A swim team must be chosen from 10 candidates. What is the greatest number of different four-person teams that can be chosen?

Answers

Answer 1

Answer:

There are a total of 210 different four-person teams that could be chosen.

Step-by-step explanation:

In order to calculate the greatest number of different four-person teams we need to calculate the combination of 10 people taken four by four as shown below:

[tex]C_{10,4} = \frac{10!}{4!(10 - 4)!}\\C_{10,4} = \frac{10!}{4!*6!}\\C_{10,4} = \frac{10*9*8*7*6!}{4!*6!}\\C_{10,4} = \frac{10*9*8*7}{4*3*2}\\C_{10,4} = \frac{5040}{24} = 210[/tex]

There are a total of 210 different four-person teams that could be chosen.


Related Questions

Bubba Bulldog and all of his dog friends love to hide bones! Bubba hid 444 bones, Barry hid 555 bones, Larry hid 101010 bones, and Goby hid 131313 bones. Find the mean number of dog bones. 20 POINTS PLEASE HELP

Answers

Answer:

58,330.5

Step-by-step explanation:

To get the mean of something, you add all the numbers then divide it by the number of things added. I added them all, then divided by 4 to get 58,330.5

Hope this helps GL on the rest of your Khan Academy! :)

Answer:

The correct answer is 8

Step-by-step explanation:

translate into an algebraic expression: x is increased by 50% and decreased by 30% . What is the result?

Answers

Answer:

x+4/5x

Step-by-step explanation:

x is increased by 80% 0f it self

80%of x= 4/5x

... x+4/5x

**BRAINLIEST IF ANSWERED*****
Circle P has a radius of 5.
What is its exact circumference?
5pi
10 pi
15pi
20pi​

Answers

Answer:

The answer is 10pi

Step-by-step explanation:

Circumference of a circle is 2πr

where r is the radius

radius = 5

Circumference of circle P is

2π × 5

= 10π

Hope this helps you

3
4
5
The table represents a function.
What is f(-2)
f(x)
-3
3
-1
x
-6
-2
0
3
1
0 1
4
-2
3

Answers

Answer:

The answer is option D.3

Step-by-step explanation:

From the table above f(-2) = 3

Hope this helps you



1. 

Which of the following equations is equivalent to 1.43p + 2.2= -4.001 use photo for choices ​

Answers

Answer:

1430p + 2200 = -4001

Step-by-step explanation:

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

ANSWER A

Step-by-step explanation:

Answer:

it has a horizontal asymptote at y=O

Step-by-step explanation:

answer is A.

because A linear parent function is the equation y = x or f(x) = x.

If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.

HELP ASAP FUNCTIONS!!!!

Answers

Answer: A) y is less than or equal to 5

Step-by-step explanation:

This graph portrays a ray that starts at five and moves down forever.  It never stops decreasing, so there is no limit to how low it can go.  It also never goes above five, thus the <5

Answer:

A. y (is less than or equal to 5)

Step-by-step explanation:

The point starts at y-5 and there is a ray going downwards. the y value will never be greater than 5 if the line is going down.

rearrange to make x the subject t=bx/3

Answers

Answer:

x = 3t/b

Step-by-step explanation:

Step 1: Multiply both sides by 3

t = bx/3

3t = bx

Step 2: Divide both sides by b

3t/b = x

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?

Answers

The answer is 9.8 m/s2

Answer:

B.  9.8 m/s^2

Step-by-step explanation:

I got it correct on edg2020

ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una

Answers

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

2 kg por encomiendaOfertamos la fracción que representa cada una en el total:

kg por encomienda/total de kg

2/8 x 1/4


Please answer this question fast in two minutes

Answers

Answer:

(8, -7)

Step-by-step explanation:

QR, R= (-2, -1)

M= (3, -4)

Q= ?

--------

3= (-2+x)/2 ⇒ x= 6+2= 8-4= (-1+y)/2 ⇒ y= -8+1= -7

Q= (8, -7)

Please answer quick!!

Answers

Answer:

mBC = 96°

mB = 55°

mC = 77°

mAB = 154°

Step-by-step explanation:

The angle mB inscribes the arc mAC, so we have:

[tex]mB = mAC / 2[/tex]

[tex]mB = 110 / 2 = 55\°[/tex]

The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:

[tex]mA + mB + mC = 180[/tex]

[tex]48 + 55 + mC = 180[/tex]

[tex]mC = 180 - 48 - 55[/tex]

[tex]mC = 77\°[/tex]

Using again the property of inscribed angles, we have:

[tex]mAB = 2*mC = 154\°[/tex]

[tex]mBC = 2*mA = 96\°[/tex]

Can someone explain this to me I need help T_T

Answers

Answer: 6,800,000 people

Step-by-step explanation:

We are looking for the number of people, not the percentage of wealth that has been made up by the people.

2% of the people are the richest in the United States, and there are 340,000,000 people in total in the United States.

2% = 0.02

340,000,000 * 0.02 = 6,800,000

I hope this was helpful! :)

What are the coordinates of the point that partitions AB according to the part-to-part ratio 4:3?

Answers

Answer:

(-1,0)

Step-by-step explanation:

Here, our interest lies in finding the coordinates that splits the points (-5,-8) and (2,6) in the ratio 4:3. Let the point that does the splitting be called point P

The section formula is used here and the point we are having would be;

P = (mx2 + nx1)/(m+n) , (my2 + ny1)/(m + n)

From the question;

m = 4 and n = 3

x1 = -5, y1 = -8

x2 = 2 , y2 = 6

Plugging these values in the equation above, we have;

P = [4(2) + 3(-15)](3+4), [4(6) + 3(-8)]/(3+4)

P = (8-15)/7, (24-24)/7

= -7/7, 0/7

= (-1, 0)

The coordinates of point P is (-1,0)

What is the equivalent radian measure of 540°?
1
radians
3
radians
radians
3
3x radians
DONE

Answers

Answer: 3π

I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.

Step-by-step explanation:

To convert from degrees to radians, you multiply by π/180.

[tex]540*\frac{\pi }{180} =3\pi[/tex]

What is the order of this from least to greatest. 4.37, 5.844, 5 21/25,117/20

Answers

21/25, 4.37, 5, 5.844, 117/20

Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 500 eggs and 900 cups ofcream. How many quarts of each flavor should you make in order to use up all the eggs and cream?

Answers

Answer:

in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

Creamy vanilla x = 200 quarts

Continental mocha y = 100 quarts

Step-by-step explanation:

Let x and y represent the number of quarts of Creamy Vanilla and Continental Mocha that should be made in order to use up all the eggs and cream respectively.

For Creamy Vanilla go 2 eggs and 3 cups of cream

For Continental Mocha go 1 egg and 3 cups of cream.

Total number of eggs = 500 eggs

Total number of cream cups = 900 cups.

For the eggs;

2 eggs × x + 1 egg × y = 500

2x + y = 500 .......1

For the cream cups;

3 cups × x + 3 cups × y = 900

3x + 3y = 900

Dividing through by 3

x + y = 300 .......2

Solving the simultaneous equation;

Subtracting equation 2 from 1

(2x + y) - (x+y) = 500-300

2x -x = 200

x = 200

Substituting x = 200 into equation 2;

200 + y = 300

y = 300 - 200

y = 100

Therefore, in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

Creamy vanilla x = 200 quarts

Continental mocha y = 100 quarts

What are the zeros of f(x) = x(x - 9)?
A. X = 0 only
B. X = 0 and x = -9
O
C. x = 9 only
O D. x = 0 and x = 9

Answers

Answer: D

Explanation:

x(x-9) = 0

=> x = 0

=> x-9 = 0
=> x = 9


???????????????????????

Answers

Answer:

D is the answer

Step-by-step explanation:

because it has high probability of success 70 %

so

Find m∠V. Struggling in geometry! Help plz :/

Answers

Answer:

16 degrees

Step-by-step explanation:

74 + 90 = 164

180-164 = 16

The answer is 16.

Both triangles are congruent so that means Angle T is 74 degrees. There is also a right angle which means there is 90 degrees in that angle. A triangle always has 180 degrees so add 74+90 which is 164. Then subtract 180-164=16
Good luck :)

he salad contains fruits and vegetables. There are at most 8 pounds of fruits and vegetables in the salad. Write the system of inequalities to represent this situation.

Answers

Answer:

The system of inequalities to represent this situation is [tex]x+y \leq 8[/tex]

Step-by-step explanation:

Let the amount of fruits be x pounds

Let the amount of vegetables be y pounds

We are given that There are at most 8 pounds of fruits and vegetables in the salad.

This means that there are less than or equal to 8 pounds of fruits and vegetables in the salad.

So,[tex]x+y \leq 8[/tex]

Hence the system of inequalities to represent this situation is [tex]x+y \leq 8[/tex]

I need help with this one I’m stuck on it.

Answers

Answer:4.5

Step-by-step explanation:


Create a rectangle around the parallelogram. The dimensions of this rectangle are .

Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is square units.

Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is square units.

Answers

Answer:

First drop down: 11 by 20

Second drop down: 110

Third drop down: 110

The new coordinates of the rectangle will be A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) .

What is a parallelogram?

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given, a parallelogram with the dimension of A(-3, -1), B(7, 9), C(8, -1), and D(-2, -11)

The rectangle around the parallelogram will cover the parallelogram with horizontal and vertical lines,

Thus the new coordinates of the rectangle will be:

A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) as shown in the figure,

Learn more about parallelograms here:

https://brainly.com/question/29147156

#SPJ3

Complete question:

Use completing the square to solve for x in the equation (x-12)(x+4x)=9.

Answers

Answer:

x = 6 + 3 sqrt(21/5) or x = 6 - 3 sqrt(21/5)

Step-by-step explanation:

Solve for x over the real numbers:

(x - 12) (x + 4 x) = 9

(x - 12) (x + 4 x) = 5 x (x - 12):

5 x (x - 12) = 9

Divide both sides by 5:

x (x - 12) = 9/5

Expand out terms of the left hand side:

x^2 - 12 x = 9/5

Add 36 to both sides:

x^2 - 12 x + 36 = 189/5

Write the left hand side as a square:

(x - 6)^2 = 189/5

Take the square root of both sides:

x - 6 = 3 sqrt(21/5) or x - 6 = -3 sqrt(21/5)

Add 6 to both sides:

x = 6 + 3 sqrt(21/5) or x - 6 = -3 sqrt(21/5)

Add 6 to both sides:

Answer: x = 6 + 3 sqrt(21/5) or x = 6 - 3 sqrt(21/5)

if you graph the system of Inequalities given below, which points would lie in the solution set? Select all the correct answers.
x-y2-4
2x-ys 5
2y+ x>1

Answers

Answer:

(-1,3)

Step-by-step explanation:

we need to replace the values x and y for every point and see if the point satisfies all the inequations.

Point (-2,3):

x - y ≥ -4

-2 - 3 ≥ -4

-5 ≥ -4

Then, -5 is not greater than -4, so that point is not a solution.

Point (-1,3):

x - y ≥ 4                      2x - y ≤ 5                2y + x > 1

-1 - 3 ≥ 4                     2(-1) - 3 ≤ 5             2(3) + (-1) > 1

-4 ≥ -4                        -5 ≤ 5                            5 > 1

Then, (-1,3) is a solution

Point (0,0):

x - y ≥ 4                      2x - y ≤ 5                2y + x > 1

0 - 0 ≥ 4                      2(0) - 0 ≤ 5             2(0) + (0) > 1

0 ≥ -4                           0 ≤ 5                            0 > 1

Then, 0 is not greater than 1, so that point is not a solution.

Point (2,-2):

x - y ≥ 4                      2x - y ≤ 5              

2 - (-2) ≥ 4                  2(2) - (-2) ≤ 5          

4 ≥ -4                           6 ≤ 5                    

Then, 5 is not greater than 6, so that point is not a solution.

Determine the unknown side lengths’ to the nearest tenth. for the first question and also please help with question 6

Answers

Answer:

z =15cm and

y=9.0cm

Step-by-step explanation:

Use sine rule

12/ sin53 = z / sin 90

Z = 12 x sin 90 / sin 53

Z = 15cm

To find y the angle opposite to y will be 180-(90+53)=37º

So

15/sin 90= y/sin37

y= 15 x sin37 /sin 90

y = 9.0cm

***#BRAINLIEST IF ANSWERED***
Segment QR is tangent to circle P at point Q. What is the measure of
angle PQR? *

37°
53°
90°
97°​

Answers

Answer:

90

Step-by-step explanation:

its a right angle

Which two consecutive whole numbers does 39 lie between? Why?
5 and 6 because 39 falls between 52 = 25 and 62 = 36.
4 and 6 because 39 falls between 42 = 16 and 62 = 36.
6 and 7 because 39 falls between 62 = 36 and 72 = 49.
5 and 7 because 39 falls between 52 = 25 and 72 = 49​

Answers

Answer:

Step-by-step explanation:

6 and 7

x=4y+7 2x-6y=12 System of equations using substitution

Answers

Answer:

x=3, y=-1

Step-by-step explanation:

We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation

2x-6y=12

We substitute 4y+7 in place of x

2(4y+7)-6y=12

Now we only have one variable to work on, distribute the 2

8y+14-6y=12

Combine similar terms, 8y-6y=2y

2y+14=12

Subtract 14 from both sides

2y=-2

y=-1

Now we plug in -1 for y in the first equation to find x

x=4(-1)+7

x=-4+7

x=3

The required solution of the given system of equations are x = 3 and y = -1.

What is the equation?

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The given system of equations is below as:

x = 4y + 7      ....(i)

2x - 6y = 12   ....(ii)

To solve the equations, use the substitution method.

Substitute the value of equation x = 4y+7 in (ii), and solve for y

2(4y + 7) - 6y = 12

8y + 14 - 6y = 12

8y - 6y = 2y

2y + 14 = 12

Subtract 14 from both sides of the equation

2y = -2

y = -1

Substitute the value of y = -1 in (i), and solve for x

x = 4(-1) + 7

x = -4 + 7

x = 3

Thus, the required solution of the given system of equations are x = 3 and y = -1.

Learn more about the equation here:

brainly.com/question/10413253

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What is the area of triangle qrs?

Answers

Answer:

area=HbB/2

hope you understand

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