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

Can someone check this answer before i turn it in?? don't say yes just to get points i really need to pass this

I got 3141.59 on a calculator after doublechecking but it doesn't seem right

Answers

Answer:

ya its right

Step-by-step explanation:

that is the right answer

the coefficient in the term 7xy is​

Answers

Answer:

The coefficient is 7

Step-by-step explanation:

The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.

John needs 6 cups of ice cream to make 4 servings of milkshake. How many servings can John make using 3 gallons of ice cream?

Answers

Answer:

24

Step-by-step explanation:

-------- 24 --------

Hope that helps

You have found a house that you would like to purchase. The amount of the home is $525,000. You would like to finance the home through your local credit union but they require a 8% down payment. Determine the amount needed for the down payment so that the bank will finance the home purchase.

Answers

Answer:

4200

Step-by-step explanation:

hey! 525,000%8=42=>4200

6. Write an equation that represents the
relationship “4 more than a number is 5"?

Answers

Answer:

4+x=5

Step-by-step explanation:

4+x=5

A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9 in

Answers

Answer:

82.8 in²

Step-by-step explanation:

The surface area a triangular based pyramid :

Base area + 1/2(perimeter * slant height)

Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches

Base area of triangle :

1/2 * base * height

1/2 * 8 * 6.9

4 * 6.9

Base area = 27.6 in²

The perimeter, P = sum of sides ; (s1 + s2 + s3

P = 8 + 8 + 8 = 24 in

Hence,

Surface area = 27.6 in² + 1/2(24*4.6)

Surface area = 27.6 in² + (12 * 4.6) in²

Surface area = (27.6 + 55.2)

Surface area = 82.8 in²

Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 1 3 π r 2 h

Answers

Answer:

Step-by-step explanation:

ASAP need help!!
vvvv

Answers

Answer:

Step-by-step explanation:

5  5 5 m²

The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.

4-column table with 3 rows. First column has no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. The second column is labeled less than 40 dollars a week with entries 33, 27, 60. The third column is labeled greater than or equal to 40 dollars a week with entries 77, 3, 80. The fourth column is labeled total with entries 110, 30, 140.

Marcel converts the frequency table to a conditional relative frequency table by row.

4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0

Which value should he use for Y? Round to the nearest hundredth.

0.19
0.45
0.82
0.90

Answers

Answer:

D.) 0.90

Step-by-step explanation:

Doing the unit test review on EDG right now! :D

Wish you all luck~

Have a good day! :3

(Evidence: screenshot below!)

The value for Y to the nearest hundredth is 0.90; option D.

What is the value for Y?

The value for Y is obtained from the data in the frequency table.

By solving for Y from the frequency table:

Y + Z = 0

Y + Z = 1.0

Either Y is 0 or Y is 1.

Therefore, Y is approximately 0.90 to the nearest hundredth.

Learn more about frequency table at: https://brainly.com/question/16148316

#SPJ9

please help! I need to solve kt algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!

Answers

Step-by-step

=> 900=-100x+300

=> -100x+300=900

=> -100x=900–300

=> -100x=600 divide both side by -100

=> x=-6

You start with  900= -100x + 300

you want to get x by itself on a side of the equation

you can do this by adding -100x to both sides of the equation

this would make it look like 900 + 100x = -100x + 100x + 300

if you simplify, you get 900 + 100x = 300

then subtract 900 on both sides to get x by itself

you will end up with 100x = -600

you divide both sides by 100 to get x by itself and you will end up with

x = -6

if you have any questions ask me and ill answer :)

When solving a system of inequalities or just an inequality (like 2-4y > 14), in what condition the sign flip to the other way?

Answers

Answer:

When the coefficient of the variable is negative, as shown below,

Step-by-step explanation:

2-4y>14

-4y>14-2

-4y>12, divde through by - 4

y>-3

Si 4x+2x=2, el valor de x es?

Answers

Answer:

answer is 1

Step-by-step explanation:

Answer:

[tex]x = \frac{1}{3} [/tex]

Step-by-step explanation:

Recopilar términos semejantes:

[tex]6x = 2[/tex]

Divide ambos lados de la ecuación por 6:

[tex] \frac{6x}{6} = \frac{2}{6} [/tex]

Por lo tanto, la respuesta será x = 1/3

42 is greater than 24, 24 is less than 42

Answers

Answer:

Step-by-step explanation:

42 > 24

24 < 42

Convert 3.12 mm into cm, m and km.​

Answers

Step-by-step explanation:

to cm = 3.12×100 = 312

to m = 3.12×1000 = 3120

:) HOPE THIS HELPS YOU

Can someone help me please

Answers

Answer:

its the 1st answer choice/A

Step-by-step explanation:

there is 10 people who are 25-29, and 5 people 20-24, so 10+5=15 so 15 people are younger than 30

Paisley is going to invest in an account paying an interest rate of 3.4% compounded
daily. How much would Paisley need to invest, to the nearest dollar, for the value of
the account to reach $400 in 16 years?

Answers

Answer:

232

Step-by-step explanation:

Help me pls :/
15 points ig

Answers

Answer:

D. 17/7

Step-by-step explanation:

Let's make 2 3/7 into an improper fraction. We first multiply the 2 to 7 and then add the 3. So 2 x 7 = 14, 14 + 3 = 17. The denominator always stays the same. Therefore our answer is 17/7

Answer:

D:17/7

Step-by-step explanation:

2×3/7

=(7×2+3)/7

=17/7

Find the area of the triangle

Answers

Answer:

Step-by-step explanation:

area of triangle=base*height/2

=8*3/2

=24/2

=12 m^2

The product of four and a number, decreased by seven

Answers

Answer:

32

Step-by-step explanation:

As per what is given

- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)

- equals 100, the equation formed equals 100

Form an equation;

4(x - 7) = 100

Solve using inverse operations;

4(x - 7) = 100

  /4        /4

x - 7 = 25

  +7     +7

x = 32

I JUST NEED SOME HELP PLEASE!! ~0~

Find the RATIO and the EXACT VALUE of the given Tan B.​

Answers

Answer:

Ratio: Tan B = 12/5

Exact value in degrees: [tex]67.38^{o}[/tex]

Step-by-step explanation:

SOH CAH TOA

Means Tan B  means opposite/adjacent.

Tan B = 12/5

B = [tex]Tan^{-1} (\frac{12}{5})\\[/tex]

B = [tex]67.38^{o}[/tex]

Scores on the SAT Mathematics test (SAT-M) are believed to be Normally distributed with mean µ. The scores of a random sample of three students who recently took the exam are 550, 620, and 480. A 95% confidence interval for µ based on these data is

Answers

Answer:

The 95% confidence interval for µ based on these data is (408,692).

Step-by-step explanation:

Sample mean and standard deviation:

The first step to solve this question is finding the sample mean and standard deviaton.

[tex]\overline{x} = \frac{550+620+480}{3} = 550[/tex]

[tex]s = \sqrt{\frac{(550-550)^2+(620-550)^2+(480-550)^2}{3}} = 57.1548[/tex]

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 3 - 1 = 2

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 4.3027

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 4.3027\frac{57.1548}{\sqrt{3}} = 142[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 550 - 142 = 408

The upper end of the interval is the sample mean added to M. So it is 550 + 142 = 692

The 95% confidence interval for µ based on these data is (408,692).

What is the value of this expression n = 5? 45/n +10

Answers

Answer:

19

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

45/5=9

9+10=19

Need help on this question asap I would really appreciate it please

Answers

Answer:

Volume of cube = 512 inch³

Volume of sphere = 268 inch³ (Approx.)

Volume of empty space = 244 inch³

Step-by-step explanation:

Given:

Side length of cube = 8 inches

radius of sphere = 4 inches

Find:

Volume of cube

Volume of sphere

Volume of empty space

Computation:

Volume of cube = Side³

Volume of cube = 8³

Volume of cube = 512 inch³

Volume of sphere = (4/3)πr³

Volume of sphere = (4/3)(3.14)(4)³

Volume of sphere = 268 inch³ (Approx.)

Volume of empty space = Volume of cube - Volume of sphere

Volume of empty space = 512 - 268

Volume of empty space = 244 inch³

Find one value of xxx that is a solution to the equation:
(2x+3)^2-6x-9=0(2x+3)
2
−6x−9=0left parenthesis, 2, x, plus, 3, right parenthesis, squared, minus, 6, x, minus, 9, equals, 0
x=x=x, equals

Answers

Answer:

-3/2

Step-by-step explanation:

Given the funtion

(2x+3)² - 6x+9 = 0

(2x+3)² = 6x + 9

Expand

4x²+12x+9 = 6x + 9

4x²+12x - 6x = 0

4x²+6x = 0

4x² = -6x

4x = -6

x = -6/4

x = -3/2

Hence the value of x is -3/2

Quadratic equation I need help

Answers

The answer to this question is 4; it is (2,-16) because it is the vertex of this quadratic formation. It is the lowest point making it the minimum as it is facing upwards

Select all the expressions which are equivalent to –43
4
3
p – 25
2
5
.
–43
4
3
p + 25
2
5
–25
2
5
– 43
4
3
p
43
4
3
p – 25
2
5
–43
4
3
p + (–25
2
5
)
25
2
5
+ 43
4
3
p

Answers

Answer:

–43p + (–25)  is  Equivalent to  –43p – 25.

Step-by-step explanation:

Needed: 25 – 43p ,  25 – 4 , p 3. –25p –43 ,  –43p + (–25)

Find the reciprocal of the numbers below: a. 1/3 b. 4/5 c. 7

Answers

Answer:

a. 1/3 = 3 b. 4/5 = 5/4 c. 7 = 1/7

Step-by-step explanation:

Reciprocal means switching the numerator to the denominator and the denominator to the numerator. Whenever you have a whole number, there is an imaginary 1 as the denominator that is why the reciprocal of 7 is 1/7.

What is x^2-24x+c
As a perfect square need this answer ASAP

Answers

(x-12)(x-12) = x^2 - 24x + 144

Solve for x (geometry)

Answers

Answer:

x = -6°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

Identify and set up

x + 81 + 65° + 40° = 180°

Step 2: Solve for x

[Addition] Combine like terms:                                                                        x + 186° = 180°[Subtraction Property of Equality] Subtract 186° on both sides:                   x = -6°

Please answer the pic below for Brainliest and 5 stars (If correct)

Answers

                                        C. 17 mm and 53.5 mm

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