A function $f$ is considered a bounded function on $A$ if there is a certain value $M > 0$ such that $|f(x)| \leq M$ for all $x \in A$. Let $g$ be a function with domain $A$ and $f$ be a bounded function on $A$. Prove that if $\displaystyle\lim_{x \rightarrow c} g(x)

Find the value of x. give reasons to justify your solutions! l, m ∈ kn

Vanessa earns a base salary of $400.00 every week with an additional5% commission on everything she sells. vanessa sold $1650.00 worth of items last week.

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?