Solve the problem. 4) The function H described by \( H(x)=2.75 x+71.48 \) can be used to estimate the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is \( x \mathrm{~cm} \) long. Estimate the height of a woman whose humerus is 34.3 cm long.

To estimate the height of a woman whose humerus is 34.3 cm long, we can plug this value into the function \(H(x)\): \[ H(34.3) = 2.75 \times 34.3 + 71.48 \] Calculating this step-by-step: 1. First, multiply \(2.75\) by \(34.3\): \[ 2.75 \times 34.3 \approx 94.325 \] 2. Next, add \(71.48\): \[ 94.325 + 71.48 \approx 165.805 \] So, the estimated height of the woman is approximately **165.8 cm**.