According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will
1 answer:
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Answer:
Step-by-step explanation:
We know that:
Where "d" is distance, "r" is rate and "t" is time.
Solved for the time "t":
The first step is to convert the distance from miles to feet.
Since , we get:
Knowing that:
We can substitute values into in order to find the time in seconds:
Since:
The time in minutes is:
Answer:
23.1% probability of meeting at least one person with the flu
Step-by-step explanation:
For each encounter, there are only two possible outcomes. Either the person has the flu, or the person does not. The probability of a person having the flu is independent of any other person. 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.
Infection rate of 2%
This means that
Thirteen random encounters
This means that
Probability of meeting at least one person with the flu
Either you meet none, or you meet at least one. The sum of the probabilities of these outcomes is 1. So
We want . Then
In which
23.1% probability of meeting at least one person with the flu
Answer:
C. A horizontal stretch to produce a period of and a vertical compression.
Step-by-step explanation:
We are given the parent function as
It is given that, transformations are applied to the parent function in order to obtain the function i.e.
That is, we see that,
The parent function is stretched horizontally by the factor of
which gives the function
.
Further, the function is compressed vertically by the factor of which gives the function
.
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period .
Since, the period of is
, so the period of
is
=
Hence, we get option C is correct.