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grandymaker [24]
3 years ago
7

Sam picked 1/2 gallon of blueberries. He poured the blueberries into one of his plastic containers and noticed that the berries

filled the container 2/3 full. How many of Sam's containers will 1 gallon of blueberries fill?
Mathematics
1 answer:
Burka [1]3 years ago
6 0

Answer:

With 1 gallon of blueberries, Sam can fill 4/3 of his container.

Step-by-step explanation:

By the given situation:

1/2  gallon of blueberries  ⇒ The container is 2/3 full

Now, let us assume 1 gallon of blue berries   ⇒  The container is m full.

Now, by the RATIO OF PROPORTIONALITY:

\frac{\frac{1}{2} }{\frac{2}{3} }  = \frac{1}{m} \\\implies {\frac{1}{2} } \times {\frac{3}{2} }  =  \frac{1}{m}\\or,\frac{1}{m} = \frac{3}{4} \\\implies  m =  \frac{4}{3}

Hence, with 1 gallon of blueberries, Sam can fill 4/3 of his container.

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Answer:

The probability that exactly half of the colonies will thrive = (1/3) = 0.3333

Step-by-step explanation:

The list of random numbers simulates the out comes of 4 colonies.

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The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.

Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.

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The number of trials where exactly 2 colonies thrive = 2

The total number of trials = 6

The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333

Hope this Helps!!!

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