A committee including 2 boys and 2 girls is to be formed from a group of 6 boys and 5 girls. How many different committee can be formed from the group

Answers

Answer 1

Step-by-step explanation:

well, we need to multiply the possibilities of forming a group of 2 boys out of 6 with the possibilities to firm a group of 2 girls out of 5.

the first is 6 over 2

6! / (2! × (6-2)!) = 6×5/2 = 3×5 = 15

the second one is 5 over 2

5! / (2! × (5-2)!) = 5×4/2 = 5×2 = 10

so, these 15 possibilities combined with the 10 possibilities makes

15×10 = 150

possibilities to form this committee.


Related Questions

Find the next number in the pattern: 12, 24, 48, 96, ...

Answers

Answer:

196

Step-by-step explanation:

12, 24, 48, 96, __?

The next term will come by multiplying with number 2

12 *2 = 24,

24*2 = 48,

48*2 = 96,

96*2 = 192,

& The answer will be 196

Answer:

Each time the pervious number is being doubled (multiplied by 2). So the next number would be 96 x 2. So, the next number on the pattern is 192.

:)

How many times as much does
the yellow T-shirt cost as the blue T-shirt?
Draw a bar diagram and write and solve
an equation.

Yellow shirt $24
Blue shirt $8

Answers

The bar diagram is attached below. As we can see, the price of a yellow T-shirt is as three times as the price of a blue T-shirt. Hence, we can construct the following equation to determine the ratio between both prices:

[tex]y = r\cdot x[/tex] (1)

Where:

[tex]x[/tex] - Price of blue T-shirt, in monetary units.[tex]y[/tex] - Price of the yellow T-shirt, in monetary units.[tex]r[/tex] - Price ratio, no unit.

If we know that [tex]x = 8[/tex] and [tex]y = 24[/tex], then the price ratio is:

[tex]r = \frac{y}{x}[/tex]

[tex]r = 3[/tex]

The price of the yellow T-shirt is as three times as the price of the blue T-shirt.

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Two sides of a triangle are 11 can and 14 cm what are all the possible values for the length of the third side

Answers

Answer:

Step-by-step explanation:

The third side is thus, less than 14 + 11 = 25 cm. The side cannot be less than the difference of the two sides. Thus, the third side has to be more than 14 - 11 = 3 cm. So, the length of the third side could be any length greater than 3 cm and less than 25 cm.

Explain how to solve 7 + x 12. ​

Answers

Answer:

either 19 or 84

Step-by-step explanation:

your question was unclear, it could be 7+12 or 7x12

so for 7+12 ITS 19

and for 7x12 its 84

19 or 84 it is hard to tell what it is meaning btw

Which statement represents the expression?

(9+5)÷7

A.9 plus 5 divided by 7

B.9 more than 5 divided by 7

C.7 divided by 9 plus 5

D.the sum of 9 and 5, divided by 7

Answers

D. The sum of 9 and 5, divided by 7

The Scale drawing of a rectangular room measures 10 cm long by 6cm wide. The actual width of the room is 15 feet. What is the actual perimeter of the room ,in feet?

Answers

Answer:

80 ft

Step-by-step explanation:

6cm is 15ft

10cm is ?ft

10x15 is 150

150 divided by 6 is 25

25+15+25+15 is 80

Find the gradient of the line segment between the points (4,6) and (8,14).

Answers

Let a = (x1,y1) = (4,6) and b = (x2,y2) = (8,14)

Then, since the formula of the gradient (or Slope), given two points a and b is :

m = (y2 - y1) / (x2-x1) = (14 - 6) / (8 - 4) = 8 / 4 = 2

Then we know that the gradient is m = 2

Good Luck, your the best :)

What is the quotient of 8.1 x 10^8 and 4.5 x 10^5 expressed in scientific notation?​

Answers

Answer:

1.8 x 10^3

Step-by-step explanation:

(8.1 x 10^8) / (4.5 x 10^5) = 1800

1800 = 1.8 x 10^3

Answer:

1.8x10^3

Step-by-step explanation:

Please take a look at the picture.

Answers

Step-by-step explanation:

the middle one.

S starts at 10 and then subtracts 1 with every step. that means it is going "backwards" from right to left.

T starts at 10 and then subtracts 2 with every step.

in combination the middle graphic follows both.

Simplifica e indica la opción del resultado de 9 + 3 {4/[ 6-(6-2)] + 5 }
Seleccione una:

a. 24
b.3
C. 30
d. 20

Answers

Answer:

a ang anwers

Step-by-step explanation:

no explanation

I Need Help Please!!!!! I will try to give brainliest!!!

Answers

x + 7 < 7
- 7 -7
x < 0


5 + 2x >= 7
-5 -5
2x >= 2
/2 /2
x >= 1

x is less than 0 and greater or equal to 1

Which expression is equivalent to the given expression?
3x^2 + 5x – 7(x^2 + 4)
A. x^2+28
B. x^2+4
C. -4x^2+5x -4
D. -4x^2+5x-28

Answers

Answer:

[tex]-4x^2+5x-28[/tex]

Step-by-step explanation:

Distribute -7 by multiplying it by ([tex]x^2[/tex]) and (4)

[tex]3x^2+5x-(7)(x^2)(7)(4)[/tex]

[tex]3x^2+5x-(7x^2+28)[/tex]

Now combine like terms

[tex](3x^2-7x^2)+5x-28[/tex]

[tex]-4x^2+5x-28[/tex]

Please help me please help me help please

Answers

Answer:

-1

Step-by-step explanation:

x is up and down and y is side to side and it is on the negative side

Hope this helps!!! Mark me as brainiest!!!!

Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles. What was Malik's average pace while biking?
Write your answer as a whole number or a decimal.

Answers

Answer: Well you first have to figure out how long it took him to ride the one mile so once you find hat out all you need to do if times that by 10 and you will get the answer you have.

Please mark me brainilest

Malik's average pace was 5.5 minutes per mile.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given; Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles.

Now, This equation represents the situation.

Now, solve the equation for p;

10p+2.5 = 57.5

Subtract 2.5 from both sides;

10p = 55

Divide both sides by 10

p = 5.5

Therefore, Malik's average pace was 5.5 minutes per mile.

Learn more about equations here;

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awnser this question for 10 points..... 1+9+19,000+1,000,000+60+190+30=

Answers

Answer:

101,929,0

Step-by-step explanation:

the answer is 1019290 on this math question

This is the graph of y = x2 -7x + 3. Work out x2 -7x + 3 = 0 (careful with the scale).

Answers

Answer:

x=6.54138

x=0.458619

Step-by-step explanation:

using the Quadratic Formula where

a = 1, b = -7, and c = 3

x=−b±[tex]\sqrt{b^{2} -4ac}[/tex]/2a

x=−(−7)±√[(−7)2−4(1)(3)]/2(2)

x=7±√(49−12)/2

x=7±√37/2

The discriminant b2−4ac>0

so, there are two real roots.

Cannot Simplify the Radical:

x=[tex]\frac{7+-\\\sqrt{37} }{2}[/tex]

which becomes

x=6.54138

x=0.458619

You select a marble at random and then put it back. If you do this 8 times, what is the best prediction possible for the number of times you will pick a red marble?

A) 1/8

B) 2/4

C) 2/5

D) 3/11

Answers

Answer:

1/8

Step-by-step explanation:

its says 8 times. That's the only answer with a 8. (I'm not sure tho)

A 1/8 is the correct answer for this q i hope this helps u

15.
Write an equation for each translation of y = |x|.

15.5 units left

A. y = | x | – 15.5

B. y = | x + 15.5 |

C. y = | x – 15.5 |

D. y = | x | + 15.5

Answers

Answer:

B. y = | x + 15.5 |

Step-by-step explanation:

The + inside the absolute value equation really means -.

So there is a horizontal shift of 15.5 units left.

Answer:

B. y = | x + 15.5 |

Step-by-step explanation:

Given : y= |x|.

To find : Write an equation for each translation of y= |x|. 15.5 units left .

Solution : We have given that y= |x|.

By the translation rule :if function transformed to  f(x ) →→→ f(x +h) Then graph of the function would shift h units left.

For translation 15.5 unit left we need to add 15.5 in function y= |x|.

y = | x + 15.5 |

Therefore, y = | x + 15.5 |.

Pablo pays $150 for 5 nights at a hotel.

Answers

Where’s the rest of the question?

Answer: Pablo pays $30every night?

Step-by-step explanation:

HELPP!!!!!!!!

Martin is sewing costumes for the school play. He needs 1/3
yard of ribbon for each costume. He has 12 3/4 yards of
ribbon left. How many costumes can he finish making?

Answers

Answer:

simple convert to improper to subtract

51/4 turn to a common denominator

so multiply by 3

153/12. 4/12

then just divide 153 by 12 = 12.75* 3 bc 3 costumes are one yard and you get 38.25 costumes or 38 bc you cant have .25 of a costume

The no. of costumes Martin can make is 38.

It is given that 1/3 yards of Ribbon is needed for each costume and [tex]12\frac{3}{4}[/tex] yards of Ribbon is left.

We have to find out the no. of costumes which Martin can make.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations and the symbols are called variables.

As per the question ;

Ribbon needed for each costume = 1/3 yards

Ribbon left = [tex]12\frac{3}{4}[/tex] yards

Let's assume no. of costumes Martin can make is x.

The ribbon needed for x costumes will be ;

= [tex]\frac{1}{3}[/tex] × x

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

So ;

The no. of costumes will be ;

[tex]\frac{x}{3}[/tex] yards =  [tex]12\frac{3}{4}[/tex] yards

[tex]\frac{x}{3}[/tex] yards = [tex]\frac{51}{4}[/tex] yards

or

4x = 51 × 3

or

x = [tex]\frac{51 * 3}{4}[/tex]

x = [tex]\frac{153}{4}[/tex]

or

x ≈ 38

Thus , the no. of costumes Martin can make is 38.

To learn more about algebra click here ;

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Please help!!!! I will give brainliest

Answers

Answer:

Top one (A)

Step-by-step explanation:

X >/ -4 Means that the number is "true" as long as it is -4, or larger in amount.

Emma county charges 5.25% sales tax what is the sales tax on a $40 purchase

Answers

Answer:

$2.10 is the sales tax

Step-by-step explanation:

convert 5.25% to a decimal

5.25 / 100 = 0.0525

0.0525 x 40 = 2.1

Solve for c.
a(c – b) = d

Answers

Answer:

c=d/a+b

Step-by-step explanation:

a(c-b)=d

a(c-b)/a=d/a

c-b=d/a

c=d/a+b

c=d+ab/a

How would you describe the graph for the equation ? lxl = 1

Answers

Answer:

Step-by-step explanation:

Note that |-x| = 1, just as |x| = 1.  Removing the absolute value operator in both cases, we get x = 1.   In two dimensions the graph would be a solid dot at  = 1.

the ratio 15 minutes to 1 hour can be written in the form 1 : n.


find the value of n?

Answers

Answer:

4

Step-by-step explanation:

you change hour to second and then you divide

i hate my math teacher. hi yall

Answers

Answer:

um, i like my math teacher, math's a little hard sometimes, but i still like her.

Step-by-step explanation:

What fraction is equal to 2 1/2?

Answers

Answer:

5/2

Step-by-step explanation:

4x - 1 all over 2 = x + 7

What is x

Answers

Answer:

Step-by-step explanation:

4x-2x=7+1 2x=8 x=4.

What is the remainder in 32 divided by 1848

Answers

Answer:57.75

57 Remainder 24

Step-by-step explanation

57.75 there I hope this works

Which of the lines below has a negative slope? A B C D A. Line A O B. Line B G Line C D. Line D​

Answers

Answer:

A. Line A

Step-by-step explanation:

Line A is decreasing so it has a negative slope.

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