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Anastaziya [24]
2 years ago
10

It takes a hose 4 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 14 inches tall. How long will it take

the same hose to fill an aquarium measuring 29 inches by 30 inches by 32 inches?
Mathematics
2 answers:
Masja [62]2 years ago
5 0
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sdas [7]2 years ago
5 0

Answer:

110 minutes

Step-by-step explanation:

This is a volume question where we find the volume of each aquarium and work out per minute rate, here we can either divide the time amount given for per volume of the smaller tank back into the volume of the larger aquarium

- or find per minute first as shown below and divide per minute into total volume.

v / u  = t  

where v is volume

where u is our multiplier  one part and time found ie) 1 minute)

where t is total time

Smaller Tank

Volume = 8 x 9 x 14 = 1008 inch cube

Per minute rate = 1008/4 = 252 inch p/m

Larger Tank

Volume 29 x 30 x 32 = 27840 inch cube

Total minutes  27840 / 252 = 110.476190476 = 110 minutes 28 seconds.

or 110.47 minutes to 2 dp.

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The conditional probability formula for P(B | A) has been derived from two dependent events P(A and B).

<h3>What is said to be dependent events?</h3>

When the outcome from one event influences the outcome of the other, two events are referred to as dependent.

  • Dependent events in probability are generally real-life events that depend on another event to occur.
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Derivation of conditional probability from two dependent events P(A and B) is-

The probability multiplication rule is used to derive the conditional probability formula, P(A and B) = P(A)×P(B|A).

This rule is also known as P(AB). The Union symbol (∪) represents "and," as in event A occurring and event B occurring.

Step 1: Write the multiplication rule down:

           P(A and B) = P(A)*P(B|A)

Step 2: P(A) divides both sides of the equation:

           P(A and B) / P(A) = P(A)*P(B|A) / / P(A)

Step 3: On the right side of the equation, cancel P(A):

           P(A and B) / P(A) = P(B|A)

Step 4: Rewrite the equation as follows:

           P(B|A) = P(A and B) / P(A)

Therefore, P(B | A) conditional probability formula is compiled from two dependent events P (A and B).

To know more about the conditional probability, here

brainly.com/question/10739997

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