How to find the range of f(x)=1/sinx, and how to know how to draw it
1 answer:
Answer:
see the attached for a graph
the range is (-∞, 1] ∪ [1, ∞)
Step-by-step explanation:
You know the range of the sine function is [-1, 1], including zero. So, the minimum absolute value of 1/sin(x) will be 1/1 = 1, and it will go up from there (or down from -1) toward infinity. The vertical asymptotes will be where sin(x) = 0, at multiples of π.
To graph it by hand, you can pick a few points in any quadrant of the sine function and find their inverses. Plot those. You can take advantage of the symmetry about π/2 and about the origin. You can also take advantage of the periodicity.
A graph is attached.
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Answer:
The probability that at least 13 flights arrive late is 2.5196 .
Step-by-step explanation:
We are given that Southwest Air had the best rate with 80 % of its flights arriving on time.
A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 18 Southwest flights
r = number of success = at least 13 flights arrive late
p = probability of success which in our question is probability that
flights arrive late, i.e. p = 1 - 0.80 = 20%
Let X = <u><em>Number of flights that arrive late</em></u>.
So, X ~ Binom(n = 18, p = 0.20)
Now, the probability that at least 13 flights arrive late is given by = P(X 13)
P(X 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)
=
=
= 2.5196 .