Apolling organization found in 2011 that 48% of people in a large country are concerned about global warming, down from 51% in 2008. results for this poll were based on telephone interviews conducted in 2011, with a random sample of 1238 adults, aged 18 and older, living in the country. does the sample from 2011 give evidence that concerns for global warming have decreased since 2008? complete parts a through e below. a) write appropriate hypotheses. let p be the proportion of people in the country who are concerned about global warming. upper h 0: p equals 0.51. upper h subscript upper a: p less than 0.51. (type integers or decimals. do not round.) b) check the assumptions and conditions. the independence assumption is satisfied. the randomization condition is satisfied. the 10% condition is satisfied. the success/failure condition is satisfied. c) perform the test and find the p-value. what is the test statistic?

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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.

1) what is the measure of the exterior angle, ∠uvw ? 2) in triangle man, what is the measure of the exterior angle at n (in degrees)?