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Answer:
D. Eric is correct; slopes are opposite reciprocals
Step-by-step explanation:
If they were to actually graph the lines, they could see immediately that the lines are perpendicular. Perpendicular lines have opposite reciprocal slopes.
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Solving the first equation for y gives ...
2x +3y = 12
3y = -2x +12
y = -2/3x +4
The slope of -2/3 for this first line is the opposite reciprocal of the slope 3/2 that the second line has.
Eric is correct; slopes are opposite reciprocals (choice D)
Assuming that each marble can be picked with equal probability, we notice that there is a total of
marbles, of which 2 are red.
So, the probability of picking a red marble is
In fact, as in any other case of (finite) equidistribution, we used the formula