Rob is a geologist. he is surveying a conical crater that was created by a meteor impact. from one end to another, the crater forms a v shape. the deepest part of the crater is 400 feet deep. the depth of the crater varies at a rate of 0.25 foot with the horizontal distance from the west end of the crater the equation that models the depth of the crater, d, in feet, with respect to the horizontal distance in feet from the west end of the crater, h, is d =(1) the depth of the crater is 250 feet at horizontal distances of (2) and (3) feet from the west end (1) 0.25|x-400|-1,600 |x-0.25|-400 |x-400|-0.25 0.25|x-1,600|-400 (2) 600 800 1,000 1,200 (3) 1,800 2,000 2,200 2,400

Write an equation in point-slope form for the line through the given point that has the given slope (-2,-7); m=-3/2

Type the correct answer in the box. consider the system of linear equations below. rewrite one of the two equations above in the form ax + by = c, where a, b, and c are constants, so that the sum of the new equation and the unchanged equation from the original system results in an equation in one variable.

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?