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Leno4ka [110]
3 years ago
14

Solve -6n+5=59 it’s a 2 step equation and I need to no how to do it step by step

Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0

Answer: n = -9

Step-by-step explanation:

-6n + 5 = 59 (Given)

-6n -5 = 59 - 5 (Subtraction Property of Equality)

-6n = 54 (Simplify)

\frac{-6}{-6} = \frac{54}{-6} (Division Property of Equality)

n = -9 (Simplify)

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The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,
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Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so \mu = 7*0.6 = 4.2

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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

P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150

P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630

P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323

So

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

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3 years ago
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Answer:

1.35

Step-by-step explanation:

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