Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2.25. Point Q is the center of dilation. Line segment S T is dilated to create line segment S prime T prime. The length of Q T is 1.2 and the length of Q S is 2. The length of S S prime is x and the length of T T prime is 1.5. What is x, the distance between points S' and S? x = 2.25 units x = 2.5 units x = 4.25 units x = 4.5 units

Convert the mixed numbers into improper fractions. convert the improper fraction to mixed numbers.

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?

The average length of a king cobra is 3.7 m. the record length is 1.88 m longer than the average. how long is the record holder?