The National AIDS Behavioral Surveys asked a random sample of 2673 adult heterosexuals how many sexual partners they had in the past year. Why is an estimate based on these findings likely to be biased? Select all that apply.

a. Because people might be ashamed to admit that they change partners very often, as this behavior may be considered immoral by some.
b. Because people might fear to admit that they cheat on their spouses.
c. Because only 2673 adults participated in this survey
d. Because the proportion of people having multiple partners must be very small, so an estimate of this would not meet the conditions for using the Central Limit Theorem.

17. a researcher measures three variables, x, y, and z for each individual in a sample of n = 20. the pearson correlations for this sample are rxy = 0.6, rxz = 0.4, and ryz = 0.7. a. find the partial correlation between x and y, holding z constant. b. find the partial correlation between x and z, holding y constant. (hint: simply switch the labels for the variables y and z to correspond with the labels in the equation.) gravetter, frederick j. statistics for the behavioral sciences (p. 526). cengage learning. kindle edition.

The function f(x) is shown in this graph the function g(x)=6x

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?