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3 years ago

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A rectangular block of metal is 256mm long, 152mm wide and 81mm high. If the metal block is melted to form a cube, find the leng

th of each side of the cube.
(answer: 147mm)
please explain with details

1 answer:

Nimfa-mama [501]3 years ago

8 0

Answer:

147mm

Step-by-step explanation:

volume of the block:

256×152×81

3,151,872 mm³

volume of a cube: side³

side³ = 3,151,872

side = 3,151,872^⅓

side = 146.618753863

approximately 147 mm

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Step-by-step explanation:

Denote the events as follows:

<em>A</em> = a competitor will advertise

<em>NA </em>= a competitor will not advertise

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<em>H </em>= High sales will be achieved

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Compute the probability that next week the competitor will advertise as follows:

$P(A)=\frac{n(A)}{N}=\frac{64}{120}=0.5333$

Thus, the probability that next week the competitor will advertise is 0.5333.

(b)

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$P(H^{c})=1-P(H)=1-\frac{n(H)}{N}=1-\frac{41}{120}=\frac{120-41}{120}=0.6583$

Thus, the probability that next week sales will not be high is 0.6583.

(c)

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Since the sales achieved will either be medium or high. They cannot be both.

So, P (M ∩ H) = 0.

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$P(M\cup H)=P(M)+P(H)=\frac{26}{120}+\frac{41}{120}=\frac{26+41}{120}=0.5583$

Thus, the probability that next week there will be medium or high sales will be achieved is 0.5583.

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Compute the probability that next week either the competitor will advertise, or only low sales will be achieved as follows:

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Thus, the the probability that next week either the competitor will advertise, or only low sales will be achieved is 0.7083.

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Compute the probability that next week either the competitor will not advertise, or high sales will be achieved as follows:

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Thus, the the probability that next week either the competitor will not advertise, or high sales will be achieved is 0.6167.

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Answer:

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<em>-------------------------------------------------------------------------------------------------------------</em>

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<em>-------------------------------------------------------------------------------------------------------------</em>

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<em>-------------------------------------------------------------------------------------------------------------</em>

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