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lana [24]
2 years ago
11

Whats the surface area of a cube whose volume is 1664??​

Mathematics
2 answers:
snow_lady [41]2 years ago
8 0

Volume = side³

=> 1664 = side³

=> ³√1664 = side

=> 4 (³√26) = side

=> 4 (26^1/3) = side

Surface area = 6 side²

=> Surface area = 6 × [4 (26^1/3)]²

=> Surface area = 6 × 140.42 [approximately]

=> Surface area = 842.54 [approximately]

solmaris [256]2 years ago
7 0

Answer:

A≈842.53

:))))

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A large aquarium of water is being filled with a hose. Due to a problem, the sensor does not start working until some time into
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Answer: The sensor will read 300 liters after 5 minutes.

The sensor sensor should have read 120 liters at time -7 minutes.


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Given: The amount of water detected by sensor initially= 225 litres

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Therefore, the sensor reads after 5 minutes (put x=5 in the equation)= 225+5(15)=300\ liters

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emmainna [20.7K]

Answer:

a) 19.85% probability that a total of two people are struck by lightning during first four months of the year.

b) 22.68% probability that the year has 5 good and 7 bad months

Step-by-step explanation:

We are going to use the Poisson distribution and the binomial distribition to solve this question.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

a.Find the probability that a total of two people are struck by lightning during first four months of the year.

10 people during a year(12 months).

In 4 months, the mean is \mu = \frac{10*4}{12} = 3.33

This is P(X = 2).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 2) = \frac{e^{-3.33}*(3.33)^{2}}{(2)!} = 0.1985

19.85% probability that a total of two people are struck by lightning during first four months of the year.

b.Say that a month is good is no one is struck by lightning, and bad otherwise. Find the probability that the year has 5 good and 7 bad months.

Probability that a month is good.

P(X = 0), Poisson

The mean is \mu = \frac{10*1}{12} = 0.8333

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.8333}*(0.8333)^{0}}{(0)!} = 0.4346

Find the probability that the year has 5 good and 7 bad months.

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P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{12,5}.(0.4346)^{5}.(0.5654)^{7} = 0.2268

22.68% probability that the year has 5 good and 7 bad months

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