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3 years ago

Please help out and if you know help me show work ??

Mathematics

1 answer:

Ghella [55]3 years ago

7 0

Answer: 14

Step-by-step explanation:

Consecutive even numbers would be {2, 4, 6, 8, 10, ...}

Let x represent the smallest number, then x + 2 is the middle number and x + 4 is the largest number.

1st number: x

2nd number: x + 2

3rd number: x + 4

1st number + 2nd number + 3rd number = Sum

(x) + (x + 2) + (x + 4) = 48

3x + 6 = 48

3x = 42

x = 14

1st number: x ⇒ x = 14

2nd number: x + 2 ⇒ 14 + 2 = 16

3rd number: x + 4 ⇒ 14 + 4 = 18

Check:

14 + 16 + 18 = 48 $\checkmark$

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Answer:

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And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

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And the standard error of the mean would be:

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4.1.5

Step-by-step explanation:

Previous concepts

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Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(60,13.5)$

Where $\mu=60$ and $\sigma=13.5$

And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

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

And the standard error of the mean would be:

$\sigma_{\bar X} =\frac{13.5}{\sqrt{81}}= 1.5$

4.1.5

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If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
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