Acarnival has a duck pond booth. you choose a rubber duck at random. the mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. there are 65 ducks floating in the pond. there are 3 marked as large-prize winners, 13 ducks marked as medium-prize winners, and 21 ducks marked as small-prize winners. find the theoretical probability of winning a medium prize at the duck pond. express your answer as a decimal. if necessary, round your answer to the nearest thousandth.

0.2
0.8
5
0.569

Can someone me with my hwplz(only the circled ones)

Explain why the function is discontinuous at the given number a. (select all that apply.) f(x) = 1 x + 1 a = −1 f(−1) is undefined. lim x→−1+ f(x) and lim x→−1− f(x) exist, but are not equal. lim x→−1 f(x) does not exist. f(−1) and lim x→−1 f(x) exist, but are not equal. none of the above

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.