Mr. scruggs got some money for his birthday. he spent 1/5 of it on dog treats. then , he divided the he divided the remainder equally among his 3 favorite charities. what fraction of his money did each charity receive? if he donated $60 to each charity , how much money did he receive for his birthday

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?

Asalesperson has january sales of $20,000(1,$20,000) and april sales of $80,000 (4,$80,000). what is the rate of change?

Translate the algebraic expression shown below into a verbal expression. fraction with variable x in numerator and 6 in the denominator. the sum of six and some number the product of six and some number the quotient of some number and six the difference of six and some number