Answer:
elimination
Step-by-step explanation:
Answer:
If a person selected at random from this group is a man, there is a 31.25% probability that the person favors raising the drinking age.
Step-by-step explanation:
We have these following informations:
There are 1000 people in total.
540 favored raising the age. Of them 390 were female, and 540-390 = 150 were male.
460 were opposed. Of them, 130 were female and 460-130 = 330 were males.
If a person selected at random from this group is a man, what is the probability that the person favors raising the drinking age?
There are 150+330 = 480 males. Of them, 150 favors raising the drinking age.
So

If a person selected at random from this group is a man, there is a 31.25% probability that the person favors raising the drinking age.
Explanation:
It can help to draw your own figure with the right angles better represented. You will notice that right triangles PQR and PRS share side RS. PQ is the hypotenuse of one of them; RS is the hypotenuse of the other.
We can write two equations that make use of the Pythagorean theorem:
PQ² = PR² +RQ²
RS² = QS² +RQ²
Then we can swap sides of the first equation and subtract the second equation. This gives ...
(PR² +RQ²) -(RS²) = (PQ²) -(QS² +RQ²)
Adding RQ², we can write this as ...
PR² -RS² +2RQ² = PQ² -QS²
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The given relationship PR > RS means that PR² -RS² will be positive, so the left side of this equation must be positive.
Since PQ² - QS² is a positive number, PQ > QS.