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Forensic scientists use the following function to find the height of a woman if they are given the height of her femur bone, [tex]f[/tex], in centimeters.

Find the height of a woman whose femur measures 57 centimeters.

[tex]H(f) = 2.59f + 47.24[/tex]

The height of a woman whose femur measures 57 centimeters is [tex]\square[/tex] centimeters.

(Type an integer or a decimal.)

Answer :

To find the height of a woman whose femur measures 57 centimeters, we use the provided function:

[tex]\[ H(f) = 2.59f + 47.24 \][/tex]

Let's plug in the femur measurement into the function:

1. Identify the femur bone length: The femur bone length is given as 57 centimeters.

2. Substitute the femur length into the function:
[tex]\[
H(57) = 2.59 \times 57 + 47.24
\][/tex]

3. Perform the multiplication:
[tex]\[
2.59 \times 57 = 147.63
\][/tex]

4. Add the constant term:
[tex]\[
147.63 + 47.24 = 194.87
\][/tex]

Therefore, the height of the woman whose femur measures 57 centimeters is 194.87 centimeters.

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