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natali 33 [55]
3 years ago
8

1/3y+11=1/2y-3 What is y???

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0

Answer:

y = 84

Step-by-step explanation:

1) add 3 to both sides of your equation to cancel out the -3

end up with: (1/3)y + 14 = (1/2)y

2) multiply both sides of your equation by 2 to cancel out the (1/2)

end up with: (2/3)y + 28 = y

3) subtract (2/3)y from both sides of the equation to cancel out the positive (2/3)y

end up with: 28 = (1/3)y

4) multiply both sides of the equation by 3 to cancel out the (1/3)

end up with: 84 = y

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Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

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So, X ~ N(\mu = 12.56, \sigma^{2} = 6.7^{2})

The z score probability distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 12.56 hours

           \sigma = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X \leq 12)

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<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.                                                 

7 0
4 years ago
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