Cho hệ các vecter U = {(1,2,n ); (0, -1,1-n);(2,3,n+1);(1,0,2-n) a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U . b. Tìm tham số k để 2 u k = + (2,3, 1) là một tổ hợp tuyến tính của W , và suy ra [ ]

The triangles in the diagram are congruent. if mzf = 40°, mza = 80°, and mzg = 60°, what is mzb?

Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4

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?