Write 4 litres 150 ml to the nearest half a lirter
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The volume of the regular pyramid is 128 unit³.
Option D) 128 unit³ is the correct answer.
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<h3>What is the volume of the regular pyramid?</h3>The volume of pyramid is expressed as;
V = ( 1/3 ) × l × w × h
Given that;
- Length l = 8
- Width W = 8
- Height h = 6
We substitute our given values into the equation above.
V = ( 1/3 ) × 8 × 8 × 6
V = 128 unit³
The volume of the regular pyramid is 128 unit³.
Option D) 128 unit³ is the correct answer.
Learn more about volume of pyramid here: brainly.com/question/17615619
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<h3>Answer: 0.4545</h3>
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Work Shown:
Define the following events
- B = the man takes the bus
- S = the man takes the subway
- L = the man is late
- L' = the man is not late (ie the man is on time)
Draw out a probability tree. See diagram below.
From the tree diagram, we can figure out that P(L) = 0.44 which is the probability of being late. Note how I considered the two probabilities P(B & L) and P(S & L)
- P(B & L) = probability of taking the bus and being late
- P(S & L) = probability of taking the subway and being late
The events (B & L) and (S & L) are mutually exclusive, so we can add them up. Combining them will have us find the overall probability of being late. For more information, check out the law of total probability.
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Now use a conditional probability formula to find...
P(B|L) = probability the man takes bus given he is late
P(B|L) = P(B & L)/P(L)
P(B|L) = 0.2/0.44
P(B|L) = 0.45454545454546 approximately
P(B|L) = 0.4545 rounding to four decimal places
note: when I write "P(B|L)", I am using a vertical bar. I'm not using an uppercase letter 'i' or a lowercase letter L.