Response:
The goat population will reach 1000 in a time span of 12.4 years
Detailed explanation:
After t years, the population of goats is described by
where 
indicates the initial count of goats and b is the growth rate per capita.
Based on the problem,
- b = 0.5
- N = 1000
Time required equals 66 2/3 minutes, which is equivalent to approximately 1.11 hours.
Response: The accurate statements include:-
There are nearly equal quantities of points located above and below the x-axis.
The points are distributed haphazardly without a distinct pattern.
The total number of points matches that of the scatter plot.
Explanation:
- A residual plot illustrates residuals on the vertical axis against the independent variable on the horizontal axis.
Consequently, the count of points is on par with the scatter plot, and roughly the same amount of points exist above and below the x-axis.
Given the random distribution of the points throughout the plot, it signifies there is no correlation, therefore, the points are scattered randomly without a clear arrangement.
B. f(x) ≤ 0 over the interval [0, 2]. D. f(x) > 0 over the interval (–2, 0). E. f(x) ≥ 0 over the interval [2, ).
