Answer:
0.531 (3 s.f.)
Step-by-step explanation:
Power rule is used for the 3rd step.
Which best describes the function on the graph?
1 answer:
The right answer is d. inverse variation; k=2
Inverse variation means that when increasing a variable the other decreases at the same rate or vice versa. So, we can write this statement as the following equation:
So, by plotting this equation, the result is shown in the Figure below. As you can see, this graph matches the graph above, so the conclusion is that the function has an inverse variation with k=2
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Answer:
The Answer is in the image Below.
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Answer:
a) 80% probability that he wins at least one race.
b) 30% probability that he wins exactly one race.
c) 20% probability that he wins neither race.
Step-by-step explanation:
We solve this problem building the Venn's diagram of these probabilities.
I am going to say that:
A is the probability that he wins the first race.
B is the probability that he wins the second race.
C is the probability that he does not win any of these races.
We have that:
In which a is the probability that he wins the first race but not the second and is the probability that he wins both these races.
By the same logic, we have that:
The probability that he wins both races is 0.5.
This means that
The probability that he wins the second race is 0.6
This means that
The probability that he wins the first race is 0.7.
This means that
A) he wins at least one race.
This is
There is an 80% probability that he wins at least one race.
B) he wins exactly one race.
This is
There is a 30% probability that he wins exactly one race.
C) he wins neither race
Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.
From a), we have that there is an 80% probability that he wins at least one race.
So there is a 100-80 = 20% probability that he wins neither race.