Answer: The second option and the third option are true.
Step-by-step explanation:
The formula of the line in slope-intercept form is:

Where <em>m </em>is the slope and <em>b </em>is the y-intercept.
By definition, the y-intercept in a direct variation is 0.
Therefore, substituting
and
into the equation, you obtain:

Then, the equation is:

As this is a line, it is a linear function.
Therefore, the second option and the third option are true.
The answer is to this question is a)strong positive...
Answer:
11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. 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.
70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.
This means that 
20 adults
This means that 
Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.
This is P(X = 12).


11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
Equivalent systems = same line = infinite solutions