Answer:
A
Step-by-step explanation:
Machine A pops more popcorn (12.75 vs 10 oz) in less time (3 min vs 4 min), so pops popcorn the fastest.
Machine A pops more popcorn in one minute, on average.
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<em>Additional comment</em>
As a practical matter, neither machine may have popped <em>any</em> popcorn in one minute. Generally, one must wait for the cycle to complete. The average overall rate will depend on how quickly each machine can be recycled to produce another batch.
Answer:
Elimination
x = 2
y = -2
Step-by-step explanation:
Elimination
2x + 4y = -4
2x - y = 6
Subtract the second equation from the first
5y = -10
Divide both sides by 5
y = -2
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Substitute for y = -2 in the second equation
2x - -2 = 6
2x + 2 = 6
subtract 2 from both sides
2x = 4
Divide both sides by 2
x = 2
When you first pick a ticket, there are 2 winning tickets and 40 total tickets. This means that there is a 2/40 chance of your ticket being a winning one. This fraction can be reduced to 1/20.
After this, there will be 1 winning ticket left and 39 total tickets. There is a 1/39 chance of the next ticket being a winning one. We multiply these two fractions together to get our answer. 1/20 * 1/39 = 1/780, so there is a 1/780 chance of having 2 winning tickets.
