The definition of two events being mutually
exclusive (or disjoint) only means that it is not possible for the two events to
occur together. Given two events, E and F, they are mutually
exclusive and also mean independent.
In this case, since events E and F are mutually
exclusive, therefore the probability that either E or F will occur will simply
be the sum of two events.
P (E or F) = P (E) + P (F)
P (E or F) = 0.25 + 0.51
P (E or F) = 0.76
Therefore this means that there is a 76% probability that
either E or F will occur.
First, we can see that there are four sides, and none of these equation contradict each other, so it is safe to say that <em>this is a quadrilateral</em>.
Second, all of the equations have the slope of <em>0 or undefined</em>, so it is a rectangle.
Lastly, the four points of intersection shows us that the side lengths are <em>3 and 5</em> units, so the area of it is 15 units².
The equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
We have two points shown in the table:
(-1, -10), and (3, 14)
y - 14 = 6(x - 3)
y = 6x - 4
Thus, the equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.
Learn more about the slope of the straight line here:
brainly.com/question/3493733
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9514 1404 393
Answer:
- Mark: s = 200 +20j
- Ryan: s = 350 +15j
- 30 jobs
Step-by-step explanation:
The amount in savings (s) will be the initial amount plus the product of the pay per job and the number of jobs (j).
<u>Mark</u>
He initially has $200, and is paid $20 per job. His savings will be ...
s = 200 +20j
<u>Ryan</u>
He initially has $350, and is paid $15 per job. His savings will be ...
s = 350 +15j
<u>Same Savings</u>
The savings will be the same when the difference between the amounts is zero:
s - s = 0
(200 +20j) -(350 +15j) = 0 . . . . . substitute the expressions for s
-150 +5j = 0 . . . . . collect terms
-30 +j = 0 . . . . . . . divide by 5
j = 30 . . . . . . add 30
The brothers will have the same amount in savings after they each work 30 jobs.
