5. In predator-prey relationships, the populations of the predator and prey are often cyclical. In a conservation area, rangers monitor the population of carnivorous animals and have determined that the population can be modeled by the function P(t) = 40 cos πt/6 + 100 where t is the number of months from the time monitoring began. Use the model to estimate the population of carnivorous animals in the conservation area after 14 months, 20 months, and 30 months. A. The population of carnivorous animals in the conservation area after 14 months is animals. (Type an integer or a simplified fraction.)
B. The population of carnivorous animals in the conservation area after 20 months is animals. (Type an integer or a simplified fraction.)
C. The population of carnivorous animals in the conservation area after 30 months is animals. (Type an integer or a simplified fraction.)

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

total of apples - take away four

6-4 = 2

answer is 2 apples