( x - 7 )/ ( x - 2 ) = 5/4 , Therefore x = -------------

Mathematics

1 answer:

skad [1K]3 years ago

4 0

Answer:

x = -18

Explanation:

To solve this problem easily, we can cross multiply. You would multiply the numerator of the first fraction by the denominator of the second, and multiply the numerator of the second fraction by the denominator of the first. In this case, (x-7) would be multiplied by 4 and 5 would be multiplied by (x-2). The answers from these two calculations would each be one side of the equation.

After doing this, you can solve and isolate x.

Work is shown in the attached picture.

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How do I make this bell curve

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The mean you found is correct, but the standard deviation is not. Recall that the standard deviation $\sigma_s$ ( $s$ for sample) of $n$ points is given by

$\sigma_s=\sqrt{\dfrac1{n-1}\displaystyle\sum_{1\le i\le n}(x_i-\bar x)^2}$

where $n=10$ is the sample size, $\bar x=3740$ is the sample mean, and $x_i$ are the prices listed in the circled column. So

$\sigma_s=\sqrt{\dfrac{(3640-3740)^2+(7595-3740)^2+\cdots+(3390-3740)^2}{10-1}}$

$\implies\sigma_s\approx1443.98\approx1444$

I can't tell if you need to provide any more info beyond this, but given there's a plot of a generalized bell curve, I think you're also supposed to label the plot.

At the center of the bell-shaped/normal distribution is the mean. Notice there are three tick marks to either side of the mean - these are probably supposed to represent prices that fall exactly 1, 2, and 3 standard deviations from the mean. These are, from left to right,

$\bar x-3\sigma_s\approx3740-3(1444)=-592$