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ozzi
4 years ago
13

Four times the sum of a number and 6 is 5

Mathematics
1 answer:
aalyn [17]4 years ago
4 0

Answer:

Step-by-step explanation:

Let the number be x

4(x + 6) = 5

4x +24 = 5

4x = 5 - 24

4x = -19

x = -19/4

x = -4 3/4

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Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court
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Step-by-step explanation:

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Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

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P(One man and one woman are appointed)=P(MW)+P(WM)

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(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

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P(at least one woman is appointed)=P(MW)+P(WM)+P(WW)

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In Part B, P(MW)+P(WM)=\frac{8}{39}

Therefore:

P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}

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3 years ago
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