Answer:
Step-by-step explanation:
Definitions and concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
And the parameter 
represent the average ocurrence rate per unit of time
For this case we know that 
And we want the probability that during the next five minutes, three cars will arrive, so then our rate becomes:
And we want this probability:
And if we use the pmf we got:
Answer:
2/(7a) < x < 7
Step-by-step explanation:
The product of roots of ax² +bx +c is c/a. In this case, that means the second root of the equation is ...
... 2/(7a)
Since a < 0, the parabola opens downward and 2/(7a) < 0. The quadratic function will be positive between the two roots, on the interval ...
... 2/(7a) < x < 7
Answer:
c = 49°
Step-by-step explanation:
Inside of the triangle angles:
- c–18°
- c–16°
- 180°-(c+15) → -c+165
these angles sum up to total 180° angle
-c+165+c-16°+c–18° = 180
c +131 = 180
c = 180° - 131°
c = 49°
Answer:
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Step-by-step explanation:2 times 5
