Answer: The ball hits the ground at 5 s
Step-by-step explanation:
The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:
(1)
Where
models the height of the ball in meters and
the time.
Now, let's find the time
when the ball Sara kicked hits the ground (this is when
):
(2)
Rearranging the equation:
(3)
Dividing both sides of the equation by
:
(4)
This quadratic equation can be written in the form
, and can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving we have the following result:
This means the ball hit the ground 5 seconds after it was kicked by Sara.
Answer: the answer is 4, just 4
Answer:
90.67% probability that John finds less than 7 golden sheets of paper
Step-by-step explanation:
For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.
This means that 
14 of these containers of paper.
This means that 
What is the probability that John finds less than 7 golden sheets of paper?

In which









90.67% probability that John finds less than 7 golden sheets of paper
Answer:
Step-by-step explanation:
<u>Solving in steps</u>
- 7^-1/7^2 =
- 7^-1 × 7^-2 =
- 7^(-1 - 2) =
- 7^-3