Answer:
.
Step-by-step explanation:
Given the statement
If
, then E and F are mutually exclusive events.
If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.
Therefore, the statement is always true as P(E∩F)=0
For mutually exclusive events:
.
Answer:
Step-by-step explanation:
Split the polygon into 3 triangles as pictured below
<u>They have base and height:</u>
- 4 and 3, 1 and 1, 3 and 1
<u>Find the area of 3 triangles and add up:</u>
- A = 1/2*4*3 + 1/2*1*1 + 1/2*1*3 = 6 + 1/2 + 3/2 = 8 square units
The answer is Area= 50.265 and the circumference is 25.133
The value of f⁻¹(f(58)) is 58 and the value of the function f(f(5)) is 11
<h3>How to solve the function values?</h3>
As a general rule, we have:
f⁻¹(f(x)) = x
Substitute 58 for x
So, we have:
f⁻¹(f(58)) = 58
Hence, the value of f⁻¹(f(58)) is 58
Also, we have:
f(f(5))
From the table, we have:
f(5) = 9
So, we have:
f(f(5)) = f(9)
From the table, we have:
f(9) = 11
So, we have:
f(f(5)) = 11
Hence, the value of the function f(f(5)) is 11
Read more about invertible function at:
brainly.com/question/14391067
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Answer:
37.7cm³
Step-by-step explanation:
pi×r² h/3
3.14×2² 9/3
=37.7cm³