There are 10 players on the swim team. How many ways can the coach
select 3 people to swim in the relay?

There Are 10 Players On The Swim Team. How Many Ways Can The Coachselect 3 People To Swim In The Relay?

Answers

Answer 1
A if it’s wrong hopes this helped
Answer 2

The coach can select 3 people to swim in the relay in 120 ways.

What is combination?

'In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter.'

According to the given problem,

Number of players = 10

Number of people to be selected = 3

We know,

[tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex] where, n = Total number of players

                                 r = Number of players to be selected

Number of ways to select 3 people out of 10 = [tex]^{10} C_{3}[/tex]

                                                                           = [tex]\frac{10!}{3!*7!}[/tex]

                                                                            = 120 ways

Hence, we can conclude, the coach can select 3 people out of 10 in 120 ways.

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Related Questions

In a summer camp there is a ratio of 24 girls to 16 boys. How many are there in a group in total? Express the ratio in 3 different ways.

Answers

Answer:

See the forms below

Step-by-step explanation:

Given data

24 girls to 16 boys

1. Proportion

24 Girls :16 Boys

2. Fraction form

=24/16

=3/2

3. Word form

24 girls to 16 boys

There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 3 8 . There are 21 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be.

Answers

Answer:

Number of milk chocolate in beg = 56

Step-by-step explanation:

Given:

Probability of randomly choosing a dark chocolate = 3/8

Number of dark chocolate = 21

Find:

Number of milk chocolate in beg

Computation:

Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate

Number of milk chocolate in beg = 21 / [3/8]

Number of milk chocolate in beg = 21[8/3]

Number of milk chocolate in beg = 7[8]

Number of milk chocolate in beg = 56

what is the range of the function graphed below?

i honestly have no idea please help

Answers

Answer:

C

Step-by-step explanation:

The range of a graph is how far the graph goes up and down. The lower boundary is easy, as we can see that the left side of the line goes down forever, so it is negative infinity. Looking at the top of the graph, we can see that the graph never goes past y=2. So the answer is:

-∞<y<2

it is definitely is c

x^(2)+x-20
splitting the middle term

Answers

Are you trying to factorise this?

Here is a way you may not have been taught....
(x + a)(x + b) = x^2 + (a + b)x + ab

So you need to find two factors of -20 that add up to +1
-4 x 5 = -20 and -4 + 5 = 1. Perfect

x^2 + x - 20 = (x - 4)(x + 5)

How can you solve for X in the proportion of7/8 equals X/24

Answers

Answer and Step-by-step explanation:

The last answer choice is correct.

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x

The process being used in the last answer choice is called Cross multiplication, and is used to find the unknown value in fractions.

[tex]\frac{7}{8}[/tex] × [tex]\frac{x}{24}[/tex]

7 × 24 = 8x

168 = 8x

21 = x

#teamtrees #PAW (Plant And Water)

Write an equation of the line that goes through the points (-2,-2) and (-4,-4).
PLEASE ANSWER

Answers

y=x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

Y=x

Step-by-step explanation:

it's a straight line passing by the center (0,0) at 45°

You can tell because Y is equal to X for every value of X and the points you posted fall in this case.

Pls urgent Will mark brainiest














Whats 2+2

Answers

Answer:

4 haha lol lol

Step-by-step explanation:

2+2 is 4 lol

m (slope) =
b ( y - intercept) =
x - intercept =​

Answers

Answer:

Step-by-step explanation:

m = - 2

b = 4

x - intercept = 2

Write the names of all the months that have 31 days​

Answers

Answer:

January, March, May, July, August, October, and December

Question 1 (1 point)

Find the probability of the pointer landing on a new house.

New Car

New House

60 120

$10,000

New Boat

Оа

1

6

Ob

1

3

Ос

60

Od

1

Ā

Answers

Answer:

[tex]P(New\ House) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

See attachment

Required

[tex]P(New\ House)[/tex]

This is calculated as:

[tex]P(New\ House) = \frac{New\ House}{Total}[/tex]

From the attachment, we have:

[tex]New\ House = 60^o[/tex]

[tex]{Total}= 360^o[/tex] --- total angle in a pie chart

Note that the measurements must be converted to degrees (if not already in degrees).

So, we have:

[tex]P(New\ House) = \frac{60}{360}[/tex]

Simplify

[tex]P(New\ House) = \frac{1}{6}[/tex]

The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?

Answers

Answer:

1140 square inches

Step-by-step explanation:

The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?

Area of a Trapezoid

= 1/2(b1 + b2)h

b1 =

b2 =

h =

Hence, 1/2 (50 + 45) × 24

= 1/2 × 95 × 24

= 1140 Square inches

What is the product?

Answers

Answer:

-10d⁴ + 17d²s - 6s²

Step-by-step explanation:

Multiply using FOIL

First

-2d² * 5d² = -10d⁴

Outer

-2d² * -6s = 12d²s

Inner

s * 5d² = 5d²s

Last

s * -6s = -6s²

-------------------------

Together

-10d⁴ + 12d²s + 5d²s - 6s²

Combine like terms

-10d⁴ + 17d²s - 6s²

what is the volume of a cylinder in cubic in with a height of 11in and a base diameter of 6in

Answers

Answer:

311.01 in^3

Step-by-step explanation:

Volume of cylinder = pi*r^2*h

Volume of cylinder = pi*9*11=311.01 in^3

How do you do this ?

Answers

Answer:

the answer is- g= 72/d minus f/d

Answer: g=72/d - f/d

Which of the following is true of the constructions of an equilateral triangle, a square, and a regular hexagon when they are inscribed in circles?

The diameter in the first step of the constructions divides each shape in half.
Three diameters are needed to construct each inscribed polygon.
The arc in step two of each construction divides the circle in half.
The line segments that form each shape are congruent to the diameter of the circle.

Answers

Answer:

the third option

Step-by-step explanation:

Answer: The domain for f(x) is all real numbers GREATER than equal to 3

Answers

Answer:A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

1075.21009

Step-by-step explanation:

hrs 45 min 67+ hrs 3. min 67​

Answers

Answer:

hrs 50   min 14

Step-by-step explanation:

hrs 45 min 67 = hrs 46 min 7

hrs 3. min 67​ = hrs 4 min 7

Total

  hrs 46 min 7

+   hrs 4 min 7

————————

 hrs 50   min 14

What is 1 5/7 - 1 2/5

Answers

Answer:

the answer to the question is = -9/35

What is the greatest common factor of 4 - 6а?

Answers

Answer:

GCF (4 ,6) = 2

Greatest common factor (GCF)

Step-by-step explanation:

Is 24 a possible output value? Why or why not? Describe the dominan of this function. Describe the range of this function

Answers

Answer:

No solution is possible

Step-by-step explanation:

You failed to provide the function.

This question cannot be answered,

No, 24 is not a possible output value.

The domains are -2, 0, 3, and 11.

The range is -1, 4, 14, and 38.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The function is given in the figure.

The outputs are -1, 5, 14, and 38.

The domain of the function is -2, 0, 3, and 11.

The range of the function is -1, 5, 14, and 38.

Thus,

24 is not a possible output value.

Domains are -2, 0, 3, and 11.

Range are -1, 4, 14, and 38.

Learn more about functions here:

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A storage tank has a radius of x + 5 metres and a height of x metres. Determine the dimensions of the tank if the volume is 192π m 3 . Round your answers to two decimal places.

Answers

Answer:

that is the procedure above

Omar's gas tank is 1/3 full. after he buys 9 gallons of gas, it is 5/6 full. How many gallons can Omar's tank hold?

Answers

Answer:

18 gallons

Step-by-step explanation:

First get a common denominator (6). So 3/6 are added to the tank when Omar buys 9 gallons of gas. That means for every 1/6, three gallons are added to the tank.

Two villages are 14km apart in real life. How far apart would they be on A map scale with 1:25000

Answers

Given:

Distance between two villages = 14 km

Map scale = 1:25000

To find:

The distance between the two villages on the map.

Solution:

Let the distance between the two villages on the map be x.

Map scale is 1:25000. So,

[tex]\dfrac{x}{14}=\dfrac{1}{25000}[/tex]

[tex]x=\dfrac{1}{25000}\times 14[/tex]

[tex]x=0.00056[/tex]

Therefore, the two villages are 0.00056 km apart on map.

What is the slope of the line

Answers

Answer:

-3

Step-by-step explanation:

y1-y2/x1-x2 = slope

Plug in coordinates (-1,0) and (0,-3)

-3-0/0-(-1)

-3/1

-3

Answer:

-3

Step-by-step explanation:

Pick two points on the line

(-1,0) and (0,-3)

You can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -3-0)/(0- -1)

    = (-3-0)/(0+1)

    = -3/1

    = -3

can someone help me with this math problem​

Answers

Answer:

150 degrees

Step-by-step explanation:

8x-10=3x+90

solve for x in calculater

x = 20

Substitute:

3(20)+90 = 150

Answer:

Step-by-step explanation:

8x - 10 = 3x + 90

5x - 10 = 90

5x = 100

x = 20

8(20) - 10 = 160 - 10 = 150

The y-values that a function approaches when the x-values are extremely large or extremely small. This is called the function's ​

Answers

Answer:

end behavior

Step-by-step explanation:

can someone help please, giving brainlist to anyone who answers <3

Answers

the function is the second one :)
(2) is correct based on the equation that it shows

From the graph of the function, determine the domain and the range.
A. Domain: (–4, –2] Range: (–3, 0)
B. Domain: (–4, 4) Range: [–3, 0]
C. Domain: [–4, –2] Range: [–1, 0)
D. Domain: (–4, 3] Range: (1, 0)

Answers

Answer:

Domain(-4,4) and Range:(-3,0)

Step-by-step explanation:

Because the graph goes through - 4 and 4

please help me and thank you :)

Answers

Answer:

x=8

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh  where b is the base and h is the height

16 = 1/2 (4) x

16 =2x

Divide each side by 2

16/2 = 2x/2

8 =x

The height is 8 units

PLEASE HELP ME WITH 27,28 and 29

Answers

27. 8
28. 15
29. 4
Step by step below
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