1. A pipe needs to run from a water main, tangent to a circular fish pond. On a coordinate plane, construct the circular fish pond at a given location and specify your center point and radius. Write your circular fish pond equation. On your coordinate plane, identify the point to represent the location of the water main connection. Construct the pipe so that it is tangent to the fish pond from the water main. Include all steps to creating a tangent line, as discussed in this lesson. Submit your final graph. You may do this by hand, using a compass and straightedge, or using a graphing software program. 2. Discuss the steps that you used to create your tangent line in #1. What was the most important step? Your discussion should be a minimum of three sentences. 3. Give an example of tangents in the real world that have not been presented in this lesson. Explain how you know the tangent and the radius in your example are perpendicular.

Julia measured the high temperature in her town for one week. using the chart above, find the mean absolute deviation for the high temperatures. round your answer to the nearest tenth. be sure to show your work for finding: the mean of the set of data the distance of each number from the mean the mean absolute deviation

43lbs of tomatos cost $387. how much would 41lbs cost

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.