Using the Poisson distribution, the probabilities are given as follows:
- Less than 6: 0.3837 = 38.37%.
- Exactly 6: 0.1586 = 15.86%.
<h3>What is the Poisson distribution?</h3>
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
The parameters are:
- x is the number of successes
- e = 2.71828 is the Euler number
is the mean in the given interval.
For this problem, the mean is given by:
The probability that exactly 6 tickets are written on a randomly selected day from this population is P(X = 6), hence:
[tex]P(X = 6) = \frac{e^{-6.4}(6.4)^{6}}{(6)!} = 0.1586/tex]
For less than 6, the probability is given by:
P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
Using the same formula to find each value and adding them, we have that:
P(X < 6) = 0.3837.
More can be learned about the Poisson distribution at brainly.com/question/13971530
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As with any odd-degree polynomial, ...
the domain is "all real numbers"
the range is "all real numbers"Here is a graph.
The angle of elevation of the sun from the ground to the top of a tree is 36°.
We are given that:
The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.
Now by using the trigonometric identity .
tan θ = P / B
As figure is given below .
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Putting all the values in the trigonometric identity .
tan θ = 10 / 14
θ = 36°
Therefore, the angle of elevation of the sun from the ground to the top of a tree is 36°.
Learn more about angle of elevation here:
brainly.com/question/1851601
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Answer:
3r^3-27r, the main thing that is gonna help you to solve for this is by using FOIL.
Answer:
16-2n=-8+4n-12
16+8+12=4n
36/4=n
9=n
Step-by-step explanation:
