Simone is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time ttt, in years, since Simone started studying the population, and the number of tigers, N_{\text{year}}(t)N year (t)N, start subscript, start text, y, e, a, r, end text, end subscript, left parenthesis, t, right parenthesis, is modeled by the following function: Nyear(t)=612⋅(23)t Complete the following sentence about the monthly rate of change in the tiger population. Round your answer to two decimal places. Every month, the number of tigers decays by a factor of .

How do the graphs of y = 1/x and y=5/x+6 compare?

How far is x from 5 on a number line?

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?