Answer: x + 12 = 3x + -22
12 + x = 3x + -22
Reorder the terms:
12 + x = -22 + 3x
Solving
12 + x = -22 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
12 + x + -3x = -22 + 3x + -3x
Combine like terms: x + -3x = -2x
12 + -2x = -22 + 3x + -3x
Combine like terms: 3x + -3x = 0
12 + -2x = -22 + 0
12 + -2x = -22
Add '-12' to each side of the equation.
12 + -12 + -2x = -22 + -12
Combine like terms: 12 + -12 = 0
0 + -2x = -22 + -12
-2x = -22 + -12
Combine like terms: -22 + -12 = -34
-2x = -34
Divide each side by '-2'.
x = 17
Simplifying
x = 17
Answer:
a) Option A)
b) Point estimate of difference = -78
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $1,503
Sample mean, 
= $1,425
Sample size, n = 25
Sample standard deviation, s = $160
We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.
a) First, we design the null and the alternate hypothesis
b) Point estimate of the difference between the mean annual premium in Pennsylvania and the national mean
Point estimate of difference =
Mean annual premium in Pennsylvania - National mean
Thus,
Point estimate of difference = -78
Answer:
a) 3x - 6x^2y + 2xy - 2x
b) 4x^2 <u>- 3y </u>+ 2x <u>+ 7y</u>
Step-by-step explanation:
Like terms is when the terms are the same.
For example, 3x and -2x would be like terms (both have x).
Not like terms would be 4x^2 and +2x (one is just an x and the other is x^2).
