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.
(a) We want to find the number of possible groups of 11 players the coach can choose. Is this a
permutation or a combination?
(b) If the coach wanted to choose her 11 starters at random by drawing names from a hat, how many possible groups of 11 starters could she choose?
(c) 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?

6.28 = Question 11

and i can not solve for 12 sorry

Answer:

Question 11- 6.28 yards square

Answer:

Whats the question and if its adding the answer is 790.12

Step-by-step explanation:

Also, if you could answer my question that'dd be great!

Answer:

B-10⁰

Step-by-step explanation:

5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰

Answer:

Step-by-step explanation:

4²=16

5²=25

so √24 is between 4 and 5.

Answer:

Total cost= $86.25

Step-by-step explanation:

Giving the following information:

Discount= 10%

Nill= $82.5

Tip= 15%

First, we need to calculate the discounted price:

Discount price= 82.5 / 1.1= $75

Now, the tip:

Tip= 75*0.15= $11.25

Finally, the total cost:

Total cost= 75 + 11.25

Total cost= $86.25

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

y=-20.85

The two numbers are 143/20 and 423/20.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the difference between two numbers is 14.

Let the smaller number be x and the larger number be y.

Here, y-x=14 ------------(i)

If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.

1/3 of larger number is 1/3 y

x-y/3 =1/10 ------------(ii)

From equation (i), substitute y=14+x in equation (ii), we get

x-(14+x)/3 =1/10

10(3x-14-x)=3

30x-140-10=3

20x-140=3

20x=143

x=143/20

Substitute x=143/20 in equation (i), we get

y-143/20=14

y=14+143/20

y=(280+143)/20

y=423/20

Therefore, the two numbers are 143/20 and 423/20.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ3

Answer:

4/7 = 8/14

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]

cross multiply

8x = 14 x 4

8x = 56

x = 7

Answer:

16 2/25

Step-by-step explanation:

1608 / 10^2

1608/100

16 8/100

16 4/50

16 2/25

Answer:

1.608

Step-by-step explanation:

1608 ÷ 1000 = 1.608

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°

Answer:

I believe it is C

Step-by-step explanation:

Sorry if I got it wrong but hopefully you got it right

Answer:

its    -$3.17

Step-by-step explanation:

500-5=495

200-5=195

the remainder of the tickets is -$5

the expected value is $495 x 1/600 + $ 19583/600 + (-$5) 596/600= -$3.17

Answer:

there should be 4 points below the trend line

Step-by-step explanation:

4

Answer:

y = -2/3x - 3

Step-by-step explanation:

y = -2/3x + b

-1 = -2/3(-3) + b

-1 = 2 + b

-3 = b

y = -2/3x - 3

9514 1404 393

Answer:

Step-by-step explanation:

As in any "solve for" situation, you "undo" what is done to the variable.

Here, (for 3 of the 4 problems) the variable is ...

We undo these operations in reverse order. First, we add the opposite of the added constant. Then we divide by the coefficient of x². Finally, we take the square root to "undo" the squaring operation.

1. 4x² -30 = 22 . . . . . . given

  4x² = 52 . . . . . . . . . add 30 to both sides

  x² = 13 . . . . . . . . . . . divide both sides by 4

  x = ±√13 . . . . . . . . . take the square root. Both signs are solutions.

__

2. 3x² +4 = 166 . . . . . given

  3x² = 162 . . . . . . . . add -4 to both sides

  x² = 54 . . . . . . . . . . divide both sides by 3

  x = ±√54 . . . . . . . . take the square root. 54 = 3²·6 has a square factor

  x = ±3√6 . . . . . . . simplified result

__

3. (1/3)x² +14 = 36 . . . . given

  (1/3)x² = 22 . . . . . . . . add -14 to both sides

  x² = 66 . . . . . . . . . . . multiply both sides by 3

  x = ±√66 . . . . . . . . take the square root

__

4. The same "undo" idea applies. Here, we can start with the square root.

  (x -4)² = 16 . . . . . given

  x -4 = ±4 . . . . . . . square root

  x = 4 ± 4 . . . . . . add 4 to both sides

This means x = 4-4 = 0, or x = 4+4 = 8.

The solutions are x = 0, x = 8.

Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \sqrt{x - 3}[/tex]

[tex]\displaystyle y' = \frac{1}{2}[/tex]

Step 2: Differentiate

Step 3: Solve

Find coordinates

x-coordinate

y-coordinate

∴ Coordinates of Point N is (4, 1).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].

Step-by-step explanation:

A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].

Answer:

A.

Step-by-step explanation:

i pretty sure

Answer:

1 1/5 in fraction form :))

Answer: 6472

Step-by-step explanation:

You have to multiply and add

Answer:

C) 24>x

Step-by-step explanation:

The inequality is just turned around. 24>x is thw same thing as x<24.

Hope this helped :)

Answer:

D

Step-by-step explanation:

x+3≥12

<=> x≥8

so 8 is less than x

x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)

Answer:

x = 4 units

Step-by-step explanation:

By geometric mean theorem:

Length of perpendicular

[tex] =\sqrt{2\times 6}[/tex]

[tex] =\sqrt{12}[/tex]

Next, by Pythagoras theorem:

[tex] x^2 = 2^2 + (\sqrt {12})^2 [/tex]

[tex] \therefore x^2 = 4 + 12 [/tex]

[tex] \therefore x^2 = 16 [/tex]

[tex] \therefore x =\sqrt{ 16 }[/tex]

[tex] \therefore x =4\: units[/tex]

I'm fully sure but maybe you add 12+40

Answer:

B

Step-by-step explanation:

Area = length times width, in this case, both length and width is x.

While 5 and 2 are the lengths and widths for the unshaded part.

x^2 = whole square

x^2 - (5)(2) = area of shaded region

Answer:

7/12

Step-by-step explanation:

How gar Jenna travelled = 1/3 + 1/4

[tex]\frac{1}{3} + \frac{1}{4}[/tex]

[tex]\frac{4 + 3}{12}[/tex] = [tex]\frac{7}{12}[/tex]