. Each row could represent a different two-person group of men while each column represents a different two-person group of women. The intersection of a given row and column would then form a unique four-person committee. So that may help visually show why there are 36*36 = 1296 different committees (each committee is an inner cell).

Use the diagram below to answer parts B, and C.
5 in
5 in
4.3 in
14 in
5 in
Part B: What is the volume of the triangular prism?
Volume =
in3
Part C: What is the surface area of the triangular prism?
in2
Surface Area =

Answers

Answer:

The volume of the triangular prism in the diagram is:

105.5 [tex]in^{3}[/tex]

The surface area of the triangular prism in the diagram is:

10.75 [tex]in^{2}[/tex]

Step-by-step explanation:

First, we're gonna calculate the surface area to obtain the volume, then, to calculate the area of a triangle (because the surface o a triangular prism is just a triangle), you can use the formula:

Area of a triangle = (base * height) / 2

We have this data from the diagram, where the base of the triangles is 5 inches and, the height is 4.3 inches, replacing this in the formula:

Area of a triangle = ( 5 in * 4.3 in) / 2Area of a triangle = ( 21.5 [tex]in^{2}[/tex]) / 2Area of a triangle = 10.75 [tex]in^{2}[/tex]

Now, we can calculate the volume of the triangular prism with the next formula:

Volume of a triangular prism = surface area * depth

In the diagram, we can see the depth is 14 inches, then:

Volume of a triangular prism = 10.75 [tex]in^{2}[/tex] * 14 inVolume of a triangular prism = 105.5 [tex]in^{3}[/tex]

How you can see with the calculations perfomed, the surface area is 10.75 [tex]in^{2}[/tex] and the volume of that triangular prism is 105.5 [tex]in^{3}[/tex].

Your bedroom wall is 221 inches wide. You want to hang two posters, each 28 inches across, with an equal space between each poster and the wall edges. How many inches of space should you leave between the wall edge and each poster?​

Answers

Answer:

55 inches

Step-by-step explanation:

2 posters x 28 inches each = 56

221 - 56 = 165 inches

3 blank spaces on wall

165 ÷ 3 = 55 inches between posters and on either side

ILL MARK BRAINLIST

Which option identifies if the study in the following scenario is valid at the margin of error and correctly explains why or why not?
A researcher seeking a margin of error of 5% designs a study for a sample size of 144.


Yes, because 53 = 225 > 144

Yes, because = 0.69% < 5%

No, because 144 * 5% = 7.2 > 5

No, because = = 8.3% > 5%

Answers

Answer:

B would be your best choice

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

other guy isn't correct, got wrong answer

Pls help ! Will give brainliest

Answers

Answer:

constraints - limitations on a problem

vertices - point of intersection

feasible area - maximize or minimize

last one is last one

Step-by-step explanation:

Pablo was getting ready for a bike race.

• He rode his bike each day for 32 days.

• He rode his bike for 45 minutes each day.

How many minutes did Pablo spend riding his bike to get ready for the race?

A
288

B
1,360

C
1,431

D
1,440

Answers

Answer:D

Step-by-step explanation:

32 (days) × 45(minutes each day) = 1440

brainliest and 35 points!

Which of the following number lines represents the solution to m/-2 - 7 = -9?

Answers

I think that is the second one but I’m not really sure , sorry if isn’t correct
That right I just came here to check

800% of what number is 6880

Answers

Answer:

The answer is 11.63

Step-by-step explanation:

Write the equation of a line that is parallel to y=−5/4x+7
and that passes through the point (-4,1)

Answers

Answer:

y=-5/4x-4.

Step-by-step explanation:

parallel lines have to have the same slope so they don't intersect each other

original equation with the same slope and rewrite it using point slope form:

y-y1=-5/4(x-x1) now Substitute the point(-4,1)

y-1=-5/4(x-(-4))

y-1=-5/4(x+4)

Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:

y-1=-5/4x-5

y=-5/4x-4.

The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.

Answer: y=-5/4x-4.

Step-by-step explanation:

10t^-5 Simplify. Write the expression using only positive exponents.

Answers

Answer:

Step-by-step explanation:

[tex]10t^-5 = 10/t^5[/tex]

The value of  10[tex]t^{-5[/tex] in positive power is 10/ [tex]t^5[/tex].

What are Exponents and power?

The base number is the number that is being multiplied by itself an infinite number of times, and the exponent is the number of times that it is being multiplied. The nth power of the given number is an expression that results from multiplying a given number by itself n times.

We have,

Expression: 10[tex]t^{-5[/tex]

We know to make the power positive we have to reciprocate the number.

Now, using exponents we get

[tex]a^{-m}= 1/a^m[/tex]

So,  10[tex]t^{-5[/tex]

=  10/ [tex]t^5[/tex]

Learn more about Exponents and Power here:

https://brainly.com/question/15722035

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2\div7=2÷7=2, divided by, 7, equals ??Question mark Choose 1 answer:(Choice A) A \dfrac97 7 9 ​ start fraction, 9, divided by, 7, end fraction (Choice B) B \dfrac72 2 7 ​ start fraction, 7, divided by, 2, end fraction (Choice C) C \dfrac27 7 2 ​ start fraction, 2, divided by, 7, end fraction (Choice D) D \dfrac29 9 2 ​

Answers

Answer:

(Choice C) C \dfrac27 7 2 ​ start fraction, 2, divided by, 7, end fraction

Step-by-step explanation:

2÷7=2, divided by, 7, equals

(Choice A) A \dfrac97 7 9 ​ start fraction, 9, divided by, 7, end fraction

(Choice B) B \dfrac72 2 7 ​ start fraction, 7, divided by, 2, end fraction

(Choice C) C \dfrac27 7 2 ​ start fraction, 2, divided by, 7, end fraction

(Choice D) D \dfrac29 9 2 ​

2÷7=2, divided by, 7, equals (Choice C) C \dfrac27 7 2 ​ start fraction, 2, divided by, 7, end fraction

2 ÷ 7

= 2/7

= 0.2857142857142

= 0.29

please hurry, will give brainliest

Answers

Answer:

5.03709... , 4.923935... , 4.123105... (square root of 17) , 3.464101... (square root of 12)

Step-by-step explanation:

:D

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