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prohojiy [21]
3 years ago
8

A club with nine girls and six boys is choosing two representatives to meet with the other

Mathematics
1 answer:
icang [17]3 years ago
4 0

Answer:

Prob = 0.514

A. independent

Step-by-step explanation:

The probability that the club chooses a girl and then a boy for the representative spots

Total = 15

Boys = 6

Girls = 9

Prob of 2 person, a girl and a boy

=( 9C1*6C1)/(15C2)

= (9*6)/(105)

= 54/105

= 0.514

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Read 2 more answers
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Answer:

Let x = amount of 45% antifreeze

Let y = amount of 70% antifreeze

 

    EQUATION 1:   x + y = 150    (total of 150 gallons mixed)

 

    EQUATION 2:  .45x + .75y = .55(x + y)

 

Simplify and solve the system of equations

 

    Multiply second equation by 100 on both sides to remove the decimals

 

          45x + 75y = 55(x + y)

 

    Combine like terms

 

          45x + 75y = 55x + 55y

 

          45x - 55x + 75y - 55y = 0

   

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      Now we have the following system of equations:

 

             x  +    y = 150

        -10x + 20y =     0

 

    Multiply the first equation by -10 to get opposite coefficients for x;  add the equations to eliminate x

 

          10x + 10y = 1500

         -10x + 20y =       0

        ------------------------------

                    30y = 1500

 

     Solve for y

 

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               y = 50

 

     Since the total mixed gallons is 150, x = 150 - 50 = 100

 

So we need 100 gallons of the 45% antifreeze and 50 gallons of the 70% antifreeze

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