Seventy-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. you randomly select 8 employees and ask them if they judge co-workers based on this criterion. the random variable is the number of employees who judge their co-workers by cleanliness. which outcomes of this binomial distribution would be considered unusual? 0, 1, 2, 3, 8 0, 1, 2, 3 1, 2, 3 0, 1, 2, 7, 8

Afrequency table of grades has five classes (a, b, c, d, f) with frequencies of 3, 13, 14, 5, and 3 respectively. using percentages, what are the relative frequencies of the five classes?

What is the value of x? assume that the line is tangent to the circle.

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?