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Nostrana [21]
3 years ago
15

Gene is playing a game with a bag of marbles. 3 of the marbles are blue, 4 are green, and 7 are yellow. See below for awarded pr

izes. $2 green $0.5 yellow $4 blue What is the expected cost (or payout for Gene's game?
Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

<h2><em>$23.5</em></h2>

Step-by-step explanation:

Gene is playing a game with a bag of marbles. If 3 of the marbles are blue, 4 are green, and 7 are yellow and awarded prices for the marbles are $2 green $0.5 yellow $4 blue, the expected payout for Gens game is expressed as shown;

If a blue marble costs $4, 3 blue marbles will cost 3*$4 = $12

If a green marble costs $2, 4 green marbles will cost 4*$2 = $8.0

If a yellow marble costs $0.5, 7 yellow marbles will cost 7*$0.5 = $3.5

Total payout for Gene's game will be the equivalent to $12+ $8 + $3.5 = $23.5.

<em>Hence Gene expected cost will be $21.5</em>

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4 0
3 years ago
Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 15% to pay off an old debt. He
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Answer:

Chan's Bonus amount was $2400.

Step-by-step explanation:

Let the Total amount receive from bonus be 'x'.

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Chan pays 30% in taxes;

So we can say;

Amount paid in taxes will be equal to 30% of total amount receive

framing in equation form we get;

Amount paid in taxes = \frac{30}{100}x=0.3x = 0.3x

Now Given:

Chan pays 30% in Charity;

So we can say;

Amount paid in charity will be equal to 30% of total amount receive.

framing in equation form we get;

Amount paid in Charity = \frac{30}{100}x=0.3x

Also Given:

Chan pays 30% in old debts;

So we can say;

Amount paid in Old debts will be equal  30% of total amount receive

framing in equation form we get;

Amount paid in Old debts = \frac{15}{100}x=0.15x

Money left with him = $600

Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.

framing in equation form we get;

x=0.3x+0.3x+0.15x+600\\\\x= 0.75x +600\\\\x-0.75x=600\\\\0.25x=600\\\\x=\frac{600}{0.25} = \$2400

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7 0
3 years ago
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trasher [3.6K]

Answer:

<em>D. 30</em>

Step-by-step explanation:

6  ÷  1/5 <em>-given expression</em>

6  x  5   <em>-use the </em><em>keep, change, flip </em><em>method, where you</em><em> keep</em><em> the </em><u><em>first </em></u><em>number, </em><em>change</em><em> the </em><u><em>division sign</em></u><em> to a </em><u><em>multiplication sign</em></u><em>, and </em><em>flip</em><em> the f</em><u><em>raction</em></u><em> that comes after the symbol.</em>

<em>6 x 5 = 30</em>

<em>30 is the answer</em>

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Find the value of x in each case.
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62 is the awnser for this
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