Consider the sample observations on stabilized viscosity of asphalt specimens: 2781, 2900, 3013, 2856, and 2888. Assume they come from a normal distribution. Suppose that for a particular application it is required that the true mean viscosity be less than 3000. Does this requirement appear to have been satisfied? State and test the appropriate hypotheses. Use a level of significance α=0.05, and all the three testing approaches. State your decision and conclusion

Which of the following will form the composite function?

Have you ever been in the middle of telling a story and had to use hand gestures or even a drawing to make your point? in algebra, if we want to illustrate or visualize a key feature of a function, sometimes we have to write the function in a different form—such as a table, graph, or equation—to determine the specific key feature we’re looking for. think about interactions with others and situations you’ve come across in your own life. how have you had to adjust or change the way you represented something based on either the concept you were trying to describe or the person you were interacting with? explain how the complexity or layout of the concept required you to change your style or presentation, or how the person’s unique learning style affected the way you presented the information.

If the angle bisectors of a pair of opposite angles of a quadrilateral are the opposite sides of a parallelogram formed by the two angle bisectors and two sides of the quadrilateral, is the quadrilateral always a parallelogram? explain your answer.