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2 years ago

14

Solve for x

itle="1 + \sqrt{5 - x} + x = 0" alt="1 + \sqrt{5 - x} + x = 0" align="absmiddle" class="latex-formula">

1 answer:

zheka24 [161]2 years ago

8 0

I hope this helps. You can use quadrant first before the other method(first one) because the first one looks for the discriminant.

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Answer:

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And we can use the normal standard distribution table or excel and with the complement ruler we got:

$P(z>-2.108) =1- P(z$

Step-by-step explanation:

We know the following info given:

$\mu = 997$ represent the true mean

$\sigma = \sqrt{3844}= 62$ represent the population deviation

$n = 73$ represent the sample size selected

Since the sample size is large enough (n>30) we can use the central limit theorem and the sample mean would have the following distribution:

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

And for this case we want to find this probability:

$P(\bar X >981.7)$

And we can use the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z = \frac{981.7 -997}{\frac{62}{\sqrt{73}}}= -2.108$

And we can use the normal standard distribution table or excel and with the complement ruler we got:

$P(z>-2.108) =1- P(z$

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