Answer:
0.36427
Step-by-step explanation:
Mean = λ = 18 messages per hour
P(X = x) = (e^-λ)(λ⁻ˣ)/x!
P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)
But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)
P(15 < X < 20) = P(X < 20) - P(X ≤ 15)
These probabilities will be evaluated using a cumulative frequency calculator.
P(X < 20) = 0.65092
P(X ≤ 15) = poissoncdf(18, 15) = 0.28665
P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.
You can use the Poisson distribution calculator here
https://stattrek.com/online-calculator/poisson.aspx
Answer:
The answer is option b, its absolute value in simplified form gives

Step-by-step explanation:
Which of the following radical expressions has an absolute value symbol in its simplified form?
Answer option
6√64x^6
3VWjZbdGugPfWdqwB2+ZNNUbUB29afvQFuZASCHvF-8x^3
5√32x^5
4VWjZbdGugPfWdqwB2+ZNNUbUB29afvQFuZASCHvF16x
6√64x^6
to solve this
48x^3
b. 3√-8x^3
3*2√-2x^3
6√2x^3*√-1
6√2x^3j
which is a complex notation
5√32x^5
5*4√2x^5
20√2x^5
4√16x
4*4√x
16√x
A. So we know that a 6 foot figure casts a shadow 4 feet long. 4 foot shadow x 5 = a 20 foot shadow. So this means we take 6 x 5 = 30, and the tree is 30 feet tall.
B. 30 - 6 = 24 feet taller than Frank
the answer is 1 2 and 3 because they cant be divided by anything
1x12 2x6 3x4 those are all the factors of 12