Answer:
a. yˆ=38,000+2500x
d. yˆ=38,000−1500x
Step-by-step explanation:
The least squares regression line for the population change of a small country has the following format:
![y^{^} = a + bx](https://tex.z-dn.net/?f=y%5E%7B%5E%7D%20%3D%20a%20%2B%20bx)
In which a is the initial population and b is the number of habitants for which the population increases/decreases a year.
Let's see each case
a. yˆ=38,000+2500x
The population starts at 38000 and increases by 2500 a year. This is a feasible assumption.
b. yˆ=38,000−3500x
The population starts at 38000 and increases by 3500 a year. By the year 2015, the population will be negative. This is not a feasible assumption.
c. yˆ=−38,000+2500x
The population cannot start at a negative value. So this is not a feasible assumption.
d. yˆ=38,000−1500x
The population starts at 38000 and decreases by 1500 a year. This is a feasible assumption.
Answer:
1. 4x
2. 3x+9
3. 8x-21
Step-by-step explanation:
1. Combine like terms (3x)+(2x)(-x)
2. 3(x+3)
3x+9
3. 6x-3+2(x-9)
6x-3+2x-18
6x-3+2x-18
6x-21+2x
6x-21+2x
8x-21
A = 65
b = 25
c = 25
d = 75
Explanation:
a = 180 - (60 + 55) = 180 - 115 = 65 (Angles on a straight line)
b = 90 - a = 90 - 65 = 25 (Angles in a right triangle)
c = b = 25 (Vertically Opposite Angles)
d = 90 - 15 = 75
Answer:
The Explanation is below .
Step-by-step explanation:
a. )
Raul is correct because Height should always be Perpendicular
and Raul has drawn Height 'h' Perpendicular to the corresponding Base 'b'.
b. )
Mark is incorrect because Height drawn is NOT Perpendicular.
c. )
Kiki is incorrect because the corresponding base is incorrect, Height drawn is correct that is Perpendicular.
The answer is that 48 have been planted with bean and corn and 24 acres is beans and another 24 acres is corn