Simplifying
x + 6 = 3x + -14
Reorder the terms:
6 + x = 3x + -14
Reorder the terms:
6 + x = -14 + 3x
Solving
6 + x = -14 + 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.
6 + x + -3x = -14 + 3x + -3x
Combine like terms: x + -3x = -2x
6 + -2x = -14 + 3x + -3x
Combine like terms: 3x + -3x = 0
6 + -2x = -14 + 0
6 + -2x = -14
Add '-6' to each side of the equation.
6 + -6 + -2x = -14 + -6
Combine like terms: 6 + -6 = 0
0 + -2x = -14 + -6
-2x = -14 + -6
Combine like terms: -14 + -6 = -20
-2x = -20
Divide each side by '-2'.
x = 10
Simplifying
x = 10
Answer: (141.1, 156.48)
Step-by-step explanation:
Given sample statistics : 


a) We know that the best point estimate of the population mean is the sample mean.
Therefore, the best point estimate of the mean weight of all women = 
b) The confidence interval for the population mean is given by :-
, where E is the margin of error.
Formula for Margin of error :-

Given : Significance level : 
Critical value : 
Margin of error : 
Now, the 90% confidence interval for the population mean will be :-

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)
B is correct ..............
Answer:
C.
Step-by-step explanation:
-3 7/8 rounds down to -4
4.63 rounds up to 5
-4 x 6 + 5
-24 + 5
-19
her answer (-19.14) also rounds to -19
So yes, it is reasonable and the correct response is C.
Hey there!
Linear functions have a continuous change.
Let's check these tables and see if we can tell linear functions from non-linear functions.
The first one is
- we add 1 each time
- we subtract 3 each time

Let's try the next one:
- we add 1 each time
- we add 5 each time

Let's try the third one:
- x values: -1, 0, 1, 2
- - we add 1 each time
- we add 3, then 2, then 1..
So this table doesn't represent a linear function.
Let's check the fourth one:
- we add 1 each time
- we add 1 each time
Thus, Option C is the right option.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!