The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.

Answers

Answer 1

Answer:

A.) combination

B.) 167,960 ways

C.) 58,344 ways

Step-by-step explanation:

A.)

Choosing 11 players out of 20 available is a cbinationtuon problem simply because the order of choice of the 11 players does not matter on this scenario.

B.)

Here, the coach wants to select her 11 from all available 20:

We apply the combination formula :

nCr ; where ; n = 20 ; selection, r = 11

nCr = n! / (n-r)!r!

20C11 = 20! / 9!11!

20C11 = 167,960

C.)

1 goalie 10 players

1 goalie is selected from the 3 available goalies AND 10 players from the 17 available players :

This gives :

3C1 * 17C10

3C1 = 3

17C10 = 19,448

3C1 * 17C10 = 3 * 19448

= 58,344 ways


Related Questions

+12 POINTS: EMERGENCY HELP PLEASE 3D TRIGONOMETRY QUESTION THE PIC IS BELOW.

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Answer:

hope this helps you out

it's 21 a or b

you can choose witch one you want to use

Step-by-step explanation:

there is 2 possible answers

Answer by 11:59 today!!!

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Answer:

x = 30

Step-by-step explanation:

These angles are all supplementary (they all add up to 180) so:

x + 3x + 2x = 180

6x = 180

x = 30

Helo again answer for me

Answers

Answer:

The left side

182

does not equal to the right side

450

, which means that the given statement is false.

False

Step-by-step explanation:

mark as brainliest!!

Answer= 268

Reason:-

Let The Missing Number be x

x+308-126=450

x+182= 450

x=450-182

x=268

Hope This Helps You ❤️

plz solve below one question.is will mark the one brain list answer.​

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Answer:

tan023

Step-by-step explanation:

mark me brainliest

Question 54
Jonathan wants to fence off a rectangular area for his dog. He has 24 metres of fencin
he wants the largest possible area what should the dimensions of the fenced off area be​

Answers

Answer:

6 + 6 + 6 + 6= 24

Step-by-step explanation:

ad four sixes

The wheel of the Singapore Flyer is a circle with a diameter of 150 metres. Calculate the circumference of the wheel. Give your answer correct to the nearest metre.

Answers

Answer:

circumference is given by πd, where d is the diameter of the circle.

This implies, the circumference= 22/7*150m

=3300/7=471.429m

Which shows all the factor pairs of 27?

Answers

Answer:

The factors of 27 are 1, 3, 9, and 27 (๑・ω-)~♥”

Answer:

The factor of 27 are: 1, 27, 3, 9

Step-by-step explanation:

Given: F(x) = 2x 2 + 1, G(x) = 2x - 1, H(x) = x

F(x) + G(x) =

Answers

Answer:  2x(x+1)

Step-by-step explanation:

F(x) + G(x) =2x^2+1+2x-1

                 =2x^2+2x

                =2x(x+1)

Answer:

6x

Step-by-step explanation:

i am not quite sure why you have provided H(x), and i am assuming f(x) = 2x * 2 + 1

with that into consideration we can simplify f(x)

f(x) = 2x*2+1

= 4x+1

question -> f(x) + g(x)

= (4x+1) + (2x -1)

1 and -1 can get cancelled and 4x + 2x = 6x

thus the answer is 6x

helpppppppp plzzzzzzzzzzzzzzzzzzzz

Answers

fourteen square units

Answer:

14 sq units

Step-by-step explanation:

2 units by 7 units is 14 square units

There are about 18 chips in
one bag. Jackson used 2 2/5 bags for a recípe.
About how many chips did he use?

Answers

18 chips that he used

1. Gwen deposits $7,000 in a savings account with an annual interest rate of 2.5%. What function
represents the value of her account after x years? What will her balance be after 9 years?

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $7,000

Interest rate (i)= 2.5%

To calculate the future value after x years, we need to use the following formula:

FV= PV*(1 + i)^x

Now, for 9 years:

x= 9

FV= 7,000*(1.025^9)

FV=$8,742.04

Sara buys 4 candles for $12.25 each.
If she has a coupon for 15% off, and
tax is 8.5%, what is her final bill?

Answers

Answer:

$44.98

Step-by-step explanation:

12.25 x 4 = 49

if her coupon is 15% off then she pays 85% of 49, which is 41.65

8% tax added to 41.65 is, 41.65 × .08 = 3.33

total cost is 41.65 + 3.33 = 44.98

The ratio of the number of laps Tonya swam last week to the number of laps Randy swam last week is 3:10. If Randy swam 84 MORE laps last week, how many did Tonya swim?

Answers

Answer:

The number of laps Tonya swam last week were:

36 laps.

Step-by-step explanation:

To understand the ratio, you must know that 3:10 means that each time Tonya swam 3 laps, Randy swam 10 laps, by this reason, to identify the total number of laps you can divide the total difference given in the exercise (84 laps) into the difference indicated by the ratio (10 - 3 = 7 laps):

84 / 7 = 12

This number obtained is the number of times the ratio had to be met so that the difference in laps swam was 84. Now, you must multiply the obtained value (12) by the number of laps from Tonya given in the ratio (3):

Tonya's total number of laps = 12 * 3Tonya's total number of laps = 36 laps

As you can see, with the calculates, we obtained  36 laps in total. You could also do the iterations 12 times, subtracting the number of turns given by Tonya from the number of turns made by Randy and you would get the same result:

10 - 3 = 720 - 6 = 1430 - 9 = 2140 - 12 = 2850 - 15 = 3560 - 18 = 4270 - 21 = 4980 - 24 = 5690 - 27 = 63100 - 30 = 70110 - 33 = 77120 - 36 = 84

In the image, point A is the center of the circle. Which two line segments must be equal in length?

Answers

The answer is C (EF and HI)

This is because both lines pass through the centre A, meaning both are diameters. Hence, they are equal in length.

Yes invests $1500 that compounds interest monthly with a 4.5% rate. How much money will he have after the 12 years?

Answers

Answer:

FV= $2,571.41

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,500

Interest rate (i)= 0.045/12= 0.00375

Number of periods (n)= 12*12= 144 months

To calculate the future value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 1,500*(1.00375^144)

FV= $2,571.41

In a standard deck of 52 cards, what is the probability of drawing a club or a spade?
A: 25%
B: 50%
C: 100%

Answers

Answer:

B) 50%

Step-by-step explanation:

It says or so it includes both as a probability, since drawing one of the four suits is 25% adding them together would increase the probability for two either two suits to 50%

The answer is b since if you add them together they add up to 26 which is half of 52

Write each binomial square as trinomial [tex](x-1)^2[/tex]

Answers

x^2 −2 x+1 I hope that helps!

express the following as indicated. (1) 5 cm (in and km)​

Answers

Answer:

Convert in to cm and km to cm:

1 in = 2.54 cm ⇒ 1 cm = 1/2.54 in ⇒ 5 cm = 5/2.54 in ≈ 1.9685 in1 km = 100000 cm ⇒ 1 cm = 0.00001 km ⇒ 5 cm = 0.00005 km

1cm=0.4in

5cm

5(0.4)2in(Approx)

Exactly one cm is 3.39 .. in so answer will come around 1.96 which is almost 2

#2

1cm=0.00001km

5cm

0.00005km

Is it possible to boost your math average of 6-7 percent in a week of homework and participating.

Answers

yes just do everything and study and u'll do fine :)

depending on where you go, just last night alone i brought grades up to 70%

Does anybody know how to answer this? I need this to answer ASAP. Thank you in advance.

Answers

Answer:

hehehehhehehehhehehhjwhihtIUWEhrhjbqHJWRBHUqbhubHUWbfigabvUHIfbAHUbfjnBsjrBUHsbUHQBrhjzbnxbkzhsbhbJHzdb

Step-by-step explanation:

Work out the height of this triangle with base,
b = 8mm
and area,
A= 218.8mm2.

Answers

Answer:

54.7

Step-by-step explanation:

You have to devide 218.8 with the base
h= 218.8 devided by 8mm gives us 27.35 mm and if you multiply 8 by 27.35 it gives you the same answer for the area

GOTTA GRIND ON THIS SITE TO GET YOUR QUESTIONS ANSWERED!

Answers

Answer:

-8 or -5

Step-by-step explanation:

There is a positive correlation between number of TVs owned by a person, x, and the average life expectancy, y. What conclusion is TRUE? ​

Answers

Answer:

c

Step-by-step explanation:

i think this is right

Can y’all help me solve for K ?!

Answers

Answer:

Step-by-step explanation:

K+4 = 11;

k = 7

Answer:

B is true

Step-by-step explanation:

so use k+4=11 to solve that k+7

For which situation could flipping a coin be
used to generate a random sample?
A to predict if a machine will be
defective or not
B to predict student performance on an
exam
C to predict the number of peanuts in a
container
D to predict which of four players will
win a golf tournament

Answers

The answer is A! ———————-

One angle of an isosceles triangle measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply. 45, 65, 30,15.

Answers

Answer:

45°

Step-by-step explanation:

(180-90)/2 = 90/2 = 45°

The answer is 45°.

Step-by-step explanation:

Hey there!

Since it is an isoceles triangle two angles must be equal.

Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.

Then;

x+x+90° = 180° { Sum of interior angles of a triangle is 180°}

or, 2x + 90° = 180°

or, 2x= 180° - 90°

or, 2x = 90°

or, X= 90°/2

or, X=45°.

Therefore, the other angles are 45° and 45°.

Hope it helps!

Solve the equation. How old is Sam?

Sam's age doubled plus 5 is the same as Sam's age tripled minus 1.

Answers

Answer:

Step-by-step explanation:

let the sam's age be x

2x+5=3x-1

5+1=3x-2x

6=x

therefore sam's age is 6.

Answer:

6

Step-by-step explanation:

let age be = to x

2x + 5 = 3x - 1

-x = -6

x = 6

Help plz..And No links!! I repeat No links!!

Answers

Answer:

Step-by-step explanation:

36/16=90/r(since they are similar use this ratio)

do cross multiplication

16*90=36*r

1440=36r

1440/36=r

40=r

Answer:

[tex] \frac{36}{16} = \frac{90}{x} \\ x = 40 \: mm[/tex]

What is the solution?

A. (6, 1)

B. (2, -1)

C. (0, -2)

D. (-2, 7)

Answers

Answer:

solution of what ? you mean the crossing point of both lines ?

that is (6,1) as the graph shows

Step-by-step explanation:

you can see x=6 and y=1.

that is then the point (6,1).

we could also define the equations of both lines and then calculate the value of x, where both equations deliver the same (y) value.

but for that we would need to get the (x,y) coordinates of the 4 marked points in the same way we got them for the crossing point already. waste of time and effort.

may answer this pls whats 298+738

Answers

Answer:

1036

Step-by-step explanation:

Answer:

1036

Step-by-step explanation:

298 + 738 = ?

→ 298 + 738

→ 1036

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