3x + y = 5 2x - 2y = -2
2 answers:
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Answer:
The lower bound of the probability that there will be between 100 and 140 passengers 96%.
Step-by-step explanation:
The Chebyshev's theorem states that, the probability that <em>X</em> is within <em>k</em> standard deviation of mean is given by,
Here, k is any positive number.
The given information is:
Mean (<em>µ</em>) = 120
Standard deviation (<em>σ</em>) = 16.
Then, we need to compute, P (100 ≤ X ≤ 140).
Then,
Since, these two values coincide it implies that the event (66000, 78000) is centered about the mean.
Also, the event P (100 ≤ X ≤ 140) is equivalent to having X within 5 standard deviation of the mean.
That is, <em>k</em> = 5.
Then for k = 5,
That is, <em>P</em> (100 ≤ <em>X</em> ≤ 140) ≤ 0.96 .
Thus, the lower bound of the probability that there will be between 100 and 140 passengers 96%.
It will take 0.556 seconds for an echo to reach one's ears
<h3>Calculating the time to hear an echo</h3>From the question, we are to determine how long it would take an echo to reach one's ears
From the formula,
NOTE: To hear an echo, the sound will travel to and fro, hence, it will cover twice the distance
From the given information,
Distance = 92.0 m
NOTE: Speed of sound in air at 0 °C ≅ 331 m/s
Putting the parameters into the formula, we get
Time = 0.556 secs
Hence, it will take 0.556 seconds for an echo to reach one's ears.
Learn more on Calculating the time to hear an echo here: brainly.com/question/16676723
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