Answer:
Odds against the events are 7/9.
Step-by-step explanation:
It is given that:
Odds in favor of event = 2 : 9 or 2/9
Let,
These odds are out of 1.
The odds against the event would be
Odds against = 1 - 2/9
Odds against =
Odds against =
Therefore,
Odds against the events are 7/9.
9514 1404 393
Answer:
m∠B < m∠A < m∠C
Step-by-step explanation:
We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.
For n = 4, the side lengths are ...
a = 2(4) = 8
b = (4) +3 = 7
c = 3(4) -2 = 10
The longest side is opposite the largest angle, so the ordering of angles is ...
m∠B < m∠A < m∠C
_____
The triangle inequality requires all of these inequalities be true:
That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.
