You have the numbers 1-24 written on slips of paper. If you choose one slip at random, what is the probability that you will not
1 answer:
The probability of selecting a number not divisible by 3 is: 2/3
Step-by-step explanation:
There are two methods to solve the question.
- We can find the probability of numbers not divisible by 3
- We can find the probability of numbers divisible by 3 and then find the complement of it
We will use the second method:
Given:
There are 24 slips
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}
n(S) = 24
Let A be the event that the slip number is divisible by 3
Then
A = {3,6,9,12,15,18,21,24}
n(A) = 8
The probability of number divisible by 3 is:
The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.
The probability of selecting a number not divisible by 3 will be:
The probability of selecting a number not divisible by 3 is: 2/3
Keywords: Probability
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Answer as an inequality:
Answer in interval notation:
Answer in words: Set of positive real numbers
All three represent the same idea, but in different forms.
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Explanation:
Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is
For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.
Because of this, has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.
The domain of is x > 0 which in interval notation would be
. This is the interval from 0 to infinity, excluding both endpoints.
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The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.
So,
allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.
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In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.
Answer:
Option (2)
Step-by-step explanation:
Option (1).
Therefore, both the sides of the expression are not equal.
False.
Option (2).
True.
Option (3).
False.
Option (4).
Both the sides are not equal.
False.