Which two values of x are roots of the polynomial below x^2-11x+17
1 answer:
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Answer:
Step-by-step explanation:
Assuming this problem :"Only 30% of the students in a certain liberal arts college are males. If two students from this college are selected at random, what is the probability that they are both males?"
Previous concepts
An independent event is an "event that has no connection to another event's chances of happening ". For this case we can assume that if one person is male and if we select another one the probability that this one would be male or female is totally indepedent from the first selection.
When we have two independent events let's say A and B and we want to find the probability that both events occurs at the same time we can use the following formula:
Solution to the problem
We can define some notation:
first person selected is a male
second person selected is male
On this case we want the probability that both would be males. And we can express this like this on math terms:
For this case we can assume that the two events are independent. And in order to find the probability for two events independents events we just need to multiply the probabilities of each one like this:
Answer:
h ≈ 9.9 cm
Step-by-step explanation:
By applying tangent rule for the given angle in the given right triangle,
tan(51°) =
tan(51°) =
h = 8 × tan(51°)
h = 9.879
h ≈ 9.9 cm
Therefore, measure of side 'h' is 9.9 cm.
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.