Suppose John wants to open a learning center for high school students in his community. John wants to compare the average time area high school students spend studying per week with the regional average, 18.9 h. John surveys 20 randomly selected local high school students, asking how much time they spend studying in a typical week. Although he does not know the standard deviation of the underlying population, he is confident that the population is normally distributed because other studies indicate that study times are normally distributed, and graphs of his sample data indicate normality. Choose the correct test procedure that John should use to test if the mean weekly study time from his sample differs from 18.9 h.

What does x = in this equation x+3+2x=x+5

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

If f(x) = 3x2 - 2x+4 and g(x) = 5x + 6x - 8, find (f-g)(x).