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Ymorist [56]
3 years ago
6

Suppose that you roll a pair of honest dice. If you roll a total of​ 6, you win​ $18; if you roll a total of​ 11, you win​ $72;

if you roll any other​ total, you lose​ $9. Let X denote the payoff in a single play of this game. Find the expected value of a play of this game. Round your answer to the nearest penny.A.) -​ $0.50B.) −​ $1.00C.) ​$0D.) ​$0.75E.) −​ $0.75
Mathematics
1 answer:
ser-zykov [4K]3 years ago
7 0

You can roll a total of 6 by rolling (1, 5), (2, 4), (3, 3), (4, 2), or (5, 1). There are 36 total possible rolls that can be obtained, so you roll a total of 6 with probability 5/36.

You can roll a total of 11 by rolling (5, 6) or (6, 5), hence with probability 2/36 = 1/18.

Any of the other remaining 29 outcomes occurs with probability 29/36.

The expected value of your winnings is

$18*5/36 + $72*1/18 - $9*29/36 = -$0.75

so the answer is E.

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weqwewe [10]
Question is: how many 84s will fit in 5376? Let's think about some easy multiples:

84 * 100 = 8400, so it's too big
84 * 10 = 840, so it might work

84 | 5376 | 10
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84 | 4536 | 10
       -840

84 | 3696 | 10
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84 | 2856 | 10
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84 | 2016 | 10
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84 | 1176 | 10
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84 | 336

We can't fit any more 840 in 336, so we check how many 84s are in 336 and what's the remainder:

84 | 336 | 4
     - 336

So there's no remainder. Now we add all the partial quotients to get the final result:

10 + 10 + 10 + 10 + 10 + 10 + 4 = <u>64

</u>
It's correct, I checked it with calculator. I just hope you'll be able to read something from that, it's quite difficult to do partial dividing with no pencil and paper :)
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3 years ago
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7 0
3 years ago
In ΔJKL, the measure of ∠L=90°, JL = 24, LK = 7, and KJ = 25. What is the value of the sine of ∠K to the nearest hundredth?
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7 0
3 years ago
in 1930 the average cost for a gallon of gasoline was $0.25. in 2007 the average cost for a gallon of gasoline is $2.60 what is
AlekseyPX
Hello! The first thing to do is to find the amount of change by subtracting both numbers. 2.60 - 0.25 is 2.35. Now, we set up a proportion by doing change/original = x/100. With the values plugged in, it would be written like this: 2.35/0.25 = x/100. Cross multiply the values in the proportion. When you do, you get 235 = 0.25x. Now, divide each side by 0.25 to isolate the "x". When you do that, x = 940. The price of gas has gone up 940% since 1930.
7 0
2 years ago
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Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?
suter [353]
A reflection through the axis and is given by the following transformation rule:
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 Therefore, C' is given by:
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6 0
3 years ago
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