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:
c. 8 units
Step-by-step explanation:
You are to find the y-intercepts of the two functions given, then report the difference between them. The y-intercept is the y-value when x=0.
For f(x), we have ...
f(0) = 3·2^0 = 3·1 = 3
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For the table, we can see that x=0 is halfway between x=-2 and x=2, so the y-intercept can be expected to be halfway between y=3 and y=-13. That value for y is ...
g(0) = (3 + (-13))/2 = -10/2 = -5
That is, the y-intercept of g(x) is -5.
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The difference between f(0) and g(0) is ...
f(0) -g(0) = 3 -(-5) = 8 . . . . units
