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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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Simplify. 32 + 5 × 2 − 8 A) −84 B) 8 C) 11 D) 20
navik [9.2K]

32 + 5 × 2 − 8

32+10-8

42-8= 34

The answer should be 34 but I don't see it up there

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4 0
3 years ago
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Stacie is choosing between two careers. Working for company A, Stacie will make $45,000 the first year and will receive an addit
fomenos

The expression in company B represents that is is in arithmetic progression where first term is 42000 and common difference is 1800 . So we have to use the formula of sum of n terms which is

S=\frac{n}{2}(2a +(n-1)d)

Where a is the first term, n is the nth term, d is the common difference

On substituting there values,we will get

S =\frac{30}{2}(2*42000+(30-1)1800)

= 15(84000+52200) = 15*136200 =2043000

And for company A, it is

S= \frac{30}{2}(2*45000+(30-1)1500 ) = 15(90000+43500)=2002500

Difference between them =2043000-2002500= 40500

So the correct option is the second option .

6 0
3 years ago
Pls help asap I will mark brainlist
Luba_88 [7]

<u>Answer</u>:

A. y = \frac{-2}{3}x + 3

<u>Explanation</u>:

slope: \frac{y2-y1}{x2-x1}

         : \frac{1-3}{3-0}

         : \frac{-2}{3}

equation: y - y1 = m( x - x1 )

                y - 1 = \frac{-2}{3}( x - 3 )

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6 0
2 years ago
Usethe distributive property to express28+42
tankabanditka [31]

Answer:

To express the sum of two numbers using distributive property, we factor out the highest common factor (HCF) of the two numbers (i.e. the greatest number that can divide the two numbers without remainder)

28 = 2 x 2 x 7

42 = 2 x 3 x 7

The HCF of 28 and 42 is given by 2 x 7 = 14

Therefore, we express 28 + 42 using distributive property thus: 14(2 + 3)

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3 years ago
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Determine the nth term for each of the following sequences: 2,5,8,11,14,..
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To determine the nth term, we must create a function.

f(n) = 1st term + common difference (n - 1)

n = term you are looking for
1st term = 1st number in the sequence
common difference = the difference between two consecutive numbers in the sequence.

based on the above sequence, the 1st term is 2, its common difference is 3.

f(n) = 2 + 3(n-1)

Assuming we are looking for the 5th term
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For any other value of the nth term, simply substitute n by the number of the term and solve the equation.
8 0
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