Answer:
The goat population reaches 1000 in 12.4 years
Step-by-step explanation:
After <em>t </em>years, the number of goats is given by

where
is the initial number of goats and <em>b</em> is the per capita growth rate.
From the question,
- <em>b</em> = 0.5
- <em>N</em> = 1000




Answer:
Step-by-step explanation:
a)
Test statistic:




here test statistic lie in rejection region,that why null hypothesis fails
so Yes, its significant.
b)
Test statistic:




c)
sample variability increases, therefore likelihood of rejecting the null hypothesis decreases.
Answer:
Option A is correct
The expression which is equivalent to
is
Step-by-step explanation:
Using the formula:
.....[1]
Given the expression:

Substitute the value of x = 5 in [1]
we get;
Therefore, the expression which is equivalent to
is
Answer:
t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.
Step-by-step explanation:
100 = 5 * 10^(0.3t), solve for t
Divide both sides by 5:
20 =10^(0.3t)
Take the log of both sides:
0.3t =log(20)
Divide both sides by 0.3:
Multiply the RHS by 10 / 10
t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.