Suppose you have two disks each with 128 pie-shaped sectors. one disk has 32 red sectors and 96 white sectors. the other disk has 64 white sectors and 64 red sectors. the two patterns can be completely arbitrary. can we place one over the other such that at least 64 sectors on each disk have the same color? justify your answer using probabilistic methods and be sure to provide a sample space to support your reasoning.

Choosing a booth location: your manager is sending two people to work at the conference. she wants a booth that will give your company good visibility for no more than 35% of the total budget ($3000). the conference coordinator just told you there are only five booths left. which booth will you choose? write the inequality that shows how much money you can spend on the booth simplify the inequality that shows how much money you can spend on the booth.

What is the area of the triangle 10 13 12

Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. the father dove down 4.74.74, point, 7 meters from the iceberg into the water to catch dinner for his kids. what is the father penguin's position relative to the surface of the water?