Answer:
We know that the total area under the normal curve is 100%. According to the empirical rule of Normal distribution:
Approximately, 68% of data lies within standard deviations of mean.
Approximately, 95% of data lies within standard deviations of mean.
Approximately, 99.7% of data lies with standard deviations of mean,
Therefore, in a normal curve, roughly 95% of all cases fall within plus or minus two standard deviations.
Answer:
1. Equilibrium solution: y= -3
2. Equilibrium solution y= ±1.414
Step-by-step explanation:
Thinking process:
The equilibrium solution can only be derived when
1. Let's look at the first equation:
equating to the expression
gives
y + 3 = 0
y = -3
Therefore, the equilibrium solution occurs at y = -3
2. Let's look at the second solution:
dividing each side by (t²-1) gives
1/(t²-1) = (y²-2)/ (y²-4)
factorizing the right hand side gives:
at equilibrium: , then
y² - 2 = 0
solving for y gives y = ±√2
= ±1.414