Which compound inequality has no solution? x ≤ –2 and 2x ≥ 6
x ≤ –1 and 5x ≤ 5
x ≤ –1 and 3x ≥ –3
x ≤ –2 and 4x ≤ –8

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?

An octagonal prism has jow many lateral faces?

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?