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FrozenT [24]
3 years ago
5

L'età media di Aldo, Bruno, Carlo e Davide è 16 anni. Se non si tiene conto di Davide, l'età media dei tre rimanenti sale a 18.

Qual è l'età di Davide? ​
Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

Answer:

Davide's age is 10.

L'età di Davide è 10.

Step-by-step explanation:

The average age of Aldo, Bruno, Carlo and Davide is 16 years.

I am going to say that:

x is Aldo's age.

y is Bruno's age.

z is Carlo's age.

w is Davide's age.

Average of the 4 is 16 years.

This means that:

16 = \frac{x + y + z + w}{4}

x + y + z + w = 64

If we do not consider Davide, the mean is 18. So

18 = \frac{x + y + z}{3}

x + y + z = 54

Replacing in the first equation:

x + y + z + w = 64

54 + w = 64

w = 10

Davide's age is 10.

L'età di Davide è 10.

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The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. The profit from selling x shirts
oee [108]

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8 0
3 years ago
A small town has 2000 families. The average number of children per family is mu = 2.5, with a standard deviation sigma = 1.7. A
Nikitich [7]

Answer:

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where \mu=2.5 and \sigma=1.7

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And for this case the standard error would be:

\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where \mu=2.5 and \sigma=1.7

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And for this case the standard error would be:

\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125

6 0
3 years ago
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