Answer:
There is no graph.
Step-by-step explanation:
The probability that more than 12 particles occur in the area of a disk under the study is <u>0.20844</u>.
The number of particles follows a 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, x = 12.
λ = 100*0.1 = 10.
To find : P(X > 12)
P(X > 12) = 1 - P(X ≤ 12) = 1 - poissoncdf(10,12)
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 > 12) = 1 - 0.79156 = 0.20844.
Therefore, the probability that more than 12 particles occur in the area of a disk under the study is <u>0.20844</u>.
Learn more about the Poisson Distribution at
brainly.com/question/7879375
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A= 3400t + 600 | given formula
21000= 3400t + 600 | substitute the altitude into the formula
20400 = 3400 | subtract 600 from both sides
6 = t | divide both sides by 3400
6 minutes
If you would like to solve 1/(x + 3) = (x + 10)/(x - 2), you can do this using the following steps:
<span>1/(x + 3) = (x + 10)/(x - 2)
</span>1 * (x - 2) = (x + 10) * (x + 3)
x - 2 = x^2 + 3x + 10x + 30
0 = x^2 + 13x + 30 - x + 2
0 = x^2 + 12x + 32
0 = (x + 8) * (x + 4)
1. x = -8
2. x = -4
The correct result would be x = -8 and x = -4.
Answer:
f(x) = 2π (11 + sin x) √(1 + cos²x)
Step-by-step explanation:
Surface area of a curve rotated about y = a is:
S = ∫ 2π (y − a) ds,
where ds = √(1 + (dy/dx)²) dx.
y = 6 + sin x, and a = -5. dy/dx = cos x. Plugging in:
S = ∫₀²ᵖⁱ 2π (6 + sin x − -5) √(1 + cos²x) dx
S = ∫₀²ᵖⁱ 2π (11 + sin x) √(1 + cos²x) dx
Therefore, f(x) = 2π (11 + sin x) √(1 + cos²x).