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postnew [5]
3 years ago
6

there are 57 m&ms in a standard size bag. at 240 calories per bag how many calories is it per m&m

Mathematics
2 answers:
frutty [35]3 years ago
6 0
Divide 240 by 57 and you should get your answer
DENIUS [597]3 years ago
4 0
240/57
240 calories/57 m&ms
about 4.21 calories per m&m
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Your friend Alex is planning a fundraising game night to raise money for a local children's hospital. She invites a few of your
katrin [286]

Step-by-step explanation:

(a) You win $5 if you roll a six, $1 if you roll an odd number, and $0 if you roll a 2 or a 4, and you pay $1.50 for every roll.  The expected value is the sum of each outcome multiplied by its probability.

E = (5.00)(1/6) + (1.00)(3/6) + (0)(2/6) + (-1.50)(1)

E = -0.167

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(b) The probability of rolling a 2 or 4 on a fair die is 2/6 or 1/3.  The probability of this happening five times is:

P = (1/3)⁵

P = 1/243

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(c) The confidence interval for a proportion is:

CI = p ± ME

ME = CV × SE

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The critical value for 95% confidence is z = 1.960.

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SE = √(pq/n)

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SE = √((1/6) (5/6) / 100)

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(d) Under the current game rules and die probabilities, the expected value is:

E = (5.00)(0.08) + (1.00)(0.33) + (0)(0.59) + (-1.50)(1)

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To make the game fairer, but to still give Alex the advantage so she can make money for her fundraiser, we need to change the rules of the game so that the expected value is less negative.

One simple way to do this is to pay players $2.00 if they roll a 2.

Now the expected value is:

E = (5.00)(0.08) + (1.00)(0.33) + (2.00)(0.29) + (0)(0.30) + (-1.50)(1)

E = -0.19

Now instead of expecting to lose on average $0.77 per roll, players can expect to lose on average $0.19 per roll.  This means they have a better chance of winning money, but Alex still has the advantage.

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Answer:

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Answer at very bottom of picture above

if explanation need comment

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