Trevor performed an experiment in which he randomly pulled a card from a standard deck,
recorded the card's value, returned the card
to the deck, and repeated. His results are
shown in the following dot plot, where 11
represents a jack, 12 represents a queen, 13
represents a king, and 14 represents an ace. A
dot plot. There is one dot for every number
except the following: 4 has 3 dots, 7 has 2
dots, & 12 has 4 dots.
Based on the experiment, what is the
probability of drawing a 9 from the deck of
cards?

Can you simplify 4/7? 24 points will be awarded!

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Suppose a store sells an average of 80 cases of soda per day. assume that each case contains 24 cans of soda and that the store is open 10 hours per day. find the average number of soda that the store sells per hour.