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Aleksandr-060686 [28]
3 years ago
12

The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. What is the probability

that no more than 2 customers will arrive in a minute
Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0

Answer:

The probability that no more than '2' customers will arrive in minute = 1.5412

Step-by-step explanation:

Explanation:-

Mean of the Poisson distribution 'λ' = 2 per minute

P(X=x) = e⁻ˣ λˣ/x!

The probability that no more than '2' customers will arrive in minute

P(x≤ 2) = P(x=0) +P(x=1)+P(x=2)

           = e⁻² (2)°/0! + e⁻²(2)¹/1!+e⁻² (2)²/2!

          = 1 + 0.2706 + 0.2706

          = 1.5412

The probability that no more than '2' customers will arrive in minute = 1.5412

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Answer:

A(t) = amount remaining in t years

      = A0ekt, where A0 is the initial amount and k is a constant to                     be determined.  

Since A(1690) = (1/2)A0 and A0 = 80,

                we have 40 = 80e1690k

                1/2 = e1690k

                ln(1/2) = 1690k

                k = -0.0004

So, A(t) = 80e-0.0004t

Therefore, A(430) = 80e-0.0004(430)

                           = 80e-0.172

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Step-by-step explanation:

5 0
2 years ago
Given a and b are numbers, and a + b = 180, which
Anastasy [175]
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Also, 360 = 2a + 2b is correct
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3 years ago
The first two steps in the derivation of the quadratic formula by completing the square are shown below.
lidiya [134]

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Step-by-step explanation:

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One way to convert from inches to centimeters is to multiply the number of inches by 2.54. How many centimeters are there in 1/4
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Read 2 more answers
Help me write "5x-(x-18)= " in those things. 5(-7) &lt;---- (Something like that)<br> X = -7
anzhelika [568]

Answer:

This how you get x. First the way to find the answer is to first put 5x by itself by canceling it out and putting it on the other side of the = which will be

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Which then gets  you this

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After that its

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once you have this subtract x

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Then it leaves you the easy part of just dividing

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After dividing you get x to be 3

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Hope this helps

6 0
3 years ago
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