Question

the formula w = 0.00189h ^ 2.64 is used to estimate the normal weight w of a boy h inches tall. find the expected weight of a boy who is 45 inches tall. the expected weight of the boy is approximately □ lb. (type an integer or a decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Substitute height value into formula

Given formula $w = 0.00189h^{2.64}$, and $h = 45$. So $w=0.00189\times45^{2.64}$.

Step2: Calculate $45^{2.64}$

Using a calculator, $45^{2.64}\approx2197.97$.

Step3: Calculate the weight

$w = 0.00189\times2197.97\approx 4.15416$.

Step4: Round to nearest tenth

Rounding $4.15416$ to the nearest tenth gives $4.2$.

Answer:

$4.2$