Question

calculate the medullary index of a hair with a diameter of 5.3 and a medulla of 2.2. is this hair human or animal?

select one:
a. the index is 0.24, and the hair is animal.
b. the index is 0.24, and the hair is human.
c. the index is 0.42, and the hair is human.
d. the index is 0.42, and the hair is animal.

Explanation:

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<reasoning>

Calculate the medullary index

\[
\text{Medullary Index} = \frac{\text{Diameter of Medulla}}{\text{Diameter of Hair}} = \frac{2.2}{5.3} \approx 0.415 \approx 0.42
\]

Determine the origin of the hair

\[

$$\begin{aligned} &\text{Medullary Index} \ge 0.5 \implies \text{Animal hair} \\ &\text{Medullary Index} \le 0.33 \implies \text{Human hair} \\ &0.42 > 0.33 \implies \text{Animal hair} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>a. The index is 0.24, and the hair is animal.</mcq-option>
<mcq-option>b. The index is 0.24, and the hair is human.</mcq-option>
<mcq-option>c. The index is 0.42, and the hair is human.</mcq-option>
<mcq-correct>d. The index is 0.42, and the hair is animal.</mcq-correct>
</answer>

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"Natural Science",
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]
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Answer:

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<reasoning>

Calculate the medullary index

\[
\text{Medullary Index} = \frac{\text{Diameter of Medulla}}{\text{Diameter of Hair}} = \frac{2.2}{5.3} \approx 0.415 \approx 0.42
\]

Determine the origin of the hair

\[

$$\begin{aligned} &\text{Medullary Index} \ge 0.5 \implies \text{Animal hair} \\ &\text{Medullary Index} \le 0.33 \implies \text{Human hair} \\ &0.42 > 0.33 \implies \text{Animal hair} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>a. The index is 0.24, and the hair is animal.</mcq-option>
<mcq-option>b. The index is 0.24, and the hair is human.</mcq-option>
<mcq-option>c. The index is 0.42, and the hair is human.</mcq-option>
<mcq-correct>d. The index is 0.42, and the hair is animal.</mcq-correct>
</answer>

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