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Alecsey [184]
3 years ago
12

A trash bin has a capacity of 50 gallons. What percentage of its capacity is each of the following? Show your reasoning.

Mathematics
1 answer:
snow_lady [41]3 years ago
5 0

Answer:

Step-by-step explanation:

5 gallons  is 1/10 of 50 gallons; this is 10% of capacity.

30 gallons    30/50, or 60%

45 gallons     45/50, or 90%

100 gallons                    200%

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A bag contains 3 red, 4 blue, and 6 yellow marbles. One marble is selected at a time, and once a marble is selected, it is not r
astraxan [27]

The probability of choosing two yellow marbles = 5/26

Step-by-step explanation:

Step 1 :

Given

Total number of marbles in the bag = 13 marbles

Number of yellow marbles = 6.

We choose 2 marbles from the bag without replacing and need to determine the probability that both are yellow.

Step 2 :

Probability of finding yellow marble in the first try = Number of yellow marbles / Total number of marbles = \frac{6}{13}

Once the yellow marble is selected we have 5 yellow marbles among 12 remaining marbles in the bag.

Probability of finding yellow marble in the second try = Number of yellow marbles / Total number of marbles = \frac{5}{12}

Step 3:

P(yellow in first 2 tries) = P(yellow in first try) * P(yellow in second try)

P(yellow in first 2 tries) = \frac{6}{13} * \frac{5}{12} = \frac{5}{26}

Step 4:

Answer:

The probability of choosing two yellow marbles = 5/26

4 0
3 years ago
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kiruha [24]

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6 0
3 years ago
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