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3 years ago

What is 4p + 5q = - 18 and 3p - 10q = 69 using elimination

1 answer:

8 0

$\left \{ {{4p+5q=-18\ |\cdot2} \atop {3p-10q=69}} \right. \\\\ \left \{ {{8p+10q=-36} \atop {3p-10q=69}} \right. \\+-----\\\\11p=33\ \ \ \ |:11\\p=3\\\\4\cdot3+5q=-18\\12+5q=-18\\5q=-18-12\\5q=-30\ \ \ \ \ \ |:5\\q=-6\\\\ \left \{ {{p=3} \atop {q=-6}} \right.$

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Answer:

18.88% probability that three or four customers will arrive during the next 30 minutes

Step-by-step explanation:

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$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

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Average rate of 6.4 per 30 minutes.

This means that $\mu = 6.4$

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$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 3) = \frac{e^{-6.4}*(6.4)^{3}}{(3)!} = 0.0726$

$P(X = 4) = \frac{e^{-6.4}*(6.4)^{4}}{(4)!} = 0.1162$

$P = P(X = 3) + P(X = 4) = 0.0726 + 0.1162 = 0.1888$

18.88% probability that three or four customers will arrive during the next 30 minutes

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Step-by-step explanation:

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