These two images show steps in a proof of the Pythagorean theorem. Which of the following statements about the proof is false?
A. The triangles in step 1 have the same combined area as the triangles in step 2.
B. The area of the interior square in step two is greater than the combined area of the two interior squares in step 1.
C. The proof shows that a2+ B2=C2
D. If you subtract the sum of the areas of the four triangles from the complete figure in both steps, the remaining areas are equal.

Hi, can anyone show me how to do this problem? 100 points for this. in advance

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?

Events a and b are independent. the probability of a occurring is 2/5. the probability of b occurring is 1/4. what is p(a and b)?