Formula to find the slope (y1-y2)/(x1-x2)
if (x1,y1) is (13,2) and (x2,y2) is (15,14)
(2-14)/(13-15)=6
Answer:
a) 
b) 
Step-by-step explanation:
Let's define the following events first:
F: The event that a course has a final exam.
R: The event that a course requires a research paper
From the info provided we have that:
P(F and R) =0.32
So then we can create a Venn diagram as we can see on the figure attached.
a. Find the probability that a course has a final exam or a research project.
For this case we can find the probability like this:

b. Find the probability that a course has NEITHER of these two requirements.
For this case we can use the complement rule and we can find the probability like this:

And that's the same value obtained with the diagram.
Can you show a clearer picture ??
Answer:
12 fiction books.
Step-by-step explanation:
Let b represent number of non-fiction books.
We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be
.
We are also told that there are 44 books in school library. We can represent this information in an equation as:

Let us solve for x.






Therefore, there are 32 non fiction books in the library.
Number of fiction books would be 
Therefore, there are 12 fiction books in the library.