In a study of cell phone use and brain hemispheric dominance, an internet survey was e-mailed to 2457 subjects randomly selected from an online group involved with ears. 935 surveys were returned. construct a 95% confidence interval for the proportion of returned surveys. find the best point estimate of the population proportion p. identify the value of the margin of error e. construct the confidence intreval.

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.

What is the value of the discriminant of the quadratic equation -2x = -8x + 8 and what does its value mean about thenumber of real number solutions the equation has?

What is the slope of (0,32) and (100,212)