The famous acrobat known as the Amazing Randazzo has set his sights on his latest acrobatic feat. He would like to tight-rope walk from the height of the building ABCD to building GHIJ over a distance of 86.2m as represented by the line segment BH shown in the diagram below. However, the amazing Randazzo is also concerned about his safety. He will not go ahead with the walk if the angle of depression from point H is more than 15º. The angle of depression is the angle formed by the tightrope with the horizontal extension of the line segment HI. Will the Amazing Randazzo feel safe enough to go ahead with the tightrope walk?

The function f(x)= -(x+5)(x+1) is down. what is the range of the function?

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?

The graph of f(x) = x is reflected over the y-axis. use the graphing calculator to graph this reflection. which list containsthree points that lie on the graph of the reflection?