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Karo-lina-s [1.5K]
3 years ago
11

The number of earthquake tremors in a 12-month period appears to be distributed as a Poisson random variable with a mean of 6. A

ssume the number of tremors from one 12-month period is independent of the number in the next 12-month period.(a) What is the probability that there are 10 tremors in 1 year? (b) What is the probability that there are 18 tremors in 2 years? (c) What is the probability that there are no tremors in a 1-month period? (d) What is the probability that there are more than 5 tremors in a 6-month period?
Mathematics
1 answer:
vova2212 [387]3 years ago
3 0

Answer:

note:

solution is attached in word form due to error in mathematical equation. furthermore i also attach Screenshot of solution in word due to different version of MS Office please find the attachment

Download docx
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ValentinkaMS [17]

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22 is th area

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How do I solve for x
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USE INVERSE OPERATION

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21 - 3 + 8 or -14 + 31 - 6
sergejj [24]

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3 years ago
What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4
bija089 [108]

Answer:

(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)

Step by step explanation:

y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2

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3 0
2 years ago
You are riding a roller coaster when a shoe falls off your foot. The function y=300−16t2 represents the height y (in feet) of th
Juli2301 [7.4K]

Answer:

Time to land on 11ft is 4.25 seconds

Step-by-step explanation:

Given

y = 300 - 16t^2

Required

Solve for t when height is 11ft

This implies that y = 11

So: substitute 11 for y in y = 300 - 16t^2

11 = 300 - 16t^2

Collect Like Terms

16t^2 = 300 - 11

16t^2 = 289

Express both sides as squares

4^2 * t^2 = 17^2

(4t)^2 = 17^2

Take square roots of both sides (ignore negative)

4t = 17

Solve for t

t = \frac{17}{4}

t = 4.25

Hence, time to land on 11ft is 4.25 seconds

8 0
3 years ago
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