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anastassius [24]
2 years ago
15

A debt of $450 is to be shared equally among the members of the Outing Club. When five of the members refuse to pay, the other m

embers’ shares each go up by $3. How many members does the Outing Club have?
Mathematics
1 answer:
AysviL [449]2 years ago
5 0
X = The number of members 

<span>450 / x = Each person's share </span>

<span>(450 / x) + 3 = Having gone up by three dollars </span>

<span>(450 / (x - 5)) = Each person's share minus the five deadbeats </span>

<span>(450 / x) + 3 = 450 / (x - 5) </span>

<span>Solve for x... </span>

<span>450 + 3x = 450x / (x - 5) </span>

<span>450(x - 5) + 3x(x - 5) = 450x </span>

<span>450x - 2250 + 3x² - 15x - 450x = 0 </span>

<span>3x² - 15x - 2250 = 0 </span>

<span>3(x - 30)(x + 25) = 0 </span>

<span>x = 30, -25 </span>

<span>The negative result is meaningless... </span>

<span>x = 30 members</span>
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where

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Thus,

P(X ≥ 0.0657) = 1 - (520 - 518) / (180/√35)

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Therefore,  the probability that a sample of the 35 exams will have a mean score of 518 or more is <em>0.934 or 93.4%</em>.

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