A group of scientists seek to answer the question: Is there a relationship between brain size and intelligence? A group of 100 volunteers are recruited for study. Each volunteer agrees to have their brain measured and classified as small, medium, or large. They also take an IQ test which classifies them as above or below average intelligence. The table shows the classification of the volunteers. Brain size Small Medium Large IQ Above average 3 29 20 Below average 7 29 12 (a) Calculate the marginal distribution of brain size. Summarize your findings in a sentence. Here is a mosaic plot of the results of the study. (b) Describe what this graph reveals about the association between brain size and IQ for the 100 volunteers in the study. Justify your response.

To complete your spring schedule, you must add calculus and physics. at 9: 30, there are three calculus sections and two physics sections; while at 11: 30, there are two calculus sections and three physics sections. how many ways can you complete your schedule if your only open periods are 9: 30 and 11: 30?

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.

Find the area of a parallelogram with the given vertices. p(-2, -5), q(9, -5), r(1, 5), s(12, 5)