The conditional probabilities for X equaling 1, 2, and 3 are 0.7333 (73.33%), 0.25 (25%), and 0.0167 (1.67%) respectively.
To determine the values of b that fulfill 3(2b+3)^2 = 36
we start with
3(2b+3)^2 = 36
Divide both sides by 3
(2b+3)^2 = 12
Next, take the square root of both sides
(2b+3)} = (+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3
b1=\frac{\sqrt{12}}{2} -\frac{3}{2}
b1=\sqrt{3} -\frac{3}{2}
b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
Thus,
the solutions for b are
b1=\sqrt{3} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
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
Response:
Detailed explanation:
The function 
features a horizontal asymptote which is 
The function 
presents a horizontal asymptote which is 
One function lacks a horizontal asymptote because the degree of its numerator surpasses that of the denominator,
The function 
displays a horizontal asymptote which is 
Answer:
10,088 pounds
Step-by-step explanation:
Provided data
103 bushels of apples
102 bushels of grapes
101 bushels of oranges
With the respective weight per bushel:
Apples = 32 pounds
Grapes = 25 pounds
Oranges = 42 pounds
The total weight can be calculated by summing the products of each type:
Total Weight: 103(32) + 102(25) + 101(42) = 10,088 pounds
