A mean ogre has locked the princess of Polygonia into a tower of a castle. She could escape through the window, but it is 50 feet above the ground, a long distance to jump! A 10 foot wide moat full of alligators surrounds the tower. Naturally, Prince Pythagoras wants to rescue her. The prince has some rope. His plan is to use an arrow to shoot one end of the rope up to her window. The princess can then slide down the rope to the other side of the moat, and off they will ride into the sunset Help the prince save the princess and demonstrate your work as you complete the story by solving the problem. So, if the prince needs an extra 2 feet of rope for tying it to the window frame and holding it on the ground, how long does his rope need to be?

Q.1 dr. frank needs to choose 3 students from her advanced biology course to attend a conference in hawaii. the course has 40 students. which of the following methods could dr. frank use to choose a simple, random sample of 3 students? select all that apply. 1 dr. frank could have the students line up from shortest to tallest, then use her birthdate, 2/5/39, to select 3 students from the line (the 2nd student, the 5th student, and the 39th student). 2. dr. frank could upload her class roster into a spreadsheet and use a ranom-number generating function to produce 3 random numbers. the students whose names are located in the rows with these 3 numbers on the spreadsheet would be chosen. 3. dr. frank could choose the students with the 3 highest grades in the class. 4. dr. frank could count to three, then the first students to come to the front of the classroom and grab a golden ticket from her hand would be selected. 5. dr. frank could ask all students to write their name on a card, place all of the cards in a hat, shake the hat, and then pull 3 cards out from the hat. the students whose names appear on those 3 cards will be selected. 6. dr. frank could ask for volunteers to go to the conference, then choose the first 3 students who raise their hands. q2. now, choose one of the methods that you did not select and explain why this method would not result in a simple, random sample: