How many more copies of the cats meow would the bookstore sell in one year than mays lamb
2 answers:
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Answer:
And that represent the probability that they take longer than 7 minutes to solve the puzzles.
Step-by-step explanation:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
On this case we have that n= 56 represent the employees selected to solve the puzzles.
We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.
Let's define the events A and A' like this:
A: Employees solved puzzles in less than 7 minutes
By the complement rule then:
A' : Employees solved puzzles in more than 7 minutes
Based on this we are interested to find the probability for A'
We can begin finding P(A), from the definition of probability we know:
For this case if we replace we got:
And using the complemnt rule we got:
And solving for P(A') we got:
And that represent the probability that they take longer than 7 minutes to solve the puzzles.
Answer:
x ∈ (-∞, -1) ∪ (1, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:
So the roots are:
Therefore we can write the expression in the following way:
Now the expression is as follows:
Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:
We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
when
when
and
is always
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞)
