The most important characteristic of a sample that makes it possible to generalize the results of a research study to the population from which the sample was selected is that it is, on average, representative of that population. Which of the following is most likely to ensure the sample is truly representative? A. The sample is selected based on whether respondents possess minimal reading and writing skills enabling them to understand the questions presented on questionnaires
B. The entire population is included in the sample i. e. it is really a census
C. The sample is carefully screened to ensure that it contains, proportionately, people with the same demographic profiles as encountered in the population.
D. The sample is selected quickly, even at the risk of its being non-random to ensure that opinions are 'fresh.'
E. The sample is selected at random from the population of interest.

Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

What is the perimeter of a rectangle if the length is 5 and the width is x?

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.