Answer:
(P(t)) = P₀/(1 - P₀(kt)) was proved below.
Step-by-step explanation:
From the question, since β and δ are both proportional to P, we can deduce the following equation ;
dP/dt = k(M-P)P
dP/dt = (P^(2))(A-B)
If k = (A-B);
dP/dt = (P^(2))k
Thus, we obtain;
dP/(P^(2)) = k dt
((P(t), P₀)∫)dS/(S^(2)) = k∫dt
Thus; [(-1)/P(t)] + (1/P₀) = kt
Simplifying,
1/(P(t)) = (1/P₀) - kt
Multiply each term by (P(t)) to get ;
1 = (P(t))/P₀) - (P(t))(kt)
Multiply each term by (P₀) to give ;
P₀ = (P(t))[1 - P₀(kt)]
Divide both sides by (1-kt),
Thus; (P(t)) = P₀/(1 - P₀(kt))
. If the initial angle is given in the form or radians, add or subtract 2π instead of 360°. Adding 2π to the original angle yields the positive coterminal angle. By subtracting 2π from the original angle, the negative coterminal angle has been found.
Answer:
Z- score is - 2.21
Step-by-step explanation:
Given that,
Mean = 21.1
Standard deviation = 4.8
sample size (n) = 50
sample mean = 19.6
we want to find, z-score corresponding to mean of 19.6
Z = =-2.21
Z-score is -2.21