Out of the 13 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams.

Answers

Answer 1

Using the combination formula, it is found that there are 286 10-person teams.

The order in which the girls are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 10 girls are chosen from a set of 13, hence:

[tex]C_{13,10} = \frac{13!}{10!3!} = 286[/tex]

There are 286 10-person teams.

More can be learned about the combination formula at https://brainly.com/question/25821700


Related Questions

find the value of -7 + 3(-12) ÷ (-3)

A. -16
B. 5
C. -40
D. -19

Answers

Your answer to your question is going to be D)-19

Leigh is renting a moving van The function C (d) = 0.12d + 25 is used to relate the cost, C, in dollars of the rental after Leigh
uses the van for d miles. What is the interpretation of the slope for this function? (1 point)
The initial cost of the moving van is $0.12
The additional cost is $25 for each additional mile the van is driven
The initial cost of the moving van is $25.
The additional cost is $0.12 for each additional mile the van is driven

Answers

Answer:

The additional cost is $0.12 for each additional mile the van is driven ⇒ D

Step-by-step explanation:

The form of the linear function is

f(x) = m x + b, where

m is the rate

b is the initial value

In our question

The function C(d) = 0.12 d + 25 represents the cost C in dollars of the rental van uses for d miles

→ Compare it with the form of the linear function above

m = 0.12

b = 25

∵ The cost C depends on the number of miles d

$0.12 is the cost per mile ⇒ additional cost for each additional mile

$25 is the initial cost ⇒ initial cost of the moving the van

The interpretation of the slope for this function is:

The additional cost is $0.12 for each additional mile the van is driven

Answer:

+0.12

Step-by-step explanation:

The additional cost is 0.12 cents for each additional mile the van is being driven.

You’d like to see how many baseball and soccer games you can attend this spring. Travel time for basketball games is 2 hours and soccer games is 1 hour. You would like to spend no more than 15 hours traveling to the games. In total, you would like to attend at least 8 games.

Answers

4 basketball games and 7 soccer games

We have to attend 7 basketball games and 1 soccer game.

Given, we had two types of game namely basketball and soccer.

Travel time for basketball games is 2 hours and soccer games is 1 hour.

Let no. of basketball games be x and no of soccer games be y.

According to the question we would like to attend at least 8 games, so we have the inequality  [tex]x+y\geq 8[/tex]

And  we would spend no more than 15 hours traveling to the game, so [tex]2x+1y\leq 15[/tex].

[tex]x+y=8\\[/tex]

[tex]2x+1y=15\\[/tex]

On solving we get [tex]x=7[/tex] and [tex]y= 1[/tex].

Hence we have to attend 7 basketball games and 1 soccer game.

For more details on Equation follow the link:

https://brainly.com/question/10824691

Need help with these bad

Answers

My camera kinda bad but you should be able to see the photo.

A student has passed 60 percent of the 20 quizzes he has written so far successfully. If the student writes 50 quizzes during the year, and passes 80 percent of the remaining quizzes successfully, what would his average percentile be?

Answers

Answer:

A student has passed 60 percent of the 20 quizzes he has written so far successfully mean:

successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12

The remaining quizzes = 50 - 20 = 30 quizzes

80 percent of the remaining quizzes successfully mean:

The remaining successfully quizzes = 80 % of 30 = ( 80 / 100 ) * 30 = 80 * 30 / 100 = 2400 / 100 = 24

Total successfully quizzes = 12 + 24 = 36

Average = ( 36 / 50 ) * 100 % = 0.72 * 100 % = 72 %

Pls rate Brainliest!

Answer:73%

Step-by-step explanation:A student has passed 60 percent of the 20 quizzes he has written so far successfully mean:

successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12

The remaining quizzes = 50 - 20 = 30 quizzes

80 percent of the remaining quizzes successfully mean:

The remaining successfully quizzes = 80 % of 30 = ( 80 / 100 ) * 30 = 80 * 30 / 100 = 2400 / 100 = 24

Total successfully quizzes = 12 + 24 = 36

Average = ( 36 / 50 ) * 100 % = 0.72 * 100 % = 72 %

A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. What is the prolom asking you to find? * 4c + 5 = 27

Answers

Answer:

Quantity of carbohydrate in gram = 5.5 gram

Step-by-step explanation:

Given:

Amount of calories contain = 27

1 gram carbohydrate = 4 calories

Equation : 4c + 5 = 27

Find:

What is c

Computation:

Equation asking for quantity of carbohydrate in gram

So,

4c + 5 = 27

4c = 22

c = 5.5

Quantity of carbohydrate in gram = 5.5 gram

pwease help thank you

Answers

Answer: -3

So, first off, judging from the h(x) graph, h(x)=-2x–1
So this is compositions or something like that; it’s been a year since I’ve done calculus but here we go:
First, you must find f(6) by replacing every x in that function by 6
f(6) = (1/2)(6) – 4
f(6) = (6/2) – 4
f(6) = 3 – 4
f(6) = -1
Now, since you’ve found f(6), now to find h(-1) (since f is -1 and h( f(6) ) is h(-1) )
h(-1) = 2(-1) – 1
h(-1) = -2 – 1
h(-1) = -3

So, the answer is -3

During a basketball season cathy sored 40% of her shots If she scored 140 goals how many shots did she make

Answers

Answer:

Step-by-step explanation:

Set up the following ratio. Let the total number of shots = x

40/100 = 140/x               Cross multiply

40x = 100* 140               Combine the right

40x = 14000                   Divide by 40

x = 14000/40

x = 350

She took 350 shots in total.

pls help me...
A. y is all real numbers
B. y>0
C.-6</=x </=6
D.0 </=y </=8​

Answers

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[tex]0 \leqslant y \leqslant 8[/tex]

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Thus the correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

PLEASE HELP! I WILL MAKE YOU BRAINLIST!

Answers

Answer: A.

Step-by-step explanation: yes

PLEASE HELP,I AM BEING TIMED!!
Measure the angle of 6

Options: 100
120
30
60

Answers

30 degrees

Measure of the angle of 6 is 30 degrees

Answer:

30 degrees

Step-by-step explanation:

because 60 degrees is already there and 120 is angled the opposite way, and 100 degrees is a little farther than 90.


Solve for the value of s.


HELP PLS NOW 20 POINTS

Answers

Answer:

15

Step-by-step explanation:

82 + (7s - 7) = 180

   - subtract 82 from both sides

7s - 7 = 98

   - add 7 to both sides

7s = 105

   - divide both sides by 7

s = 15

Look at this graph:
y
100
90
80
70
60
50
40
30
20
10
X
0
10
20 30 40 50 60 70 80 90 100
What is the slope?

Answers

Find the x- and y-intercepts of the graph of each ... CCSS REASONING The equation 5x + 10y = 60 ... 20. SOLUTION: The x-intercept is the point at which the y-coordinate is 0, or the line ... charges $50 for admission before 6 p.m. and $20 for ... (90, 70). 100 f (100) = 160 – (100). 60. (100, 60). 130 f (130) = 160 – (130). 30.

The answer is 55. You need to use the rules above to find the actual measure for angle b

Answers

209 + 96 + 55 = 360

Step-by-step explanation:

A circle is 360 degrees

209 is part of the circle so find the difference between 360 and 209

360 - 209 = 151

If the two angles are equivalent to 151, then we find the difference between 151 and 96 to get the measurement for angle b

151 - 96 = 55

I read now that it says use the rules above, but I'm not seeing any rules in the picture so hopefully my steps are the rules you're referring to

Cuales son las 5 propiedades de la adición

Answers

Answer:

En realidad supongo que solo hay 4 no 5.

Step-by-step explanation:

What is 1 + 1? I forgot

Answers

Answer:

2

Step-by-step explanation:

Sammy bought 15.3 Liters of milk. She poured the milk equally into 5 bottles. There was 0.35 liters of milk left over. Calculate the capacity of milk in 1 bottle.


please show work.

Answers

Answer:

The capacity of milk in 1 bottle is 2.99 liters

Step-by-step explanation:

Let us solve the question

∵ Sammy bought 15.3 liters of milk

∵ She poured the milk equally into 5 bottles

∵ There were 0.35 liters of milk leftover

→ At first, subtract the leftover from the quantity she bought to

   find the capacity of the five bottles

∴ The capacity of the 5 bottles = 15.3 - 0.35

∴ The capacity of the 5 bottles = 14.95 liters

→ To find the capacity of each bottle divide the total capacity by 5

∴ The capacity in one bottle = 14.95 ÷ 5

∴ The capacity in one bottle = 2.99 liters

The capacity of milk in 1 bottle is 2.99 liters

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7. 1.What are the side lengths of the scaled copy? 2. Suppose you want to scale the copy back to its original size. What scale factor should you use?​

Answers

for the first one it’s 14 by 21 inches

combine like terms 10a-10a+1

Answers

1 is the correct answer

Answer:

1

Step-by-step explanation:

10a and -10a would combine and cancel eachother out leaving you with 1

A drone costs $200, and you receive a 15% discount due a coupon. What is
the total amount to be paid?

Answers

Answer:

the total would be 170 dollars

Step-by-step explanation:

200x0.15

Answer:

$170

Step-by-step explanation:

15% of 200 is 30, so subtracting 30 from 200 gets you 170.

If you're having trouble with finding 15% of 200, just flip it around, and find 200% of 15. 15% of 200 and 200% of 15 are both 30. This works no matter what numbers you have. For example, 8% of 100 and 100% of 8 are equivalent, 70% of 200 and 200 and 200% of 70 are equivalent as well.

Find the equation of a line that passes through the points (2, 16) and (-1, 7)

Answers

Answer:

y=3x+10

Step-by-step explanation:

7-16=-9

-1-2=-3

-9/-3=3

m=3

3) 8x = 72
It’ll help

Answers

Answer:

9

Step-by-step explanation:

×=72/8

×=9

Hope it helps

Answer: 9

Step-by-step explanation: First, look for the value of x. A number with a variable in front of it means that you’ll be multiplying, but you can use division which makes it easier to find x. SO, DIVIDE 72 by 8 (82 ÷ 7), which equals to 9. (8 x 9 = 72)

6+3{[4-2(4-7)]}=
I need answer this whit steps.

pls.

Answers

Step-by-step explanation:

6+3((4-2(4-7))

1. 6+3((2(4-7))

2. 6+3((2(*-3)

3. 6+3(-6)

4. 6+(3*-6)

5. 6+-18

6. -12

In a city the distance between the libary and the police station is 3 miles less than than the distance between the police station and fire station the distance between the libary and police station is 5 miles how far apart are the police station and the fire station

Answers

Answer:

8 miles

Step-by-step explanation:

Given

Represent the police station with P, Library with L; Fire station with F

The first statement can be represented as:

[tex]L - P = P - F - 3[/tex]

The second can be represented as:

[tex]L - P = 5[/tex]

Required

Determine the distance between the police station and the fire station (P - F)

[tex]L - P = P - F - 3[/tex] --- (1)

[tex]L - P = 5[/tex] --- (2)

Substitute 5 for L - P in (1)

[tex]5 = P - F - 3[/tex]

Add 3 to both sides

[tex]3 +5 = P - F - 3 + 3[/tex]

[tex]3 +5 = P - F[/tex]

[tex]8= P - F[/tex]

[tex]P - F = 8[/tex]

I NEED HELP ASAP WE ARE GIVING BRAILIEST AND POINT HURRY I NEED

HELP!!!Q.1) The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 95 centimeters in 5 seconds.

What is the time in seconds the ant crawls when the total distance is 133 centimeters?
A.6 s
B.7 s
C.19 s
D.27 s

Answers

Answer: C

Step-by-step explanation:

not A or d

B or C

All I did was divide 95 and 5 and I got 19!

hope this helps!:)

Answer:

B.) 7 seconds

Step-by-step explanation:

We are given that the ant can crawl 95 centimeters in 5 seconds, which means that it can crawl 19 centimeters in 1 second (95 centimeters/5 seconds). Now you need to divide 19 from 133 (133 centimeters/19 centimeters per second), and you get 7 seconds.

Can someone help me out please ?

Answers

it’s option 2, 8x^2+2x+8

Answer:

i think its option 1

Step-by-step explanation:

4. Which number is irrational?
A. (1.5)?
C. 149
D. (15)

Answers

The irrational number is (B)

Maria rewrote 45.59 – 7.9 as 45.59 - 7.90. Is the value of 79 changed by annexing a zero after 7.9? Why or why not? ​

Answers

Answer:

No

Step-by-step explanation:

because it is 7.9 and all you are doing is adding a place holder with is the zero

What is the variable expression that represents the word phrase.
The product of 2 and x is increased by 7

Answers

Answer:

2x + 7

Step-by-step explanation:

The product of 2 and x

Product means multiplication

The product of 2 and x means multiplication of 2 and x

Which is equivalent to

2 * x = 2x

The product of 2 and x is increased by 7

That is, 7 is added to the product of 2 and x

Here,

2x + 7

The variable expression that represent the word phrase "The product of 2 and x is increased by 7" is 2x + 7

What type of slope does (-7,8) and (-7,0) have?

Answers

Answer:

Undefined slope

Step-by-step explanation:

any number divided by 0 is undefined

-8/0

Answer: m=12/7

Step-by-step explanation:

I looked it up for you bro

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