A coin is flipped three times. H represents heads, and T represents tails. What is the sample space?
2 answers:
Answer:
The sample space is S={HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}
Step-by-step explanation:
Given that a coin is flipped three times.
H represents heads, and T represents tails.
we have to find the sample space.
The sample space contains elements.
As three times the coin is flipped.
∴ The possible outcomes i.e the sample space is
S={HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}
The first choice is correct option.
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Answer:
Relative minimum: , Relative maximum:
Step-by-step explanation:
First, we obtain the First and Second Derivatives of the polynomic function:
First Derivative
(1)
Second Derivative
(2)
Now, we proceed with the First Derivative Test on (1):
The critical point is .
As the second derivative is a constant function, we know that critical point leads to a minimum by Second Derivative Test, since .
Lastly, we find the remaining component associated with the critical point by direct evaluation of the function:
There are relative maxima.