(a)
The sample space is a set whose elements are all the possible outcomes for the experiment. Since we will extract one of the months of the years, the sample space is the set composed by all the 12 months:
(b)
An event is a subset of the sample space. Events are often defined by their properties. In this example, the event E is the subset of the sample space defined as
So, we have
(c)
If all outcomes have equal probability, then the probability of an event is the ratio bewteen its cardinality, and the cardinality of the whole sample space:
In words, since there are three months beginning with J out of 12 months, we have a probability of 3 over 12 to pick a month starting with J, which simplifies to 1 over 4.
1)Obtuse Triangle: A triangle with one obtuse angle.
2)Acute Triangle: A triangle where all three angles are acute.
3)Equiangular Triangle: A triangle where all the angles are congruent.
4)Isosceles Triangle: A triangle with at least two congruent sides.
5)Equilateral Triangle: A triangle with three congruent sides
Answer:
One point greater than the last grade
Step-by-step explanation:
1. First off, N is the variable, so that means it can be any number, and when it uses the word <em>greater</em>, it means to ADD another number, which means one point greater.
It is often more convenient to evaluate a polynomial when it is written is "Horner form."
... f(x) = (((10x -4)x -8)x +3)x -6
The graphs offered can be distinguished by their values of f(1) and f(2), so our table can be a short one.
... f(1) = (((10·1 -4)1 -8)1 +3)1 -6 = -5 . . . . . . . eliminates graph d
... f(2) = (((10·2 -4)2 -8)2 +3)2 -6 = 96 . . . . eliminates graphs a and c
The appropriate choice is b.
