Answer:
A. 3s
Step-by-step explanation:
The height of the object after t seconds is given by:
When will the object hit the ground?
It hits the ground after t seconds, and t is found when . So
3 seconds, so the correct answer is given by option a.
What's a prime number
1 answer:
You might be interested in
Answer:
Fast ball challenge
Step-by-step explanation:
Given
Slow Ball Challenge
Fast Ball Challenge
Required
Which should he choose?
To do this, we simply calculate the expected earnings of both.
Considering the slow ball challenge
First, we calculate the binomial probability that he hits all 7 pitches
Where
--- pitches
--- all hits
--- probability of hit
So, we have:
Using a calculator:
--- This is the probability that he wins
i.e.
The probability that he lose is:
---- Complement rule
The expected value is then calculated as:
Using a calculator, we have:
Considering the fast ball challenge
First, we calculate the binomial probability that he hits all 3 pitches
Where
--- pitches
--- all hits
--- probability of hit
So, we have:
Using a calculator:
--- This is the probability that he wins
i.e.
The probability that he lose is:
---- Complement rule
The expected value is then calculated as:
Using a calculator, we have:
So, we have:
-- Slow ball
--- Fast ball
<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>