In the experiment of the previous exercise, the subjects were randomly assigned to the different treatments. what is the most important reason for this random assignment? (a) random assignment eliminates the effects of other variables such as stress and body weight(b) random assignment is a good way to create groups of subjects that are roughly equivalent at the beginning of the experiment(c) random assignment makes it possible to make a conclusion about all men(d) random assignment reduces the amount of variation in blood pressure(e) random assignment prevents the placebo effect form ruining the results of the study

Determine whether the graphs of y=8x+5 and -y=8x-5 are parallel, perpendicular, coincident, or none of these. a. coincident b. parallel c. perpendicular d. none of these

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria. the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time. create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.