The total surface area (TSA) of the cube above can be calculated as follows: TSA=area of square 1+ area 2+ area 3+ area 4+ area 5+ area 6. 3.1.1. Determine the area of square 1.​

For what values of x is x2 + 2x = 24 true?

What is the circumference of a circle with an area of 50.24 cm²?

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?