(HELP ME PLEASE) In a triangle that two of its sides are worth 8 cm and 10 cm, the possible values of the third side are:

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?

Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)> 0

At a book fair, joe bought 24 books at 3 for $5 and had $2 left. how much money did he have at first?