Insecticides are essential to growing crops in the dense mono-culture that is necessary to produce enough food to feed the expanding global population. Evolution of insecticide resistance is, however, an enduring challenge. The more insecticide applied the faster resistance evolves. Suppose that the current proportion of resistant beetles is p then the proportion of the population that will be resistant in the next year is given by the following classic equation from population genetics: P2 = p(1+s) 1+sp where s is the selective benefit (s> 0) of the resistant beetles. A) Find the derivative p ds . Poll 3: Increasing s leads to- resistant beetles? A. more B. fewer

Professor Easy's final examination has 12 true-false questions followed by 3 multiple-choice questions. In each of the multiple-choice questions, you must select the correct answer from a list of six. How many answer sheets are possible?

When taking a 27 question multiple choice test, where each question has five possible answers, it would be unusual to get  or more questions correct by guessing alone. Use the Range Rule of Thumb for Unusual Values to answer this question. Give your answer above as a whole number.

There are​ 64% of US adults who own a​ smartphone, up from​ 35% in 2011. Smartphones have become an important way for Americans to​ communicate, go​ online, access and share information. The Pew Research Center surveyed 1635 people in​ November, 2014 on smartphone ownership. Their goal was to learn how Americans use their smartphone devices.   Identify the population and the sample.