Tina invested P100,000 more than her husband did. If they both invested the money at 5% per year and their combined income from the investments was P35,000,how much did they invest in
each?

Nikolas calculated the volume of the prism. his work is shown below.

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?

An equation in slope-intersept form the lines that passes thought (-8,1) and is perpindicular to the y=2x-17.