Answer:
The complete question is:
At a university, 13% of students smoke.
a) Calculate the expected number of smokers in a random sample of 100 students from this university:
b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8:55 am there are 27 students outside the gym waiting for it to open. Should you use the same approach from part (a) to calculate the expected number of smokers among these 27 students?
Part a is easy, because is a random sample, we can expect that just 13% of these 100 students to be smokers, and 13% of 100 is 13, so we can expect 13 of those 100 students to be smokers.
b) This time we do not have a random sample, our sample is a sample of 15 students who go to the gym in the early morning, so our sample is biased. (And we do not know if this bias is related to smoking or not, and how that relationship is), so we can't use the same approach that we used in the previous part.
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Answer:
Part A) 
Part B) 
Part C) 
Step-by-step explanation:
Part A) we have 
θ is in quadrant 3 ----> the sine is negative
Find 
we know that

Remember that

substitute




---> remember that the sine is negative (3 quadrant)
Find 
we have



substitute


Part B) we have 
θ is in quadrant 1
Find
we know that

substitute


Part C) we have 
θ is in quadrant 2 ----> the cosine is negative
Find
we know that

Remember that

substitute




Find

substitute


Find

substitute





Answer:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Step-by-step explanation: