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3 years ago

Solve the given portion x/4 3/6

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

6 0

$\sf\purple{x\:=\:2}$ ✅

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$\frac{x}{4} = \frac{3}{6} \\ \\ ➪ \: x = \frac{1 \times 4}{2} \\ \\ ➪ \: x = \frac{4}{2} \\ \\ ➪ \: x = 2$

Therefore, the value of $x$ is 2.

${ \bf{ \underbrace{To\:verify :}}}$

$\frac{x}{4} = \frac{3}{6} \\ \\➪ \: \frac{2}{4} = \frac{3}{6} \\ \\ ➪ \: \frac{1}{2} = \frac{1}{2} \\ \\➪ \: L.H.S.=R. H. S$

Hence verified. ✔

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$

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kow [346]

Answer:

$P(X$

Step-by-step explanation:

Assuming a mean of $204 per night and a deviation of $55.

a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)?

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".

Let X the random variable that represent the cost per night at the hotel, and for this case we know the distribution for X is given by:

$X \sim N(204,55)$

Where $\mu=204$ and $\sigma=55$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

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

We are interested on this probability

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And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>225)=P(\frac{X-\mu}{\sigma}>\frac{225-\mu}{\sigma})$

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And we can find this probability on this way:

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3 years ago

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Answer:

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Step-by-step explanation:

we have

$y=2x+1$ -----> equation A

$x+3y=10$ -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (1,3)

see the attached figure

therefore

The solution of the system of equations is

$x=1,y=3$

Find the difference

$y-x=3-1=2$

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4 years ago

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Answer:

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