Find the HCF of 24,36and 42 by factorisation method

125 tickets were sold for the jazz band concert for a total of $1,022. students tickets cost $6 each, and general admission tickets cost $10 each. how many of each kind of tickets were sold?

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?