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 players can be on the field at once. The coach wants to make sure there is exactly one goalie on the field. How many ways can the coach choose a lineup of 11 players if exactly 1 player must be a goalie

Answers

Answer 1

Answer:

The coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.

Step-by-step explanation:

Since the varsity soccer team has 20 players, and three of the players are trained to be goalies while the remaining 17 can play any position, and only 11 players can be on the field at once, and the coach wants to make sure there is exactly one goalie on the field, to determine how many ways can the coach choose a lineup of 11 players if exactly 1 player must be a goalie the following calculation has to be made:  

3 x 17 ^ 10 = X

3 x 2,015,993,900,449 = X

6,047,981,701,347 = X

Therefore, the coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.


Related Questions

A. 49
B. 7
C. 17
D. 61

Answers

Answer:

B:17

Step-by-step explanation:

Because it logically is the only answer that makes sense.

49

Step-by-step explanation:

i dont even know tbh i just guessee

If the temperature at which a certain compound melts is a random variable with mean value 135°C and standard deviation 3°C, what are the mean temperature and standard deviation measured in °F? [Hint: °F = 1.8°C + 32.]

Answers

Answer:

The mean in ºF is of 275 and the standard deviation is of 37.4.

Step-by-step explanation:

We apply the conversion formula for both measures, the mean and the standard deviation.

Mean value 135°C

In ºF:

[tex]F = 1.8(135) + 32 = 275[/tex]

Standard deviation 3°C:

In ºF:

[tex]F = 1.8(3) + 32 = 37.4[/tex]

The mean in ºF is of 275 and the standard deviation is of 37.4.

Compare the steps to find the distance between two points on the coordinate plane by first using the Pythagorean Theorem and then using the Distance Formula.

PLEASE HELP WILL GIVE BRAINLIEST!!

DONT ANSWER WITH A FILE

Answers

The distance formula and the Pythagorean theorem can be used to find length and the distance where the distance formula is mainly for distance and the Pythagorean Theorem is for length.

Pythagorean Theorem:

c^2 = a^2 + b^2

c^2 = c^2

Sqrt c^2 = Sqrt c^2

c = c

Distance formula:

d = sqrt (x2 - x1)^2 + sqrt (y2 - y1)^2

d = sqrt x^2 + sqrt y^2

d = x + y

d = distance between two points


(This is the best I can do with no numbers provided, I hope this helps)

The length of each of the legs of an isosceles triangle is represented by the
expression 6x – 2 inches. The length of the base of the isosceles triangle is
represented by the expression 3x + 1 inches. The perimeter of the isosceles
triangle is 42 inches. What is the length of the base?

Answers

Answer:

10 inches

Step-by-step explanation:

6x-2+6x-2+3x+1=42

12x-4+3x+1=42

15x-3=42

15x=45

x=3

Plug x=3 into 3x+1

3*3+1

9+1=10

Length of base is 10 inches

Car = V-8 sedan Years driven = first through third Miles driven = 14,000 miles each year In dollars and cents, the total projected Federal and state taxes and fees using method 2 for three years would be $

Answers

Answer:

609

Step-by-step explanation:

Select the correct answer from each drop-down menu.
Josh is doing a group project for his statistics class. The group needs to carry out a survey and write a report on the results. They decide to focus on gathering data about
the sleep habits of students at the high school. There are 850 students at the high school, so Josh's group proposes this method for collecting the data,
Method: We will pass out a link for our survey to 100 students as they enter from the bus drop-off lane.
Is this an appropriate sampling method? Why or why not?
This
should
a good sampling method because the sample is
To increase randomization, Josh and his team

Answers

Answer:

This is not a good sampling method because the sample is only students who ride the bus. To increase randomization, Josh and his team should include students who use other entrances.

Step-by-step explanation:

Plato

Answer:

Is not

only students who ride the bus

include students who use other entrances

Step-by-step explanation:

all 3 correct on plato

NEED ANSWER ASAP TYY SO MUCH IN ADVANCE

Answers

Answer:

13.70

Step-by-step explanation:

a^2+b^2=c^2

a = side 1

b = side 2

c = hypotenuse

9.2^2 + b^2 = 16.5^2

272.25 - 84.64 = 187.61 =b^2

√187.61 = b = 13.697 = 13.70

Answer:

see I hope u understand

HELPPP QUICK PLEASEE IM BEGGING YOU!!!!!!!!!!

Answers

Answer: 2 1/2

Step-by-step explanation:

That is the answer

Answer:

2 1/2

Step-by-step explanation:

Look at the right-angled triangle ABC.

32°

The square fits exactly inside the triangle.
Work out the sizes of angles x, y and z.

Answers

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

he dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∠x + 90° = 180°

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

Paul and Tammy went out to dinner and the total of their meals was $37.85. Paul spent $12.55 less than what Tammy spent. How much did Paul spend?

Answers

Answer:

Paul spent $12.65

Step-by-step explanation:

Create a system of equations where p is how much Paul spent and t is how much Tammy spent.

p + t = 37.85

p = t - 12.55

Solve by substitution:

p + t = 37.85

(t - 12.55) + t = 37.85

2t - 12.55 = 37.85

2t = 50.4

t = 25.2

Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55

p = t - 12.55

p = 25.2 - 12.55

p = 12.65

So, Paul spent $12.65

Solve for x by factoring:
r2 – 10r + 21 = 0
I need help!
Pls!

Answers

I got 21/8 or 2.625 but I’m not very sure.

Which equation matches this graph?

Answers

Answer:

its the 3rd one

Step-by-step explanation:

Bcs i know

Which statement best explains conditional probability and independence?
When two separate events, A and B, are independent,
P(A and B) P(A).P(B)
P(BA)
P(B). This means that the
P(A)
P(A)
occurrence of event B first did not affect the probability of event A occurring next.
When two separate events, A and B, are independent,
P(A and B) P(A).P(B)
P(BA)
- P(B) This means that the
P(A)
P(A)
occurrence of event B first affected the probability of event A occurring next.
When two separate events, A and B, are independent,
P(A and B) P(A.P(B)
P(BA)
P(B)
P(A)
This means that the
PA
occurrence of event A first did not affect the probability of event B occurring next.
When two separate events, A and B are independent,
P(A and B) P(A).P(B)
P(BA)
P(B)
P(A)
P(A)
This means that the

Answers

Answer:

The answer of the question would be: C)

Step-by-step explanation:

When two separate events, A and B, are independent, P(A|B)=P(B). This means that the probability of event B occurring first has no effect on the probability of event A occurring next. Because of the evident independence.

WILL MAKE BRAINLIEST

find the slope of each line

Answers

Answer:

1) 7/3

2) Undefined

3) 1

4) 7/4

Step-by-step explanation:

Copy Mark charges $26 + 44 cents per copy to produce promotional brochures a royal linear equation that relates the cost c in dollars of copies to the number x of copies made and b how many brochures can Steve purchase if he had a budget of $76.16

Answers

Answer:

[tex](a)\ y = 26 + 0.44x[/tex]

[tex](b)\ 114\ copies[/tex]

Step-by-step explanation:

Given

[tex]Base\ Charge = \$26[/tex]

[tex]Rate = 44c[/tex] per copy

Solving (a): Linear Equation

The total charges (y) is: the base charge + the rate * number of copies (x).

So, we have:

[tex]y = 26 + 0.44 * x[/tex]

The 0.44 is 44 cents converted to dollars

[tex]y = 26 + 0.44x[/tex]

Solving (b): Purchase if he budgets $76.16

This implies that y = 76.16

So, we have:

[tex]y = 26 + 0.44x[/tex]

[tex]76.16 = 26 + 0.44x[/tex]

Collect like terms

[tex]0.44x = 76.16 - 26[/tex]

[tex]0.44x = 50.16[/tex]

Solve for x

[tex]x = \frac{50.16}{0.44}[/tex]

[tex]x = 114[/tex]

Isabella is bouncing a rubber ball that has a density of 1.5 ​ g/cm3 ​. The rubber ball has a volume of 113 cm³.
What is the mass of the rubber ball?

Answers

Answer:

The mass of the rubber ball is 169.5g

Step-by-step explanation:

we know that

The density is equal to the ratio of the mass by the volume

D=m/V

Solve for m

m=D*V

In this problem we have

V=113 cm^3

D=1.5 g/cm^3

substitute

m.1.5*113=169.5g

[4 + (3.5 × 10 – 7 × 2)] ÷ 5 A. 5 B. 24 C. 25 D. 46

Answers

Answer:

njkbjkb

Step-by-step explanation:

Answer:

A. 5

Step-by-step explanation:

4+(3.5)(10)−(7)(2) /5

Remove parentheses:

4+3.5*10-7*2/5

=[tex]\frac{25}{5}[/tex]

Divide the numbers:

[tex]\frac{25}{5}[/tex]=5

which transformation is represented by the rule (x,y) to (x-9, y+2)

Answers

Answer:

Translation 9 units to the left, and 2 units up

Step-by-step explanation:

Calculate the volume of the shape below:
of
10 m
25 m
16 m

Answers

Answer:

4,000

Step-by-step explanation:

Where’s the shape? That we need to calculate the volume for?

someone help me please! i will rewars brainliest! this is geometry​

Answers

Answer:

0.6

Step-by-step explanation:

Answer: 0.5

Step-by-step explanation:

Since the three portfolios are 20%, 30% and 50%, and the 20% and 30% are already there in the form of 0.2 and 0.3, then Z must be the 50%, or 0.5

Find the equation of the line that goes through the point (4, -3) and has a slope of 0.

Answers

Answer:

y = - 3

Step-by-step explanation:

A line with a slope of 0 is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (4, - 3 ) with y- coordinate - 3, then

y = - 3 ← equation of line

Solve the system of equations.
y = 4x
y= x^2+ 3

Answers

Answer:

x=3 and x=1

Step-by-step explanation:

find roots of the equation by equating 4x and x^2+3 to eachother

Kevin has a ratio of 2 wrong answers to 7 correct answers on his math test. If he got 6 questions wrong, then how many did he answer correctly

Answers

Answer:

21

Step-by-step explanation:

2:7 Ratio

Since he got 6 wrong it 6:?

6/2 = 3

3*7=21

6:21

He got 21 right

ILL GIVE BRAINLEST, please no links and show work :)

Answers

Answer:

80

Step-by-step explanation:

x + (2x-60) = 180

combine like terms

3x - 60 =180

add 60 to both sides

3x = 240

divide both sides by 3

x = 80

plug it back in to check

80 + (2(80) - 60 = 180

80 + (160 -60) = 180

80 + (100) = 180

180 = 180

The ordered pairs (20, -29.5),(21, -31), and (22, -32.5) are points on the graph of a linear equation. Which
of the following graphs show all of the ordered pairs in the solution set of this linear equation?

Answers

The graph that contains the 3 points is the bottom right graph.

Which line contains the 3 points?

We want to see which of the graphs contains the 3 ordered pairs:

(20, -29.5),(21, -31), and (22, -32.5)

So we just need to look at the graphs and see which one has these points, notice that as x increases y decreases, so we have a decreasing line.

The slope of the decreasing line is:

a = (-31 + 29.5)/(21 - 20) = -1.5

The graph with this slope is the last one (bottom right, the other decreasing line has a slope of -1). So that is the correct option.

If you want to learn more about lines:

https://brainly.com/question/1884491

#SPJ2

Will give brainlyist
The distance from New York City, New York, to Paris, France, is 3628 miles and the distance from New York City to London, England, is 3463 miles. Which distance is greater, and by how much?
A. The distance between New York City and London is greater by 65 miles.
B. The distance between New York City and Paris is greater by 65 miles.
C. The distance between New York City and Paris is greater by 165 miles.
D. The distance between New York City and London is greater by 165 miles.

Answers

Answer:

C. The distance between New York City and Paris is greater by 165 miles.

If you subtract 3628-3463 you get 165 miles

evaluate the algebraic expression 18 + (- 31) =

Answers

Answer:

-13

Step-by-step explanation:

Use the compass and ruler to construct the bisector of the angle given below.

Answers

Okay so I think you go south now give me ma points

During a 5% off sale Diego pays $74.10 for a new hockey stick what was the original price

Answers

Answer:

3.705

Step-by-step explanation:

do 5% of 74.10

tell me if you get it right!!! :)

From the figure below, Prove that segment JP is parallel to segment LM.
1. Slope of JP
(Write answer as a fraction. Ex 5/6. No spaces)
2. Slope of LM
(Write answer as a fraction. Ex 5/6. No spaces)
3. The two segments are Parallel or Perpendicular?
(spell out the correct
answer. No caps needed)

Answers

Answer:

1. Slope of JP is 2/3

2. Slope of LM is 2/3

3. The two segments are Parallel.

Step-by-step explanation:

1. Slope is easy to find out if you have a graph. Rise/Run is how I remember it. The only thing you have to do is count. If you count from P to J Down 2 unites, and left 3 units you get your answer.

2. Slope LM is the exact same as Slope PJ because they are parallel.

3They are parallel because they both have the same slope.

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