It's Magic The Amazing Aloysius is practicing one of his tricks. As part of this trick,
he cuts a rope into many pieces and then magically puts the pieces of
rope back together. He begins the trick with a 20-foot rope and then cuts
it in half. He then takes one of the halves and cuts that piece in half. He
repeats this process until he is left with a piece so small he can no longer
Cut it.
• independent quantity:
• dependent quantity:

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)