Mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3marbles into a marble jar. when the jar has 100 marbles or more, the class has a party. right now, the jar contains 24 marbles.

Aparallel system functions whenever at least one of its components works. consider a parallel system of n components, and suppose each component works independently with probability 0.5. find the conditional probability that component n works given that the system is working

Part of the total score for each program is the sum of five program component scores. on the free program, the sum of these five program component scores is multiplied by a factor of 2.0. yuzuru hanyu, of japan, earned scores of 9.07, 8.96, 8.89, 9.21, and 9.36 for the program components portion of his free program. how many total points did he receive for this portion?

Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third