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

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

9

is 35.

Using this probability, determine if the event of choosing a girl for the first spot and the event of

choosing a boy for the second spot are independent, dependent, both, or neither.

A. independent

B. both independent and dependent

C. neither independent nor dependent

D. dependent

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

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1