The answer: " x = 68, y = 72 " .
____________________________
Explanation:
________________________________________
46 + (x - 3) + (y - 3) = 180 .
46 + 1(x - 3) + 1(y-3) = 180 .
46 + 1x - 3 + 1y - 3 = 180 .
46 - 3 - 3 + 1x + 1y = 180 .
40 + x + y = 180 ;
Subtract "40" from EACH SIDE of the equation:
______________________________________
40 + x + y - 40 = 180 - 40 ;
to get:
x + y = 140 ;
_____________________________________
Now:
_____________________________________
65 = (x - 3) ;
↔ x - 3 = 65 ;
Add "3" to EACH SIDE of the equation;
x - 3 + 3 = 65 + 3 ;
to get:
x = 68 .
______________________________
Now:
Since: "x + y = 140" ;
Let us plug in our known value, "68" ; for "x" ;
to solve for "y" ;
__________________________________
x + y = 140 ;
68 + y = 140 ;
↔ y + 68 = 140 ;
Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
______________________________________________
y + 68 - 68 = 140 = 68 ;
y = 72 .
______________________________________________
So, solve for "x" and "y".
x = 68, y = 72 .
_______________________________________________
Answer:
The correct answer is:
the amount of difference expected just by chance (b)
Step-by-step explanation:
Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:
standard error = (mean deviation) ÷ √(sample size).
standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.
C
D
Reason: their ratio is 1
Mark brainliest please
The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is
= –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>


<u>Point-slope formula:</u>

Substitute the given values in the formula, we get



Subtract 3 from both sides of the equation.


Hence the equation of the parallel line is y = –2x – 11.