You have to move your variables around.<span />
Answer:
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Step-by-step explanation:
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Find Slope
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y = -1/3 x + 4
Slope = -1/3
Slope of the parallel line = -1/3
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Insert slope into y = mx + c
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y = -1/3 x + c
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Find y-intercept
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y = -1/3 x + c
at point (6, 5)
5 = -1/3 (6) + c
5 = - 2 + c
c = 5 + 2
c = 7
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Insert y-intercept into y = -1/3x + c
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y = -1/3 x + 7
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Answer: y = -1/3 x + 7 (Answer B)
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Letter B is correct.
The dots are the test scores and they follow the linear line.
The expected value of the first game is -$0.50 and of the second game is -$0.52.
There are 10³ possible numbers for the lottery, and only 1 of them will match in the correct order; this gives a probability of 1/1000. To find the expected value, we multiply this by the winnings (499 after the $1 cost); we also multiply the probability of losing (999/1000) by the amount lost (-1):
1/1000(499)+999/1000(-1)
499/1000 - 999/1000 = -500/1000 = -0.50
For the second game, since the number is "boxed", there are 3! ways to get the correct digits; this gives a probability of 6/1000. Multiply this by the winnings, 79 (after the $1 cost); multiply the probability of losing (994/1000) by the loss (-1):
6/1000(79) + 994/1000(-1) = 474/1000 - 994/1000 = -520/1000= -0.52
