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3 years ago

Solve for n.

Mathematics

2 answers:

Ksivusya [100]3 years ago

8 0

12n + 34n = 12
46n = 12
n = 12/46 which reduces to 6/23 <==

Sonbull [250]3 years ago

4 0

First collect like terms
12n+34n=12

Next Divide each side by 46
46n=12

The answer is:
n= $\frac{6}{23}$
or
n= 0.26087

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Answer:

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Step-by-step explanation:

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The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

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$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

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The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that $m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833$

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This is P(X > 3). So

$P(X > 3) = e^{-0.0833*3} = 0.7788$

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