(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:
7c^2d-7c+4d-10
Step-by-step explanation:
Start off with the term that has c^2 in it. 5c^2d + 2C = 7c^2d, then since you have multiple choice, the d value differs between the two answer choices that have 7c^2d so you can do +3d +d to get +4d to get the fourth answer choice.
To check your work, you can add/subtract each term to see if you get 7c^2d-7c+4d-10
Answer:
20.83 yard
Step-by-step explanation:
<u>Calculate Cubic Yards</u>
Calculate your area
Calculate your volume: Multiply area times the depth to get volume in cubic feet
Calculate your cubic yards: Divide cubic feet by 27 to convert to cubic yards and this is your answer
Where ft2 = square foot, ft3 = cubic foot, yd3 = cubic yard
Total yards = 5[x] + x + 8
<u>Solve</u>
133 = 6x + 8
6x = 125
x = 20.83 yard
Therefore, the Cyclone cleared 20.83 yards on the first day.
Answer:
-5.6
Step-by-step explanation:
first distribute the 2.5
also convert the 2/5 to decimal (0.4) because it's hard to work with both decimal and fraction
2.5y + 2.5*0.4 = -13
2.5y +1 = -13
y = -14/2.5 = -5.6