One complete period of a non-transformed cotangent function is π.
The period of the function is defined as the interval after which the function value repeats itself.
For example, f(T+x)=f(x)
where T is the period of the function.
Here given that there is a non-transformed function cotangent function.
We have to find the period of the function in which interval the value of the function will repeat.
So for the function y=f(x)=cot x
the period of the function is π. means after π the value of the cotangent repeats.
cot(π+x)=cot x
Then one cycle of the cotangent graph lies between 0 and π.
Therefore One complete period of a non-transformed cotangent function is π.
Learn more about period of the function
here: brainly.com/question/3511043
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Answer:
y-6=1/3(x-6)
Step-by-step explanation:
slope is 1/3
y-y1=m(x-x1)
N=-6
-6 minus 6 is -12
-12 /3 is -4 since the negative doesn’t cancel out
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.