For each triangle sum of it's angles must add to 180°.
We need to check if these angles satisfy that condition:
32°+51°+97°=180°
They do satisfy. Now we check if any angle has value that is not possible.
32° and 51° angles are OK.
97° angle is also OK. It is obtuse angle.
For each angle measures exactly one triangle exists. In this example we have an obtuse-angle triangle.
Answer:
The standard deviation of the distribution is 21.7 students.
Step-by-step explanation:
We are given the following in the question:
We treat college student living on campus as a success.
P(college student living on campus) = 0.38
Then the number of students follows a binomial distribution.
Sample size, n = 2000
We have to evaluate the standard deviation of the distribution.
Formula:

Putting values, we get,

Thus, the standard deviation of the distribution is 21.7 students.
Answer:
The correct option is D. No, because a random sample from all customers of the shopping mall was not selected
Step-by-step explanation:
In statistics, Bias can be described as a term which depicts error if a sample is not taken evenly or it depicts errors taken from an unjust sampling.
In statistics, sampling bias means the errors which occur if one part of the population is favoured more then the rest of the populations. In this kind of bias, the individuals for experimentation are not chosen randomly.
As the customer satisfaction survey was distributed in only one of the gates hence, it does not give a generalized result and the result is biased.