There are 45 students on a field trip. Six students are chosen at random, five different times. The results are given. 2 boys and 4 girls, 1 boy and 5 girls, 2 boys and 4 girls, 1 boy and 5 girls, 3 boys and 3 girls. How many boys and girls do you think are on the field trip? Explain your answer.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

hi there!

the answer will be d: 2