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2 years ago

Find the values of x in this equation: x - (15/x)= 2

2 answers:

8 0

x - (15/x)= 2
x^2 - 15 = 2x
x^2 - 2x - 15 = 0
(x -5)(x + 3) = 0
x - 5 = 0; x = 5
x + 3 = 0; x = -3

answer
x = -3, 5

Nataly_w [17]2 years ago

3 0

Multiply all terms by x and cancel
xx+-15=2x
x^2-15=2x simplify both sides
x^2-15-2x=2x-2x subtract 2x from both sides
x^2-2x-15=0
(x+3)(x-5)=0 factor left side of equation
x+3=0 or x-5=0 set factors equal to 0
x=-3 or x=5
hope this helps!

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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".

Solution to the problem

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

$X \sim N(14.7,3.7)$

Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of 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 we have;

$\mu_{\bar X}= 14.70$

$\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59$

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