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Zielflug [23.3K]
3 years ago
5

A snack-size bag of M&Ms candies contains 14 red candies, 10 blue, 5 green, 11 brown, 3 orange, and 12 yellow. If a candy is

randomly picked from the bag, compute the following. (a) the odds of getting a green M&M (b) the probability of getting a green M&M
Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

The odds of getting a green M&M  is \frac{1}{10} and  the probability of getting a green M&M  is \frac{1}{11}

Step-by-step explanation:

Red candies = 14

Blue candies = 10

Green candies =  5

Brown candies = 11

Orange candies = 3

Yellow candies = 12

Total No. of candies = 14+10+5+11+3+12 = 55

(a) the odds of getting a green M&M

Green candies = 5

Total number of candies excluding green or unfavorable = 50

Odds of getting a green M&M  = \frac{\text{favorable outcome}}{\text{Unfavorable outcomes}}

                                                   = \frac{5}{50}

                                                   = \frac{1}{10}

(b) the probability of getting a green M&M

Green candies = 5

Total No. of candies = 55

So,  the probability of getting a green M&M =\frac{5}{55}

                                                                        =\frac{1}{11}

Hence the odds of getting a green M&M  is \frac{1}{10} and  the probability of getting a green M&M  is \frac{1}{11}

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Answer:

P(success at first attempt) = 0.1353

Step-by-step explanation:

This question follows poisson distribution. Thus, the formula is;

P(k) = (e^(-G) × (G)k)/k!

where;

G is number of frames generated in one frame transmission time(or frame slot time)

Let's find G.

To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.

Now, in 1000 ms, the number of frames generated = 50

Thus; number of frames generated in 50 ms is;

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G = 2.5

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P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353

8 0
3 years ago
Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to
prohojiy [21]

Answer:

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

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Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

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And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

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Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means A= 300000 and we want to find the value for t.

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

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And rounded to the nearest tenth would be 9.2 years.

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3 years ago
Help Dana find the sum 346 421 152
chubhunter [2.5K]
To add and get the sum 
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We start on the ones place 6 + 1 + 2 = 9, the sum of the digits in the ones place is not up to 10, we will not regroup this ones place.

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Since we are not able to regroup the ones place there is no regrouped tens to add, therefore the answer to 13b is also NO.

Next is the tens place, 4 +2 +5 = 11, the sum of the digits in the ones place is up to 10 so we regroup the tens place.

Thus, the answer to 13c is YES.

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Answer: The building would be 11 inches wide

Step-by-step explanation:

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