Question

the formula (w = 0.00185h^{2.65}) is used to estimate the normal weight (w) of a boy (h) inches tall. find the expected weight of a boy who is 35 inches tall. the expected weight of the boy is approximately (square) lb. (type an integer or a decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Substitute the value of h.

Given the formula $w = 0.00185h^{2.65}$, and $h = 35$. Substitute $h = 35$ into the formula: $w=0.00185\times35^{2.65}$.

Step2: Calculate $35^{2.65}$.

Using a calculator, $35^{2.65}\approx1489.77$.

Step3: Calculate the value of w.

$w = 0.00185\times1489.77\approx2.756$.

Step4: Round to the nearest tenth.

Rounding $2.756$ to the nearest tenth gives $2.8$.

Answer:

$2.8$