Step-by-step explanation:
To find coordinates, we need the equation of the line segment with restrictions. I think you meant to say “line segment” as lines go infinitely in 2 directions and could not be broken up into ratios. Let’s say your segment is 24 feet long. You could then label AB as 5x and BC as x since that is a ratio of 5:1 …………We’d then have an equation
5x + x = 24 … or 6x = 24…..or x = 4 which would make AB = 20 and BC = 4…but this would not give us coordinates of points.
1/3+a=5/4. : a = 11/12 = 0.917.
<span>It costs $7.00 to play a straightforward game in which a dealer gives you one card from a deck of 52 cards. </span><span>
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If the card is a heart, spade, or diamond, you lose. </span><span>
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If the card is a club other than the queen of clubs, you win $11.50. </span><span>
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If the card is the queen of clubs, you win $50.00. </span><span>
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The random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of x, rounded to the nearest penny?</span><span>
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Random "winnings"::.....-7.......4.50......43</span><span>
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Probabilities::........ 39/52....12/52....1/52 </span><span>
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u(x) = [39*-7 + 12*4.5 + 43]/52 = -$3.38
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ANSWER:
6 quarts
EXPLANATION: 6 quarts of water to keep the consistency the same