Answer:
a) 
b) 
c) 
d) 
e) The intersection between the set A and B is the element c so then we have this:

Step-by-step explanation:
We have the following space provided:
![S= [a,b,c,d,e]](https://tex.z-dn.net/?f=%20S%3D%20%5Ba%2Cb%2Cc%2Cd%2Ce%5D)
With the following probabilities:

And we define the following events:
A= [a,b,c], B=[c,d,e]
For this case we can find the individual probabilities for A and B like this:


Determine:
a. P(A)

b. P(B)

c. P(A’)
From definition of complement we have this:

d. P(AUB)
Using the total law of probability we got:

For this case
, so if we replace we got:

e. P(AnB)
The intersection between the set A and B is the element c so then we have this:

The difference between the 26 mile trip and 38 mile trip is 12 miles.
The difference in the price is $3.00 ($65.50 - $62.50)
So those 12 miles cost $3.00 $3.00÷12 = $.25 per mile
We can use either given trip to solve. I will use the 38 mile trip.
The difference between 38 miles and 54 miles is 16 miles. At $.25 a mile those 16 miles will add $4.00 to the price. ($.25 x 16 = $4.00)
Since the 38 mile trip costs $65.50 we add $4.00 and get $69.50 for a 54 mile trip.
Answer:

Step-by-step explanation:
The domain is simply the farthest left ppint to the farthest right point on the graph.
Answer:
salut
X+6=45
X=45-6
X=39
Step-by-step explanation:
The two angles are 30 degrees and 60 degrees
<em><u>Solution:</u></em>
Given that,
The measures of two complementary angles have a ratio of 1 : 2
Let the one of angle be 1x
Let the other angle be 2x
We know that,
Sum of two complementary angles is 90 degrees
Therefore,
1x + 2x = 90
3x = 90
Divide both sides by 3
x = 30
<em><u>Therefore, measure of each angles is:</u></em>
One angle = 1x = 30
Other angle = 2x = 2(30) = 60
Thus the two angles are 30 degrees and 60 degrees