The following data refers to airborne bacteria count (number of colonies/ft3) both for carpeted hospital
rooms and for uncarpeted rooms (“Microbial Air
Sampling in a Carpeted Hospital,” J. of Environmental
Health, 1968: 405). Does there appear to be a difference
in true average bacteria count between carpeted and
uncarpeted rooms?
Carpeted 11.8 8.2 7.1 13.0 10.8 10.1 14.6 14.0
Uncarpeted 12.1 8.3 3.8 7.2 12.0 11.1 10.1 13.7
Suppose you later learned that all carpeted rooms were in
a veterans’ hospital, whereas all uncarpeted rooms were in a
children’s hospital. Would you be able to assess the effect of
carpeting? Comment.

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

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.

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?