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kramer
3 years ago
11

Help please !!! show work​

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

y = \frac{2w}{x^{2}}

Step-by-step explanation:

To solve an equation for one of its variable do that

  • Underline the variable
  • Separate it on one side and the other terms on the other side
  • Make its coefficient equal 1

Let us use these steps to solve our question

∵ w = \frac{1}{2} x²y

→ Underline y

∴ w = \frac{1}{2} x²<u>y </u>

<u />

→ Multiply both sides by 2 to cancel the denominator 2

∵ 2 × w = 2 ×  \frac{1}{2} x²y

∴ 2w = x²y

→ Divide both sides by x² to move it to the left side

∵ \frac{2w}{x^{2}} = \frac{x^{2}y}{x^{2}}

∴  \frac{2w}{x^{2}} =  y

→ Switch the two sides

∴ y = \frac{2w}{x^{2}}

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Probability of someone that made a reservation not showing up = 50% = 0.5

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P(X = 5) = ⁶C₅ (0.5)⁵ (0.5)⁶⁻⁵ = 6(0.5)⁶ = 0.09375

P(X = 6) = ⁶C₆ (0.5)⁶ (0.5)⁶⁻⁶ = 1(0.5)⁶ = 0.015625

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where xᵢ = each independent person,

pᵢ = probability of each independent person not showing up.

E(X) = 6(1×0.5) = 3

If 3 people do not show up, it means 3 people show up and the number of unoccupied seats in a 4-seater limousine = 4 - 3 = 1

So, expected number of unoccupied seats = 1

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