1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sever21 [200]
3 years ago
14

Ther are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations o

f players are possible
Mathematics
1 answer:
omeli [17]3 years ago
8 0

Answer:

There are 286 possible combinations

Step-by-step explanation:

To solve this problem we must use the formula of combinations.

nCr =\frac{n!}{r!(n-r)!}

Where n is the number of players that there are and elect r of them

In this case there are 7 + 6 = 13 players and you choose 10 of them

Then we look for  13C10

13C10 =\frac{13!}{10!(13-10)!}

13C10 =\frac{13!}{10!*3!}

13C10 =286

There are 286 possible combinations

You might be interested in
Supply function: 2p-q-63 and the demand function: (p+30)(q+25)=2584. What is the market equilibrium point?
KATRIN_1 [288]
Equilibrium is point where supply = demand

Solve with substitution.

From supply equation ---> q = 2p - 63

Sub into demand equation ---> (p+30)(2p-63+25) = 2584

Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38

Sub back into supply equation to find q
q = 2(38) - 63
q = 13

Answer: Equilibrium is 13 units sold at price of $38.
6 0
3 years ago
In a class of p students, the average (arithmetic mean) of the test scores is 70. in another class of n students, the average of
lys-0071 [83]

First case:

average of test score =70

number of students =p

total score of 'p' students = ( average of test score)*( number of students)

total score of 'p' students =70p

Second case:

average of test score =92

number of students =n

total score of 'n' students = ( average of test score)*( number of students)

total score of 'n' students =92n

total number of students = p+n

total average score =86

so, total score =86(p+n)

total score = total score of 'p' students +total score of 'n' students

86(p+n)=70p+92n

now, we can simplify it

86p+86n=70p+92n

86p-70p=92n-86n

16p=6n

now, we can find p/n

\frac{p}{n}= \frac{6}{16}

\frac{p}{n}= \frac{3}{8}................Answer


5 0
3 years ago
This year the boys’ basketball team won 4 times as many games as it lost. The team played a total of 40 games. How many games di
Salsk061 [2.6K]

Answer:

The team won 32 games.

Step-by-step explanation:

x = games won

y = games lost

z = total games = 40

x = 4y <em>Won 4 times as many games as it lost</em>

x + y = 40 <em>Games won + games lost = Total games played</em>

4y + y = 40 <em>Sub 4y in for x, as established previously</em>

5y = 40

y = 8

x = 4y

x = 4(8)

x = 32

The team won 32 games.

8 0
3 years ago
I need help with this
goldenfox [79]

for a triangular prism, its volume will simply be <u>area of its base</u> times its length.

the are of the base for this one is simply any of those triangular bases.  Now, let's notice, the right-triangle has a base of 9 and a height o 9, notice the tickmarks, whilst the prism also has a length of 13.

\bf \stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(9)(9)}~~\cdot~~ \stackrel{\textit{length}}{(13)}\implies 9\cdot 13\implies 117

5 0
3 years ago
HELP ME PLEEESE. I need the solution. What is the value of x?
elena-s [515]

Answer:

x = 15

Step-by-step explanation:

create a proportion:   <u> x + 10 </u> = <u> x + x + 10 </u>

                                       5               8

cross-multiply:  8(x + 10) = 5(2x + 10)

                          8x + 80 = 10x + 50

                                  80 = 2x + 50

                                  30 = 2x

                                   15 = x

6 0
3 years ago
Other questions:
  • Tia made a scale drawing of the White House for her history project. The actual length of the building is 168 feet, and its widt
    12·2 answers
  • Find the amount budgeted for food on a salary of $19,300 if the food budget is 13%.
    11·1 answer
  • I NEED HELP PLEASE, THANKS! :)
    15·1 answer
  • Circle Z is intersected by AC←→ and CE←→.<br><br> What is the measure of AE?
    9·2 answers
  • A business analyst makes $20 an hour for the first 42 hours he works during a week and $28 an hour for each hour worked over 42
    14·2 answers
  • Determine the equation of each line with the following properties:
    7·1 answer
  • Find the value of x (helppppppppppppoppppppp)
    9·1 answer
  • Which sequence is represented by = 10 − 29 where x represents the term number and y represents the term?
    6·2 answers
  • A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8
    9·1 answer
  • How many pounds of bananas cost $3.75?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!