a. The events are mutually exclusive, so

b. For the same reason,

Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:

and the right side reduces to 0.
c. Same as (b),

d. Same as (b),

We can also use the distributivity rule for unions and intersections to write

e. If the
is the complement of
, then by DeMorgan's law,

The difference in the rate of change of both functions is: 15.
<h3>What is the Rate of Change of a Function?</h3>
Rate of change of a linear function = change in y / change in x.
Function A is given as: y = 35x. The rate of change for function A is 35.
From the graph of function B, using two points, (1, 50) and (2, 100):
Rate of change = (100 - 50)/(2 - 1)
Rate of change = 50.
Therefore, the difference in the rate of change of both functions = 50 - 35 = 15.
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Answer:
See below
Step-by-step explanation:
1-0+0-2+1=0, so since 0/11=0, it's divisible by 11
The rule for divisibility by 11 is that you subtract then add then subtract then add and so on, and if you get a number divisible by 11 or equal to 0, then it's divisible by 11.
Hope that made sense.
Answer:
Almost 5 reams of paper will be needed.
Step-by-step explanation:
Number of reams = 7
Each reams have pages = 500
Total pages he has = 7* 500 = 3500
Number of reports = 16
Pages each report has = 355
Total pages to be printed = 16* 355 = 5,680
Pages to be purchased = 5,680 - 3500
Pages to be purchased = 2,180
For calculating number of reams to be purchased, divide the number of pages with 500 as follows
Number of reams needed = 2,180/500
Number of reams needed = 4.36
As 4 reams will not be enough so he has to buy 5 reams i order to have required printing.
I hope it will help You!
Answer:
idrk if this is the answer u are looking for for but the poygon is an octagon
Step-by-step explanation: