The standard form would be x+3y=-27
Answer:
I would tell this friend to think of f(5) as them telling you what x is.
Step-by-step explanation:
So basically you would be imputing 5 everywhere x is to solve the equation.
A <span>separable differential equation</span> is a first-order differential equation in which the expression for dy/dx can be factored as a function of x times a function of y,
that is, dy/dx = g(x) f(y). We can solve this equation by integrating both sides of the equation dy/f(y) = g(x)dx.
Answer:
We conclude that the plant should shut down.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 60
Sample mean,
= 61.498
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 6
a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.
We use One-tailed(right) z test to perform this hypothesis.
b) Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.
Calculating the p-value from the z-table:
P-value = 0.0063
Since,
P-value < Significance level
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.