A dodecahedron number die has 12 faces. Each face is painted with one of the numbers from 1 to 12. Suppose you roll a fair dodecahedron die
and record the value on the top face.
a) What is the total number of possible outcomes of the sample space?

b) Let A be the event of selecting an odd number. List all the possible
outcomes of event A.

c) Let B be the event of selecting a number that is a multiple of 5.
Find P(B).

d) Draw a Venn diagram for the sample space and the two events
A and B. Place all possible outcomes in the Venn diagram.

e) From the Venn diagram, tell whether events A and B are mutually
exclusive events? Explain your answer.

f) Find the probability of the complement of B, noted P(B’).

the answer is 24

step-by-step explanation:

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )