A landscaper is putting a border on each side of a triangular garder. She plots the vertices of the garden (2,3), (5,5), and (7,-3) on a coordinate grid. She estimates that she will need 2 feet of material for the border for
every unit of length represented in the graph of the garden.
Part A
Which expression can be used to determine the amount of material needed for the border on the side of the garden
represented by the vertices(5,5) and (7, -3) on the graph?
2/(5 - 7)2 + (5 - (-3))?
2/(5 + 7)2 + (5 + (-3))
© 2/5 77,2 +(6+(-3),
021/57232 +
5
2

Restrictions on f(x) = 1/x+5 and g(x) = x-2

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?

What ratio is proportional to 18/21