Aresearcher approximated the number of cactus plants in a region of desert that is roughly square shaped with a side length of 175 kilometers. as part of the process, he counted the number of cactus plants in a small part of the region and determined that the density of cactus plant was about 214 plants per square kilometer. he assumed the density of cactus plants was the same throughout the region. which expression would the researcher have most likely used when making his approximation for the number of cactus plants in the square shaped region (3 × 10^5) (2 × 10^2) 3 × 10^4 / 2 x 10^2 (3 × 10^4) (2 × 10^2) 3 × 10^5 / 2 × 10^2

Given that ot =5, xt=12, and ox= 13 is xy tangent to circle o at t? explain.

Consider the expression below. 9 + 4(x + 2) – 3.1 select the term that best describes "3" in the given expression. o a. coefficient variable exponent constant

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?