The 90th percentile corresponds to Z ≈ 1.28155.
Answer: 24cm
Step-by-step explanation:
R = 25 cm
S = 7 cm
T = ?
The square of equals to the addition of the square of S and the square of T.
R^2 = S^2 + T^2
25^2 = 7^2 + T^2
T^2 = 25^2 - 7^2
T^2 = 625 - 49
T =✓576
T = 24cm
The quotient of a number t and 7, plus 2, is -4 ?
t/7 +2 = -4
Newton's law of cooling states that under forced convection (which is assumed to be true), then
dT(t)/dt = -k(T(t)-Ta)..............(1)
T(t)=temperature
Ta=ambient temperature=40F
k=cooling constant = 0.1947
T(0)=98.6F (assuming victim did not have fever)
Integrate (1)
T(t)-Ta=(T(t)-T(0))e^(-kt)
Solve for t
(T(t)-Ta)/(T(t)-T(0)) = e^(-kt)
take log:
-kt=log_e((T(t)-Ta)/(T(t)-T(0)))
substitute T(t)=80F, Ta=40F,T(0)=98.6F
-kt=log_e((80-40)/(98.6-40))=-0.38186
t=0.38186/0.1947
=1.96, or almost 2 hours (assuming k=0.1947 is in hours)
