Answer with Step-by-step explanation:
We are given that two events A and B are mutually exclusive.
a.For mutually exclusive events,
Therefore, event A can not occurred if event B has occurred because two events can not occur together.
Answer:No, by definition mutually exclusive events cannot occur together.
b.When two events are independent
Then ,
If two events are mutually exclusive then
Then ,
Therefore,
Hence, we can concluded that events A and B are not independent if they are mutually exclusive.
Answer:Yes,
So the formula for an arithmetic sequence (where you're adding or subtracting by the same number each time) is = + d(n - 1)
In this equation:
is the nth term
is the first term
d is the common difference (the number you're adding or subtracting each time)
n is the number of the term (e.g. 1st term, 2nd term, 3rd term etc)
So we're given that = -27, and we can find that d = 15 (because we add 15 each term). We just plug these values into the equation to get...
= -27 + 15 (n - 1)
It looks like that's your answer, D. But if you needed to solve it out further, you could:
We can use the distributive property...
= -27 + 15n - 15
Then combine like terms...
= 15n - 42
Hope that helps! Feel free to message me if you need clarification
Answer:
43b. (-1, 2)
43a. (1, -3)
36b. Yes: (0,9)
Step-by-step explanation:
<u>43b</u>. x+y=1
-x+y=3
----------------------
2y=4 > y=2
2+x=1 > x=-1
check:
2(-1)+2=0
0=0
<u>43a</u>. can you figure this one out by yourself and then check it? If you can't I will show my work. The answer is above. :)
<u>36b</u>. y-(0)^2=9
y=9
Answer:
21°
Step-by-step explanation:
<DCB = 3x + 8°
< DAB = 5x + 4°
Now
<DCB + <DAB = 180° { being opposite angles of cyclic quadrilateral }
3x + 8° + 5x + 4° = 180°
8x + 12° = 180°
8x = 180° - 12°
8x = 168°
x = 168° / 8
Therefore x = 21°
Hope it will help :)