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

I need help please people help me

Answers

Answer:

nooooooooooooo

nooooooooooooo

What is the simplified form of the fraction below 15/25

Answers

Answer:

[tex]\frac{15}{25}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{3}{5}[/tex]

Answer:

3/5

Step-by-step explanation:

Both of them are multiples of five by dividing them u get the answer

3/5

The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farms.​

Answers

Complete Question:

The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.

According to the plot, which value is the best estimate of the correlation coefficient of the data?

A. -0.2 B. -0.9 C. 0.9 D. 0.2

*See attachment for the scatter plot.

Answer:

C. 0.9

Step-by-step explanation:

The scatter plot given in the graph attached shows a relation between oranges picked and the number of lemon that is harvested as the line slopes in an upward direction. This suggest a positive correlation coefficient, because as the variable on the Y-axis increases, the variable on the X-axis also increases in the same direction. Hence, our correlation coefficient would be a positive value.

Also, the correlation coefficient would be close to 1, because the points on the scatter plot seem clustered and aligned along the line slope.

Therefore, the best estimated value for the correlation coefficient would be C. 0.9.

How many different angle measures the two parallel and one crossing line can make?

Answers

Answer:

The answer is 2 different angles, 53° and 127°.

Explanation:

As you subtract 180° from the given angle to find the other angle, you will get only 2 angles either 53° or 127°.

Mrs. Smith’s students are trying to guess her age. She gives them 3 clues: (1) “My age is a factor of 60.” (2) “My age is a multiple of 5.” (3) “My age is more than 20 but less than 50.”
a
How old is Mrs. Smith?

Answers

30 yrs old




Explanation:

The factors of 60 are 1 and 60, 2 and 30, 3 and 20, 4 and 15, 5 and 12, and 6 and 10.

The next clue eliminates every number except 5, 10, 15, 20, 30, and 60.

5, 10, 15 are less than 20 and eliminated (60 is eliminated because it is more than 50).

20 is eliminated because it is not greater than itself and so Mrs. Smith must be 30.

Find the volume of prism
Pls!! Show how you got the volume pls

Answers

The answer is 1575. I can tell you step by step how to get it if you want.
First workout volume of the cuboid part then workout the volume of the prism part and then add your answers together to give you a volume of the full shape.
Hope this helps ya

Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!

Answers

Answer:

137

Step-by-step explanation:

The degrees of the inscribed arc of 43 is 43 * 2 = 86

Since the total degrees in a circle is 360, x is equal to

(360-86)/2 = 137

Answer:

x = 137

Step-by-step explanation:

opposite angles are supplementary when they are in a quadrilateral inscribed in a circle

43+x = 180

Subtract 43 from each side

x =180-43

x=137

What are the two main methods for solving a system of equations?

Answers

Answer:

substitution, and 2) elimination

Step-by-step explanation:

Step-by-step explanation:

elimination

substitution

Paul needs to find 310% of 72%. which expression should he use?

Answers

Answer:

2.232, or 223.2%

Step-by-step explanation:

(3.1)(0.72)

Answer:

B

Step-by-step explanation:

i took the test and got it right

What is the perimeter of the trapezoid?

Answers

Answer:

17

Step-by-step explanation:

2+7+4+4 = 17

Add all of the sides hence perimeter

calculate using unit squares

You have a 12 inch by 14 inch picture that you frame. When you hung the picture, you found that the entire area is 261.44 in. What is the width of the frame?

Answers

Answer:  c) 3.2 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 12)(x + 14) = 261.44

Rewrite it in Standard form of a quadratic equation:

x² + 26x + 168 = 261.44

x² + 26x - 93.44 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-26+\sqrt{26^2-4(1)(-93.44)}}{2(1)}\\\\\\x=\dfrac{-26+\sqrt{1049.76}}{2}\\\\\\x=\dfrac{-26+32.4}{2}\\\\\\x=\dfrac{6.4}{2}\\\\\\x=\large\boxed{3.2}[/tex]

the slope intercept form of the equation of the line that passes through point (-3,8) is y=-2/3x+6. what is he point-slope form of the equation for this line

Answers

Answer:

2x + 3y = 18

Step-by-step explanation:

y=-2/3x+6 needs to be re-written as 3y = -3(2/3)x + 18 (without fractions).  This result simplifies to 3y = - 2x + 18, which can be re-ordered as

2x + 3y = 18 (equation in standard form)

The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations.
y = -2x + 4,
y=-x-1
What is the solution to the system?

Answers

Answer: x = 5 and y=-6

Step-by-step explanation:

If we graph both equations, the interception is the point (5,-6). Therefore the solution for x is 5 and for y is -6.

Help me out with this^^

Answers

Answer: 76 m^2

Step-by-step explanation:

[tex]A=\frac{4+15}{2}*8 = 76\;m^2[/tex]

Please help !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:15

Step-by-step explanation:

its obvious lol simple maths

it is 15. simple math you can plug it in:))

Which equation is equivalent to 4 x = t + 2

Answers

Answer:

Its supposed to be x = s

like its in the picture

So we divide both sides by 4

we get t+2 / 4

That means the answer is C

Answer:

the correct answer for this question is c. s= t+2/4

source. edge.

1
The table shows the cost y (in dollars) of x cold drinks.
Drinks, x 0 2 4
6
0
Cost y
6
3
9
Graph the data

Answers

Answer: Attached graph in the explanation.

Step-by-step explanation:

Hi, to answer this question we have to graph points in a Cartesian coordinate graph.

The horizontal axis is called the x-axis, and the vertical axis is the y-axis.

To graph a point, first we have to locate its position on the x-axis, and then find its location on the y-axis, and finally plot where these meet.

For example, to plot the point (2, 3), we have to find the positive 2 on the x-axis and the positive 3 on the y-axis.

Finally when we have plotted all the points, we simply link all the points to form a line.

tons of points easy what is 9.5 x 19 equal

Answers

Answer: 180.5

9.5
X19.0
=180.5

Answer:180.5

Step-by-step explanation:

9.5 x 19

361/2=180.5

Simplify (x-5)-(x-1)

Answers

Answer:

-4

Step-by-step explanation:

→Distribute the -1 to (x - 1):

(x - 5) - (x - 1)

x - 5 - x + 1

→Add like terms (x and -x, -5 and 1):

-4

Answer:

-4

Step-by-step explanation:

(x-5)-(x-1)

x-5-x+1

x-x-5+1 = -4

Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Help Jeff plan the rest of the seating by solving for how many seats are in row 25. Then explain to Jeff how to create an equation to predict the number of seats in any row. Show your work, and use complete sentences.

Answers

Answer:

Its a sequence question so, you have to find the nth term.

Step-by-step explanation:

If there are 5 more seats, and first value is 12, then:

nth terms = 5n + 12

Try substituting n with 1 to check

Hope this helps

Morgan wants to save to buy a car and decides to open a banking account that is offering an interest rate of 4.5% compounded annually. How much will Morgan have in the account after 5 years if $7,000 is deposited today?

Answers

Answer:

He'll have approximately $8723.3 on his account in five years.

Step-by-step explanation:

Since the amount invested is compounded yearly, we can calculate the amount he'll have in 5 years by using the following expression:

[tex]M = C*(1 + r)^t[/tex]

Where M is the final amount, C is the invested money, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:

[tex]M = 7000*(1 + \frac{4.5}{100})^5\\M = 7000*(1 + 0.045)^5\\M = 7000*(1.045)^5\\M = 8723.274\\[/tex]

He'll have approximately $8723.3 on his account in five years.

Help……………………………………….

Answers

Answer:

The second option

Step-by-step explanation:

Adding n to the x inside of the parentheses moves the graph n units to the left

Answer:

5 units left. When looking at a translation of x inside of parentheses, it is the opposite of the sign. So x+5 becomes 5 to the left.

Step-by-step explanation:

Use the figure below to complete the following problem Given : R,S,T are midpoints of AC, AB, and CB.

Answers

Answer:

RT || AB

Step-by-step explanation:

The answer to your question is that segment RT is parallel to AB.

And for those of you who encounter AB || ?

The answer is RT.

Both questions are rewrites.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

R, S, and T are midpoints of AC, AB, and CB.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

A line is parallel to the right side if it divides any two triangles sides in a similar ratio.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

1. Make sure your answers and work is SHOWN please and steps are in order.
2. List all of the possible rational roots.
3. Use synthetic division to test the possible rational roots and factor as far as possible.
4. Identify complex roots, if possible.
5. Sketch a graph of the function, please show:
a. the end behavior correctly
b. the shape of the near x-int
c. (if possible) anything you can learn by considering symmetry and transformations.

1a. p(x)- 2x^4-3x^3-6x^2+5x+6

2a. p(x)= x^4 + 4x^3 + 13x^2 + 36x + 36

3a. p(x)= 2x^5 - 9x^4 + 6x^3 + 22x^2 - 20x - 25

Answers

Been a while since I've done synthetic division.

1a. Let's assume that's supposed to be an equals sign

p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6

possible rational roots have factors of 6 in the numerator and of 2 in the denominator.  We'll only worry about negative numerators.

Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6

Factors of 2: 1,2

Possible rational roots:

(dividing by 1:) 1,-1,2,-2,3,-3,6,-6

(dividing by 2:) 1/2, -1/2  (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2

Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2

Synthetic division, trying x=1,

   1 | 2  -3  -6  5  6

             2  -1  -7  -2

       2    -1  -7  -2  4

Got a remainder of 4, so 1 isn't a root;

Trying x=-1  

-1 | 2  -3  -6  5  6

         -2   5  1  -6

     2  -5  -1  6  0

Zero remainder, found a root, x=-1.  This division says

(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6

Same set of rational roots on the cubic, we continue with x=2

2 | 2 -5 -1 6

         4 -2 -6

    2  -1 -3 0

Another zero remainder, x=2 is a root.  We're left with 2x² - x - 3 = 0, which factors as

(2x - 3)(x + 1) = 0

That's a second factor of x+1.  Our final factorization is

2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)

Fourth degree with a positive leading coefficient so goes to +infinity at both ends.  Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.  

I'll leave the actually sketching and the other two polynomials to you -- that took some time.

PLZZZZZZZZZZZZZZZZZZZ ANSWER THIS QUESTION I WILLL MARK BRAINLIEST

Answers

Answer:

Okay, so, your picture kinda blurry but I'll still help you:

to find y intercepts you just see where the line crosses the y axis and write the coordinate down for each line.

To find the gradient, just pick two points on a line and do

1)the difference between both y axis points

2)the difference between the x axis points

and then divide 1) by 2) to get the gradient.

Hope this helps!!

Write each statement as an algebraic expression. The quotient of the square of a number n and the cube of n increased by 5.

Will get brainiest answer

Answers

Answer:

n² / (n³ + 5)

I need help please :((

Answers

Answer:

Function, passes the vertical line test

Step-by-step explanation:

The graph is a function.  The points have a one to one correspondences as demonstrated by the vertical line test.  Since only one point on the graph  is  touching a vertical line  at a time, it will pass the vertical line test

Solve for x 3x - 5 = 2x + 6.
01
O-1
O 11
0-11

Answers

Answer:

X= 11

Step-by-step explanation:

Move constant to the right side and change its sign

Given that 3x/8 = 9y/4, Find the ratio of x:y​

Answers

Answer:

1:6

Step-by-step explanation:

3x/8 = 9y/4

Multiply by 8

3x = 9y/4 *8

3x = 18 y

Divide by 3

x = 18y/3

x = 6y

The ratio is of x to y is

1:6

Answer:

Step-by-step explanation:

3x/8=9y/4

3x/2=9y

1.5x=9y

1.5x:9y

Here is a list of ingredients that
serves 4 people:
Bacon 50 g
Minced beef 450 g
Chopped tomatoes 400 g
Button mushrooms 100 g
Beef stock 125 ml
Marco is making a meal for 14 people using these ingredients.
Work out the number of grams of minced beef he needs.​

Answers

Answer: 1575 grams or 1.575 kgs

Step-by-step explanation:

For 4 people = 450 g of minced beef

For 14 people,

(14 * 450) / 4 = 1575 gms

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