ACTIVITY 2: In the sketch below, the coordinates of the vertices of AABC are A(1 : -2), B(-3; 2) and (3:4) with K(O; -1) on AB and L. :) on BC. C (3 L:12 B(-32). K( 0-1) A(1.-2) 1.1 Calculate the gradients of AC and KL. (1) 1.2 What can you deduce about lines AC and KL? Give a reason for your answer. (1)

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?

Susie wants to take her friend out for lunch.she wants to spend $9.75 each person. how much will she spend in all.

Joey is asked to name a quadrilateral that is also a rhombus and has 2 pairs of parallel sides.should be his answer