A triangle has vertices A(0, 0), B (9,4), and C(-2, 10). What are the coordinates of the triangle after a dilation with a scale factor of 1?

OA' (0,0), B'(18,8), and C'(-4, 20)

O A' (0,0), B'(-4.5,-2), and C (1,5)

O A'(0,0), B'(3, 2), and C’ (0, 5)

O A' (0,0 ), B'(4.5, 2), and C'(-1,5)

I’m stuck on this equation, anyone got the answer?

Determine the common ratio and find the next three terms of the geometric sequence. 10, 2, 0.4, a. 0.2; -0.4, -2, -10 c. 0.02; 0.08, 0.016, 0.0032 b. 0.02; -0.4, -2, -10 d. 0.2; 0.08, 0.016, 0.0032 select the best answer from the choices provided a b c d

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?