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3 years ago

Which point represents the outlier? OA. (2,3) O B. (4, 5) O C. (3, 13) OD (8,9)

Mathematics

1 answer:

Mrac [35]3 years ago

5 0

Picture relating to the required graph is attached below

Answer:

C. (3, 13)

Step-by-step explanation:

According to the inspected scatterplot, we could actually observe a possible data trend which is where the majority of the samples are clustered. In a graphical representation of data, data points which deviates away from the trend of the majority of the points are considered as outliers. In the scenario above, the point (3, 13) seems too far off from the actual trend line, thus showing a greater y value than the pattern actually predicts.

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Answer:

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Step-by-step explanation:

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$g(x)=\int_{a}^{x}f(t)dt \:\:a\leqslant x\leqslant b$

2) In this case, we'll need to find the derivative applying the chain rule. As it follows:

$h(x)=\int_{a}^{x^{2}}\sqrt{5+r^{3}}\therefore h'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left (\int_{a}^{x^{2}}\sqrt{5+r^{3}}\right )\\h'(x)=\sqrt{5+r^{3}}\\Chain\:Rule:\\F'(x)=f'(g(x))*g'(x)\\h'=\sqrt{5+r^{3}}\Rightarrow h'(x)=\frac{1}{2}*(r^{3}+5)^{-\frac{1}{2}}*(3r^{2}+0)\Rightarrow h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}$

3) To test it, just integrate:

$\int \frac{3r^{2}}{2\sqrt{r^3+5}}dr=\sqrt{r^{3}+5}+C$

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3 years ago

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Answer:

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Step-by-step explanation:

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9514 1404 393

Answer:

partial products: 0.25, 1.5, 0.50, 3
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Step-by-step explanation:

The partial products are apparently derived by multiplying parts of each value on either side of the decimal point:

1.5 × 3.50 = (1 + 0.5)(3 + 0.50) = 1×3 + 0.5×3 +1×0.50 +0.5×0.50

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