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2 years ago

What is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8?

Mathematics

2 answers:

kenny6666 [7]2 years ago

8 0

4x+8(0.8) = 40
4x = 40-6.4
4x = 33.6
x = 8.4

Vesna [10]2 years ago

6 0

Answer:

Step-by-step explanation:

4x+8(0.8) = 40

4x = 40-6.4

4x = 33.6

x = 8.4

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Answer:

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

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Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

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$\bar X = \frac{62.532+76.478}{2}= 69.505$

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