<span>The likelihood of both selected students being sophomores is 6/20, which simplifies to 3/10.
The expression for the probability that both chosen students are sophomores is (6c1) (5c1) /(20c2)
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The task requires calculating the coefficient of the squared term in the parabolic equation, and based on my calculations and analysis, I found that the vertex of the parabola can be expressed as y =a(x-h)^2+k, leading me to a simplification that results in x^2.
42. The permutation formula is P(n, r) = n! / (n - r)!. Given n = 7 and r = 2, we have: 7! / (7 - 2)! = 7! / 5!. This simplifies to 7 * 6 (since 5! cancels out), resulting in 42.
Laura sold 32 boxes, Kelly sold 17, and Tia sold 34 boxes. Step-by-step explanation: Let Laura's boxes be represented by L. Kelly sold L - 15, and Tia sold 2(L - 15). Therefore, the equation L + (L - 15) + 2(L - 15) = 83 can be solved as follows: 4L - 45 = 83, giving us 4L = 128, hence L = 32. Subsequently, Laura sold 32 boxes, Kelly sold 17 (which is 32 - 15), and Tia sold 34 (totaling twice Kelly's sales). The overall total is 32 + 17 + 34 = 83.
- Decreasing. Step-by-step explanation: I'm uncertain about the last two but I can affirm that the others are definitely not applicable.
