Ryan invented a game called "magic 5" in which you get points if you get the same result multiple times in a row. he put two identical balls, one black and one white, inside a dark bag. the player must draw one ball at a time and replace it. the outcomes gain or lose points according to the following table: same outcome as previous draw different outcome than previous drawfirst result -- --second result +2 points -2 pointsthird result +3 points -2 pointsfourth result +4 points -2 pointsfifth result +6 points -2 pointswhat is the most probable outcome if you play this game? use a mathematical proof to explain the previous answer.

Hiroaki wants to find 3 3/4 - 7/8 explain why he must rename 3 3/4 to do the subtraction.

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.

Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?