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
e-lub [12.9K]
3 years ago
5

The four-member math team at Pecanridge Middle School is chosen from the math club, which has three girls and five boys. How man

y different teams made up of two girls and two boys could be chosen?
Mathematics
1 answer:
melamori03 [73]3 years ago
7 0

Answer:

30 ways

Step-by-step explanation:

Given the following :

Number of boys in school (n1) = 5

Number of girls in school (n2) = 3

Total number of team members to be selected = 4

Number of boys required in team(r1) = 2

Number of girls required in team(r2) = 2

How many different teams made up of two girls and two boys could be chosen?

= (2 boys from 5) * (2 girls from 3)

Using combination :

5C2 * 3C2

Recall :

nCr = n! ÷ (n-r)! r!

5C2 = 5! ÷ (5-2)! 2!

5C2 = 5! ÷ 3!2!

5C2 = (5*4) / 2 * 1 = 10ways

3C2 = 3! ÷ (3-2)! 2!

3C2 = 3! ÷ 1!2!

3C2 = (3) /  1 = 3ways

3C2 = 3/1 = 3ways

10 * 3 = 30 ways

You might be interested in
help I will fail math class please help doors for the small cabinets are 11.5 inches long . doors for the large cabinet are 2.3
VARVARA [1.3K]
11.5 * 2.3 = large door size
large door size / 12 = large door size in feet
large door size in feet / 10 = how many large doors can be cut from the board. (you have to round it down if there's a decimal- no 1/2 doors.)
7 0
3 years ago
Sketch the algebra-tile shape at right on your paper. Write an expression for the
Dima020 [189]

Answer:

Part 1) P=(4x+4)\ units

Part 2)

a) P=32\ units

b) P=26\ units

c) P=13\frac{1}{3}\ units

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Part 1) Write an expression for the  perimeter of the shape

we know that

The figure is composed by a larger square, a rectangle and a smaller square

1) The area of the larger square is given

A=x^2\ units^2

so

The length and the width of the larger square is x units

2) The area of the rectangle is given

A=x\ units^2

so

The length of the rectangle is x units and the width is 1 unit

3) The length and the width of the smaller square is x units

see the attached figure N 2 to better understand the problem

Find out the perimeter

The perimeter is the sum of all the sides.

so

P=(x+x+x+x+1+1+1+1)

P=(4x+4)\ units

Part 2) Find the perimeter for each of the given values of x.

a) For x=7 units

Substitute the value of x in the expression of the perimeter

P=(4(7)+4)=32\ units

b) For x=5.5 units

Substitute the value of x in the expression of the perimeter

P=(4(5.5)+4)=26\ units

b) For x=7/3 units

Substitute the value of x in the expression of the perimeter

P=(4(\frac{7}{3})+4)=\frac{40}{3}=13\frac{1}{3}\ units

8 0
3 years ago
-10+5k^5 write in standard form
Yanka [14]

Answer:

Step-by-step explanation:

How to write numbers in standard form:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

7 0
2 years ago
working together, melissa and jing can mow a lawn in 5 hours. It would take melissa 8 hours to do the job alone. What is the val
lubasha [3.4K]
Total Time = (M x K) / (M + K)
5 = (8 x K) / (8 + K)
40 + 5 K = 8K
40 = 3K
King can do the job in 13.33 Hours

King could mow (1 / 13.33) of the lawn in one hour.

8 0
3 years ago
Lin correctly compares the values of the digits in 644.66. Select the comparison Lin could have made. and brainlist if right
AnnZ [28]

Answer:

d

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Tori earns $9 for each hour of dog walking .how many hours in all will it take tori to earn a total of $36
    11·1 answer
  • Use the laplace transform to solve the initial value problem: y''+y=1, y(0)=2 and y'(0)=0
    14·1 answer
  • How to solve for angles of a triangle when I am given only sides
    11·1 answer
  • X=y+16 y+2x=5 what is the x cordinate
    13·1 answer
  • Pls help its due today
    11·1 answer
  • Find the length of side a.<br><br><br> Hurry please no trolling.
    6·2 answers
  • What is 4 x 4? Please help me! I dont understand multiplacation.
    13·2 answers
  • What is the area of a square with sides of length 6?
    5·1 answer
  • If light travels about 3 x 10^5 kilometers per second, about how many kilometers does it travel in one day? Write the answer in
    15·1 answer
  • Please help im being timed :(!!!<br><br>I dont know what to do!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!