Arecipe that makes 6 cheesecakes called for 3/4 cup of sugar. how many cups of sugar are needed to make 32 cheesecakes?

For this case we propose a rule of three taking into account that:

6 cakes ----------> cup of sugar

32 cakes --------> x

Where the variable "x" represents the amount of cups of sugar needed for 32 cheesecakes.

Thus, 4 cups of sugar are needed to make 32 cheesecakes.

4 cups of sugar

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.

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.