The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. W
2 answers:
Answer:The number of seconds after rocket is released
Step-by-step explanation:
Given
The height of a rocket after it is released is modeled by
Here t represent the number of seconds after the rocket is released.
Initial velocity can also be determined by this equation by differentiating the w.r.t time
at t=o
thus initial velocity will be 32 units/s
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The probability that at least 40 jobs will be submitted in 15 minutes is <u>0.79162</u>.
The number of jobs submitted per minute follows Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as .
In the question, we have the random variable x = 40.
The mean λ = Average jobs per minute*time = 3*15 = 45.
We are to find the probability that at least 40 jobs will be submitted in 15 minutes, which is represented as P(X ≥ 40) = P(X > 39).
P(X > 39) = 1 - P(X ≤ 39) = 1 - poissoncdf(45,39)
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
Therefore, P(X > 39) = 1 - 0.20838 = 0.79162.
Therefore, the probability that at least 40 jobs will be submitted in 15 minutes is <u>0.79162</u>.
Learn more about the Poisson Distribution at
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