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.
Alright, so we can start by dividing -2 from both sides, getting |5y-1|=20. Then, since 5y-1 is in an absolute value, 5y-1 is either 20 or -20.
In 5y-1=20, we can add one to both sides, getting 5y=21 and y=21/5. In
5y-1=-20, we can add one again, getting 5y=-19 and y=-19/5.
If you have any more equations, make sure to plug both numbers in to check, but otherwise y has two answers , which are -19/5 and 21/5.
Use the formula to help Sa(lw)+(Hw)+(Lh)
Answer:
y=mx+b
Step-by-step explanation:
Answer:
Step-by-step explanation:
This seems more like a physics questions, but i'll help you :P
the circle is 8 feet across or a radius of 4 feet
circumference of the circle is 2
r = 25.132741 feet
it's going around 420 times a minute
420 * 25.132741 = 10555.75132 feet per minute
10,555.75