(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:
21
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse (opposite the right angle)
20^2 +b^2 = 29^2
400 + b^2 =841
Subtract 400 from each side
400-400 +b^2 = 841-400
b^2 = 441
Take the square root of each side
sqrt(b^2) = sqrt(441)
b = 21
Answer:
9
Step-by-step explanation:
x= 430/46
x=9.35 approximately 9( nearest whole number)
11 student will get 10 stickers and 3 will be <span>left over.</span>
Answer:
1. The y-intercept is 10
2. The slope-intercept is -2
Step-by-step explanation:
1. The y-intercept is 10 because when the x-intercept is 0 the y-intercept should be on the other side.
2. (2,6) and (-1,12)
slope=rise/run= the change of y/the change of x=m=y2-y1/x2-x1
1. change of x=-1-2=-3 and change of y= 12-6=6
2. 6/-3= -2
hope this helps <3
