the denominator cannot be zero, because the division by zero is not defined, therefore:
Therefore the domain of (f o g)(x) is:
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1 answer:
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Answer:
x = 6
Step-by-step explanation:
Given
y = x - 3 and y = 11, thus
x - 3 = 11 ( add 3 to both sides )
x = 14
Multiply both sides by 3 to clear the fraction
7x = 42 ( divide both sides by 7 )
x = 6
Answer:
A) 0.1612
B) 0.8031
C) 0.1969
Step-by-step explanation:
For each toss of the die, there are only two possible outcomes. Either it is a 3, or it is not. The probability of getting a 3 on each toss is independent from other tosses. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Five tosses, so
The die has 6 values, from 1 to 6. The die is fair, so each outcome is equally as likely. The probability of a 3 appearing in a single throw is
(a) twice
This is
(b) at most once
(c) at least two times.
Either a 3 appears at most once, or it does at least two times. The sum of the probabilities of these events is decimal 1. So
We want
So