What is the area of this shape?

82cm^2

Step-by-step explanation:

Area of shape=area of big rectangle + area of small rectangle

Length of big rectangle=10

Width of big rectangle=7

area=length x width

area of big rectangle=10x7

area of big rectangle=70

Length of small rectangle=4

Width of small rectangle=10-7=3

Area=length x width

area of small rectangle=4x3

area of small rectangle=12

Area of shape=70+12

Area of shape=82cm^2

452,489 to the nearest thousand is 452,000

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.