Determine the interval(s) on which the given function is-decreasing.
1 answer:
A function assigns the values. The interval for which the given function will be decreasing is (-∞, -1)∪(0,∞).
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
The interval for which the given function will be decreasing is from point A to point B, and then from point C to point D. Therefore, the interval will be (-∞, -1) and (0,∞). Hence, The interval for which the given function will be decreasing is (-∞, -1)∪(0,∞).
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Answer:
a) 20.61%
b) 21.82%
c) 42.36%
d) 4 withdrawals
Step-by-step explanation:
This situation can be modeled with a binomial distribution, where p = probability of “success” (completing the course) equals 80% = 0.8 and the probability of “failure” (withdrawing) equals 0.2.
So, the probability of exactly k withdrawals in 20 cases is given by
a)
We are looking for
P(0;20)+P(0;1)+P(0;2) =
0.0115292150460685 + 0.0576460752303424 + 0.136909428672063 = 0.206084718948474≅ 0.2061 or 20.61%
b)
Here we want P(20;4)
c)
Here we need
But we already have P(0;20)+P(0;1)+P(0;2) =0.2061 and
d)
For a binomial distribution the <em>expectance </em>of “succeses” in n trials is np where p is the probability of “succes”, and the expectance of “failures” is nq, so the expectance for withdrawals in 20 students is 20*0.2 = <em>4 withdrawals.</em>