(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.
Answer:
Area
square units
units
units
Step-by-step explanation:
In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.
So,

a. The area of the triangle ABC is

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

10 because x+x = 20
a+b=c
Answer:
Yes, *2
Step-by-step explanation:
The second figure is exactly half of the first figure
Answer:
x=1/5
Step-by-step explanation:
-5x-(-7-4x)=-2(3x-4)
-5x+7+4x=-6x+8
-5x+4x+7=-6x+8
-x+7=-6x+8
-x-(-6x)+7=8
-x+6x+7=8
5x+7=8
5x=8-7
5x=1
x=1/5