x ≤ 6
which is A
or if not then it's B for
x ≥ 6
Answer:
This means that the correct initial value problem for the population p(t) as a function of time is is 
Step-by-step explanation:
The population of a town increases at a rate proportional to its population:
This means that this situation is modeled by the following differential equation:

In which k is the growth rate.
By separation of variables, the solution is given by:

In which P(0) is the initial population.
Initial population of 1000.
This means that the correct initial value problem for the population p(t) as a function of time is is 
C, because the equation of the table is y=80x. The equation for the graph is y=45x. When x is 11, you have 880 and 495. The difference is 385.
Answer:
All positive real numbers
Step-by-step explanation:
Given
The model can be represented as:



Required
Determine the domain
This means that we list out possible values of x.
If x represents time, then it is impossible for x to be negative.
This implies that x can take any value as long as it is greater than or equal to 0.
<em>Hence, the domain is all positive real numbers</em>
Answer:
P-value = 0.02275
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 12 kilograms
Sample mean,
= 11.5 kilograms
Sample size, n = 4
Alpha, α = 0.05
Population standard deviation, σ = 0.5 kilograms
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
We calculate the p-value from the standard z-table:
P-value = 0.02275