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monitta
3 years ago
14

Jim, Sergio, Sarah, Tyrone, Dawn, Simone, Maria, and Katrina have all been invited to a dinner party. They arrive randomly and e

ach person arrives at a different time.
Required:
a. In how many ways can they arrive?
b. In how many ways can Simone arrive first and lan last?
c. Find the probability that Simone will arrive first and lan last.
Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

Answer:

2

Step-by-step explanation:

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Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.
Sav [38]

<u><em>Answer:</em></u>

<u><em /></u>-9(\frac{2}{3}x) + 9(1)\\  \\-6x + 9

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following rules:</u>

<u>1- Distribution property:</u>

<u />a(b+c) = ab+ac

<u>2- Simplification of fractions:</u>

<u />\frac{xy}{yz}=\frac{x}{z}

<u>3- Signs in multiplication:</u>

+ve * +ve = +ve

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+ve * -ve = -ve

<u>Now, for the given problem, we have:</u>

<u></u>9 (\frac{2}{3}x + 1)

<u>Starting with the distributive property:</u>

<u />-9 (\frac{2}{3}x +1) =  -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)

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<u />-9(\frac{2}{3}x) + 9 = \frac{-9*2}{3}x + 9 = -6x+9

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