A college professor wants to survey a sample of students taking her large lecture course. There are about 150 students in the course, and 10 of those students are graduate students. She wants to take a systematic random
sample of approximately 30 students.
Which of these strategies will accomplish her intended design?

a. randomness select 15 men and 15 women from the class for the survey
b. randomly select 2 graduate students and 28 other students for the survey
c. randomly selects one of the first 5 students to arrive to class, and every 5th student thereafter to take the survey
d. randomly select one of the first 15 students to arrive to class, and every 15th student thereafter to take the survey
e. assign each student a number and use a computer to randomly select 30 students for the survey

B

Step-by-step explanation:

B is the only answer that will ensure she gets graduate students in the sample without getting too few or too many.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,