Write an equation and then use it to solve: Sasha gives half of her books to the local library and keeps the other half. Her bes
1 answer:
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Answer:
See the graph and explanation below.
Step-by-step explanation:
For this case we have the following function:
We can calculate some points in order to see the tendency of the graph, we can select a set of points for example and we can calculate the values for f(x) like this
x=-2
x=-1.5
x=-1
x=0
This point correspond to the y intercept.
x=1
x=2
We don't have x intercepts for this case since the functionnever crosses the x axis.
And then we can see the plot on the figure attached.
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%.