Before a new video game is released, it is tested by a number of volunteer gamers. During testing, the experimental probability
2 answers:
Answer:
2000 players will complete the game with a perfect score.
Step-by-step explanation:
The testing phase tells us that is the probability that a person will finish with a perfect score.
This means 1 out of 500 people will be able to finish with perfect score.
Now,
the game is given to 1,000,000 (1 million) people and how much do we expect to finish with perfect score?? Simple! It would be the of 1 million!
We do the calculation shown below:
So, 2000 players will complete the game with a perfect score.
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<h2>Answer with explanation:</h2>
Rolle's Theorem states that:
If f is a continuous function in [a,b] and is differentiable in (a,b)
such that f(a)=f(b)
Then there exist a constant c in between a and b i.e. c∈[a,b]
such that: f'(c)=0
Here we have the function f(x) as:
where x∈[-1,3]
- Since the function f(x) is a polynomial function hence it is continuous as well as differentiable over the interval [-1,3].
Also,
f(-1)=15
(Since,
)
and f(3)=15
( Since,
)
- i.e. f(-1)=f(3)
Hence, there will exist a c∈[-1,3] such that f'(c)=0
Hence, the c that satisfy the conclusion is: c=1