A random sample of n = 12 four-year-old red pine trees was selected, and the diameter (in inches) of each tree's main stem was measured. The resulting observations are given below.11.5 10.2 12.6 15.1 10.4 12.4 16.1 10.811.6 11.0 10.2 12.0(a) Compute a point estimate of Ï, the population standard deviation of main stem diameter. (Round your answer to three decimal places.)Ï = inchesWhat statistic did you use to obtain your estimate?sample proportionsample variancesample meansample standard deviationsample range(b) Suppose that the diameter distribution is normal. Then the 90th percentile of the diameter distribution is μ + 1.28Ï (so 90% of all trees have diameters less than this value). Compute a point estimate for this percentile. (Hint: First compute an estimate of μ and then use it along with your estimate of Ï from part (a). Round your answer to three decimal places.)μ + 1.28Ï = inches

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.

What is another way to express 36 +32

What are the solutions of the equation? 5z^2 + 9z - 2 = 0 a. 1, -2 b. 1, 2 c. 1/5, -2 d. 1/5, 2