Answer:
33% Decimal form: .333333 repeating.
Step-by-step explanation:
Took test. I see the question you was trying to do.
Answer:
L = 15.53 ft
Step-by-step explanation:
using diagram which is attached below
now, using Pythagoras theorem
L² = b² + (5 + x)²...............(1)
using similarity of triangle


from equation (1)




for maxima or minima

x = -5 and x = ∛190 = 5.74
on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder
now,
L² = 241.38
L = 15.53 ft
Answer:
The answer is below
Step-by-step explanation:
The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places.
(a) What is the probability that more than three aircraft arrive within an hour?
(b) If 30 separate one-hour intervals are chosen, what Is the probability that no interval contains more than three arrivals?
(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.1.
Solution:
a) A poisson distribution is given by the formula:

λ = 1 hour
Therefore:
P(X > 3) = 1 - P(X < 3) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(x = 3)]




P(X > 3) = 1 - [0.3679+0.3679 + 0.1839 + 0.0613] = 0.019
b) Assuming 30 1 hour intervals, hence:
![P(X \leq 3)^{30}=[1-P(X\geq 30)]^{30}=(1-0.019)^{30}=0.5624](https://tex.z-dn.net/?f=P%28X%20%5Cleq%203%29%5E%7B30%7D%3D%5B1-P%28X%5Cgeq%2030%29%5D%5E%7B30%7D%3D%281-0.019%29%5E%7B30%7D%3D0.5624)
c) mean = 1 hour
mean = 1 / λ
1 = 1 / λ
λ = 1
The cumulative distribution function of a continuous variable is:


Answer:
40 students would choose rap. Hope this helps! BTW nice job scaring people off
It is 40 because the total in the graph is 50 so you have to multiply everything by 4