Elizabeth did the bottle flipping challenge. The number of times she flipped the bottle and
landed upright in a row and their probabilities are given in the table below. Use the table
above to answer the following questions.
Number of Times Bottle Landed Upright
0
Probability
5. Find the probability that Elizabeth will land the bottle upright 2 times.

6. Find the probability that Elizabeth will land the bottle upright 2 or 3 times.

7. Find the probability that Elizabeth will NOT land the bottle upright 1 time.

Use the spinner and coin below to answer the following questions.

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?