The coordinates of the vertices of a polygon are shown on the graph below. On a coordinate plane, point A is at (negative 1, 3), point B is at (negative 3, negative 3), and point C is at (1, negative 3). What is the name of the polygon? hexagon octagon quadrilateral triangle

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

Solve the inequality and graph 6j - 7 < 5

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?