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11111nata11111 [884]
3 years ago
15

The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability

of exactly five tunnel construction projects taking place in this state.
Mathematics
1 answer:
slega [8]3 years ago
6 0

Answer: 0.1008188

Step-by-step explanation:

The question will usng the poisson distribution formula:

Given :

Mean(λ) number of occurrence in a given interval = 3

P(X=x) = Probability of exactly x occurrence in a given interval

Number of desired occurence(x) = 5

P(X=x) = [(λ^x) * (e^-λ)] / x!

Where ; e = base of natural logarithm = 2.7182818

P(X=5) = [(3^5) * (e^-3)] / 5!

P(X=5) = [(243) * (0.0497870)] / 120

P(X=5) = [12.098257] / 120

P(X=5) = 0.1008188

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2 years ago
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3 years ago
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Ksju [112]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

1. Find Angle A :

  • x  + 24 = 3x

  • 3x - x =   2 4

  • 2x = 24

  • x = 12

Angle A :

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  • 3 \times 12

  • 36 \degree

2. Find Angle B :

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Angle B :

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  • 90 - 27

  • 63 \degree

Find Angle C :

  • 5x + 1 = 6x  - 13

  • 6x - 5 x =  1 + 13

  • x = 14

Angle C :

  • 5x + 1

  • (5 \times 14) + 1

  • 70 + 1

  • 71 \degree

Find Angle D :

  • 6x  +  3 = 4x + 39

  • 6x - 4x = 39  -  3

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Angle D :

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And it's given :

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  • 63° = Angle B = A

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Therefore, the answer will be " BAHE "

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Why is the simplified value of the expression below? -8*(-3)
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