A professor must randomly select 4 students to participate in a mock debate.
There are 20 students in his class. In how many different ways can these
students be selected, if the order of selection does not matter?

Answers

Answer 1

Answer:

Step-by-step explanation:

We can use combinations

20 choose 4:

20!/(16!*4!)

= (20*19*18*17)/4!

= 4845


Related Questions

A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images. Sample 1= 4 Sample 2= 1 Sample 3= 9 How do the sample statistics compare to the population mean and standard deviation?

Answers

k = 13The smallest zero or root is x = -10

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

Steps:

note: you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+1 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

Please mark brainliest

Hope this helps.

anybody please help me :( I’m so bad with graphing

Answers

Answer:

the correct answer is D


What is the surface area of the rectangular prism?

Answers

Answer:

Right rectangular prism

A=2(wl+hl+hw)

l Length

w Width

h Height

Question 9
1) Which number is a rational number?
134
49
9
13
2
16​

Answers

Answer: all of them

Step-by-step explanation:

Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.

solve ... 5x + 4 < 3 - 3x

Answers

X< - 1/8 let me know if Uu need work

(n + 18)
(2n)
What is the value of n

Answers

Answer: if this is what you wanted ,I think that n=0 and /or n= -18

Step-by-step explanation:

In an equation equal to 0 you can say that if it is a product like that : A x B =0 so A or / and B can be equal to 0 so you have to search when A=0 and when B=0 separately then you know when n is equal to 0 so the values of n . I’m sorry if it is not what you needed as an answer.

Probability: Please help me answer the question attached.

Answers

Answer:

most probably A part 1 by 12 . and i think it's also . d part 1 by 3

What two whole, positive numbers that have a one-digit answer when multiplied and a two-digit answer when added?

Answers

Answer:

1 & 9

Step-by-step explanation:

I believe that the numbers 1 and 9 fit the statement- as they would be 1 x 9= 9 and 1 + 9=10.

Hope this helped!! Please mark as Brainliest and/or give a rating !! Thank You :)

Please answer this correctly

Answers

Answer

[tex] {10}^{ - 6} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

What does BC equal? Round your answer to the nearest tenth.
A. 22
B. 15.01
C. 2.14
D. 455

Answers

[tex]answer \\ = 15.01 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

HELP PlZ
Which of the following graphs represents the equation

y-4=3(x-1)?

Graph A.

Graph B.

Graph C.

Graph D.​

Answers

Answer:

D

Step-by-step explanation:

The point slope form of a line is y-h=m(x-k), where h is the y coordinate of the point, k is the x coordinate, and m is the slope. Therefore, a line with the equation given will have a slope of 3 and go through the point (1,4). The only graph here that matches that is graph D, meaning that it is the answer. Hope this helps!

Answer:

D is the answer

Step-by-step explanation:

I need help pleas help me it’s worth 38 pointsss I need help asap

Answers

Answer:

C

Step-by-step explanation:

The parent graph of this function is the absolute value, or |x|. However, it is shifted 8 units to the right and 2 units up. Therefore, the equation of this function is y=|x-8|+2, or answer choice C. Hope this helps!

Solve the equation: −4(+6)=−8

Answers

Answer: m=-4

Step-by-step explanation:

The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.

-4m-24=-8

Now that we have distributed, we can go ahead and solve for m.

-4m=16

m=-4

Answer: m= -4

step-by-step explanation:

The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.

-4m-24=-8

Now that we have distributed, we can go ahead and solve for m.

-4m=16

m=-4

What is an equation example?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

What is an equation easy definition?

1: a statement of the equality of two mathematical expressions. 2: an expression representing a chemical reaction by means of chemical symbols.

Learn more about Equation at https://brainly.com/question/1214333

#SPJ2

What is the value of x in trapezoid ABCD?
x=15
x=20
x=45
X=60

Answers

Answer:

A. X = 15 is the correct answer.

Step-by-step explanation:

It's the only one that really makes sense.

Hope this helped :) :)

Answer:

15

Step-by-step explanation:

Correctly identify the first step in solving the system of equations by using the elimination method given the following equations:

5x+y=5
10x+3y=20

Answers

Answer:

x=-1 and y=10

Step-by-step explanation:

-3(5x+y=5)

10x+3y=20

-15x-3y=-15

10x+3y=20

10x-15x+3y-3y=20-15

-5x=5

x=-1

5x+y=5

(-1)5+y=5

-5+y=5

y=10

Factor this polynomial completely over the set of complex numbers: f(x)=x^3-x^2-4x+4 Pleaseee answer asap! Thanks!

Answers

f(x)=(x-1)(x+2)(x-2) over all it equals to zero

Answer:

(x-1) (x-2) (x+2)

Step-by-step explanation:

1. Factorice x^2 y -4 de la expresion.

x^2(x-1) -4(x-1)

2. Luego, debemos de factorizar x-1 de la expresion.

(x-1)(x^2 -4)

3. Usando a^2 - b^2= (a-b)(a+b) factorice la expresion.

(x-1) (x-2) (x+2)

The equation c=13t gives the cost c (in dollars) of t tickets for a play. Identify the independent and dependent variables.
help

Answers

Answer:

Independent variable is tickets.

Dependent variable is cost(dollars).

Step-by-step explanation:

Dependent variable depends on independent variable.

In this question, the total amount deoend on number of ticket bought. As number of tickets increases, the total cost will also increase.

5. Write down the nth term of each of the following G.Ps
whose first two terms are given as follows. Also find
the term stated besides each G.P. i) 12,-3b,......sixth term​

Answers

Answer:

1i) nth term = 12(-b/4)^(n-1)

ii) nth term = 3(-1/9)^(n-1)

2i) Sixth term= (-3b^5)/256

ii) Eight term = -1/1594323

Question:

The complete question as found on brainly (question-10746111):

Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.

i) 12,-3b,......sixth term

ii) 3,-1/3,..........;8th term?

Step-by-step explanation:

1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.

i) 12,-3b,......;sixth term

1st term = a= 12

r = common ratio = 2nd term /1st term

r = -3b/12 = -b/4

Then we would find the nth term

See attachment for details

ii) 3,-1/3,..........;8th term

1st term = a= 3

r = common ratio = 2nd term /1st term

r = (-⅓)/3 = (-⅓)(⅓) = -1/9

Then we would find the nth term

See attachment for details

2) we are to determine the sixth term in (i) and eight term in (ii)

See attachment for details

Sixth term= (-3b^5)/256

Eight term = -1/1594323

The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Elm and Oak stations. Write your answer to the nearest tenth of a mile.

Answers

Answer:

4.5 miles

Step-by-step explanation:

On the graph,

Elm station is located at (-3,-6)Oak station is located at (-1,-2)

We use the distance formula to find the distance between Elm and Oak.

[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\(x_1,y_1)=(-3,-6), (x_2,y_2)=(-1,-2)\\Distance=\sqrt{(-1-(-3))^2+((-2)-(-6))^2} \\=\sqrt{(-1+3)^2+(-2+6)^2} \\=\sqrt{2^2+4^2}\\=\sqrt{20}$ Units \\ Distance =4.5 mile (to the nearest tenth of a mile.)[/tex]

Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national rental car company that charges a 12$ daily fee plus .30 per mile, he also find a rental car company that charges a 10$ daily fee, plus a .40 per mile under what conditions would it be less expensive to rent from the national car company?

Answers

Answer:

When Jeff travels more than 20 miles

Step-by-step explanation:

Let 'x' be the number of miles traveled by Jeff.

In order for the national car company to be less expensive, then the following condition must be met:

[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]

This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.

What is the approximate value of tan C?
B
13.93
5
13

Answers

Answer:

B you need to plug it in the calculator

The approximate value of tan C is 0.38 (Option D).

To find the approximate value of tangent (tan) of angle C, we can use the given side lengths of the right-angled triangle ABC:

Hypotenuse (c) = 13.93

Base (b) = 13

Height (a) = 5

The tangent of angle C is defined as the ratio of the height (a) to the base (b):

tan C = a / b

tan C = 5 / 13

Now, let's calculate the approximate value of tan C:

tan C ≈ 0.3846

Among the given options (0.36, 0.93, 2.6, 0.38), the closest approximation to the value of tan C is option D: 0.38.

Therefore, the approximate value of tan C is 0.38.

To know more about tan, refer here:

https://brainly.com/question/12754887

#SPJ2

Complete Question:

What is the approximate value of tan C?






























































































































































Item 50
There are 6 green marbles and 7 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.

Answers

Answer:

6/13

Step-by-step explanation:

There are 13 marbles total in the bag.

The chance of picking a green marble is 6/13. This fraction cannot be simplified.

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300\text{ mL}300 mL300, start text, space, m, L, end text of cherry juice.

Answers

Answer:

1.2Litres

Question:

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?

Step-by-step explanation:

Let the total punch bowl be = P

Portion of Orange juice = ½ of total punch bowl

= ½ × P = P/2

Portion of grape = ½ of the remaining space

Remaining space = P - P/2 = P/2

Portion of grape = ½ × P/2 = P/4

The rest of the punch bowl is for cherry = 300mL

P/2 - P/4 = 300

(2P - P)/4 = 300

P/4 = 300

P = 300×4

P = 1200mL

1mL = 10^(-3)L

P = 1.2 ×10³ × 10^(-3)L

P = 1.2L

Wes made 1.2liters of fruit punch.

I need help ASAP I shall give brainlyist (idk how to spell)

Answers

Answer:

12 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 6 so the radius is d/2 = 6/2 = 3

108 pi = pi (3)^2 h

108 pi = 9pi h

Divide each side by 9pi

108 pi /9pi = 9pi h/9pi

12 = h

Answer:

12cm in height

Step-by-step explanation:

Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(s). The area of one triangular face is 7.58.1251517 mm2. The surface area of the triangular prism is 55.5127.5135150 mm2.

Answers

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17  [tex]mm^2[/tex]

The surface area of the triangular prism is 55.5,127.5,135,or 150  [tex]mm^2[/tex]

Answer:

(B)2 triangular faces

(C)3 lateral faces.

(A)Area of one Triangular Face [tex]=7.5mm^2[/tex]

(C)Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face [tex]=\frac{1}{2}*6*2.5=7.5mm^2[/tex]

The dimensions of the lateral rectangles are:

2.5 mm by 8mm6 mm by 8mm6.5 mm by 8mm

Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

[tex]=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2[/tex]

Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]

Answer:

A....2

B....3

C.....7.5

D......135

Step-by-step explanation:

What is the numerical solution to the equation five less than three times a number equals four more than eight times rhetorical number?

Answers

Answer:

3n-5=8n+4

Step-by-step explanation:

Find the solution of ×\2-1/5=×\3+1/4 please help me with this​

Answers

Answer:

[tex]x=\frac{27}{10}[/tex]

Step-by-step explanation:

Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]

First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator

[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]

Now, we can multiply each side by 60, which will remove the fractions

[tex]30x-12=20x+15[/tex]

Now we can add 12 to each side

[tex]30x=20x+27[/tex]

Now subtract 20x from each side

[tex]10x=27[/tex]

And lastly, divide each side by 10

[tex]x=\frac{27}{10}[/tex]

11 + 11 = 4 22 + 22 = 16 33 + 33 = ?

Answers

Answer:

66

Step-by-step explanation:

Answer:

Answer will be 36

Step-by-step explanation:

11*11=4 -> (1+1)*(1+1)=4, 22*22=16 -> (2+2)*(2+2)=16. Hence, 33*33 -> (3+3)*(3+3)=36. Add the digits of 11 that will be 2. hope this helps you :)

Which expression is equivalent to this one??? Cuhhhhhhhhhh...,,,!!!

Answers

Answer : The equivalent expression of the given expression is 1.

Step-by-step explanation :

According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).

The given expression is:

(11²)⁴ ÷ 11⁸

First we have to solve bracket.

= (11)⁸ ÷ 11⁸

By dividing this expression, we get:

= 1

Therefore, the equivalent expression of the given expression is 1.

can someone plz help ​

Answers

Answer:27/28

1/4+5/7

TakingLCM

7+20/28

27/28

Answer: 27/28

Step-by-step explanation:

1/4 + 5/7

= 7/28 + 20/28

= 27/28

Other Questions
Which of the lines below is a line of symmetry?A. NeitherB. RedC. YellowD. Both In Confucian philosophy, in order to rise in government ranks in ancient Chinese society you had to pass an exam. Q.4 a) If a= x+y and b= x-y , show that I) (a+b)= 4x ii) ( a-b)= 4y a particular gene can have two forms, called alleles. which statement best describes the difference between the dominant allele and the recessive allele? (a)only the recessive allele is expressed when both alleles ate inherited.(b)the recessive allele can be expressed only if it moves to a different chromosome.(c)only the dominant allele is expressed when both alleles are inherited.(d)the dominant allele can be expressed only if two homologous chromosomes have it. 1.) What is most closely a central idea of the address, "Address to Students at Moscow State University?"a. Reagan believes that technological advancements are exclusive to America.b. A key to the Information Age will be making certain that the media does not become to powerful.c. Technology is a new frontier that entrepreneurs and inventors can explore. 2.) What is most likely the author's reason for mentioning the State of the Union in the first line of the address?1st line: Ladies and gentlemen, I'd planned to speak to you tonight to report on the state of the Union, but the events of earlier today have led me to change those plans. a. to emphasize the historic nature of the tragedy that occurredb. to tie in the Challenger explosion with the rest of his planned remarks for the State of the Union c. to vent his frustration at the change of plans The sum of a number and twenty-one is sixty-four. HELP ASAP!A health insurance provider had net incomes of $356 million, $460 million and -$166 million in 3 consecutive years. What was the health provider's total net income for these three years? Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week? does anyone know the bottom answer please While making oatmeal cookies, Angela needs to add cup of milk to her dough. However, she has only a -cup measuring cup. How many times does she need to fill the measuring cup to pour cup of milk? The number of times Angela needs to fill the -cup measuring cup to pour cup of milk is . Find the difference of the complex numbers (7+3i)-(3-7i) The age of father is three times the age of son. If the age of son is 15 years old, then the age of father is:50 years55 years45 years40 years A. Survivors of the concentration camps were malnourished andstarving.B. General Dwight D. Eisenhower wanted to gather photographicevidence of the camps.C. Soldiers found bodies piled up when they liberated theextermination camps.D. The camps were kept secret from the majority of the Germanpublic. i need help i read to build a fire with the 2 questions what does the resolution tell you about the protagonist future? how does the theme developed in the story? Kuzma Foods, Inc. has budgeted sales for June and July at $ 680 comma 000 and $ 765 comma 000, respectively. Sales are 85% credit, of which 70% is collected in the month of sale and 30% is collected in the following month. What is the budgeted Accounts Receivable balance on July 31? Brief Exercise 3-5 On July 1, 2017, Major Co. pays $27,600 to Cruz Insurance Co. for a 3-year insurance contract. Both companies have fiscal years ending December 31. For Major Co., journalize and post the entry on July 1 and the annual adjusting entry on December 31. (Credit account titles are automatically indented when the amount is entered. Do not indent manually. Record journal entries in the order presented in the problem.) How many solutions does the equation 4x + 8 = 2 2 + 5x have? Which of these rights does the 1st Amendment of the Constitution NOT cover? A: ExpressionB: SpeechC: PressD: Bearing Arms Joana wants to buy a car. Her parents loan her $5,000 for 5 years at 5% simple interest. How much will Joana pay in interest? What are the fundamental parts of a typical cell