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- Explain the similarities between driving through a series of intersections and taking shots in basketball. Why are they both considered to represent a binomial situation?Casey is looking to rent a two-bedroom apartment in one of two towns, Gardiner or Augusta. He randomly selects 100 two-bedroom apartments from both towns and records the area of each apartment. Both towns have a two-bedroom apartment that has an area of 645 square feet. Gardiner: 673, 652, 729, 707, 773, 746, 728, 690, 762, 770, 722, 735, 693, 708, 700, 652, 680, 696, 762, 655, 656, 716, 675, 681, 690, 708, 726, 725, 705, 657, 640, 752, 715, 697, 680, 682, 694, 699, 634, 717, 673, 733, 708, 657, 645, 727, 773, 696, 740, 768, 641, 752, 779, 654, 715, 733, 684, 770, 617, 704, 711, 684, 720, 649, 744, 652, 650, 653, 725, 634, 684, 720, 667, 708, 670, 713, 673, 655, 688, 669, 766, 697, 730, 698, 681, 720, 773, 665, 768, 657, 720, 725, 738, 670, 735, 725, 725, 744, 655, 767 Augusta: 693, 673, 635, 663, 680, 640, 686, 684, 661, 712, 726, 649, 665, 694, 692, 674, 673, 685, 702, 692, 626, 671, 663, 732, 684, 688, 724, 692, 708, 646, 640, 659, 685, 698, 685, 688, 690, 679, 669, 684, 693, 737,…Count the number of strings of m 0s and n 1s that have exactly k blocks of consecutive 1s.
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- If you roll two dice, each with 8 faces, what sum is most likely to appear from the two dice? Write out each step and explain what you are doing in each step.we have a 70% chance of winning a game and play 80 times, how many games do we expect to win? Again, the game can only be won or lost; no ties. round answet to nearest integer.Sophia has a different bag only containing red grapes and green grapes. The number of grapes in her bag is different, but 4/9 of the grapes are also red. She picks out a red grape from her bag and eats it. 3/7 of the remaining grapes in her bag are red. How many of the remaining grapes in her bag are red and how many are green?
- The Village League uses a best-two-out-of-three series to crown its champion. If the probability of Team Alpha beating Team Beta is 60% for every game, what is the probability that Beta wins the championship? Express your answer as a common fraction.3. 1,-6, 36,-216, .. a. = (-6)" geometric, a =-7776, a. %3D 1296, a, = (-6)"-1 , = (-6)"- b. geometric, a, n-1 С. arithmetic, a , =-7776, a %3D d. arithmetic, a, = 1296, a, = (-6)"Our family brought lots of hot dogs along on our latest camping trip. However, after setting up the tent, we didn’t take care to make sure that the food was safe – and raccoons ate 1/4 of the hot dogs! Grumbling, we cleaned up the mess, then ate 12 hot dogs for lunch. But we forgot to put the rest away when we went hiking, and lost 1/6 of our dwindling supply to jays! Just as a precaution, Mom went to the store and bought enough hot dogs to increase our supply by 2/5. Our campsite neighbors, however, ran out of food, so we gave them 3/7 of our remaining hot dogs and then ate 12 hot dogs for our dinner. That night, bears got 3/4 of the last part of our supply, and in the morning there were only 3 hot dogs left! How many hot dogs did we start with? (Next time maybe we should just bring granola bars...)