On a single toss of a fair coin, the probability of heads is 0.5 and the probability of tails is 0.5. if you toss a coin twice and get heads on the first toss, are you guaranteed to get tails on the second toss? explain. yes, since the coin is fair. no, each outcome is equally likely regardless of the previous outcome. yes, tails will always result on the second toss. no, tails will never occur on the second toss.

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the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).

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