Sean has $5 worth of coins consisting of nickels and quarters. the number of nickels is 4 more than 3 times the number of quarters. how many quarters does sean have?

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

Find the maximum value of p= 4x + 5y subject to the following constraints :

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?