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Norma-Jean [14]
3 years ago
13

The variable y varies directly with x^2 and y=72 when x=3

Mathematics
1 answer:
Karolina [17]3 years ago
6 0
Y=kx^2  (k being a constant)

72=k (3^2)
k=8

y=8x^2
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We have a total of ten student, and three students are randomly selected (without replacement) to participate in a survey. So, the total number of subsets of size 3 is given by 10C3=120.

On the other hand A=Exactly 1 of the three selected is a freshman. We have that three students are freshman in the classroom, we can form 3C1 different subsets of size 1 with the three freshman; besides B=Exactly 2 of the three selected are juniors, and five are juniors in the classroom. We can form 5C2 different subsets of size 2 with the five juniors. By the multiplication rule the number of different subsets of size 3 with exactly 1 freshman and 2 juniors is given by

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