Answer:
-9
Step-by-step explanation:
2 - 3 + (-5) + (-3)
2-3 - 5 - 3
-1 -5 -3
-6-3
-9
4x - 24y = 72
First subtract 4x from each side
-24y = -4x + 72
Divide each side by -24 so y is by itself
y = -4/-24x + 72/-24
To simplify -4/-24, the greatest common factor they have is -4, so divide the numerator and denominator by -4
y = 1/6x + 72/-24
To simplify 72/-24, the greatest common factor is 24, so divide the numerator and denominator by 24
y = 1/6x - 3
This is now in slope intercept form
Answer:
5
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
On average, how much error would be expected between the sample mean and the population mean?
This is the standard deviation of the sample. We have that 
. So
The answer is 5.
We let x and y represent the two angles,
y = 2x + 6
It was stated in the problem that these angles given are a linear pair. Angles in linear pair are said to add up to 180 degrees. Thus,
y + x = 180
2x + 6 + x = 180
3x = 174
x = 58°
y = 122°
True
If all sides of a triangle are congruent with those of another triangle, the triangles are congruent. SSS is an abbreviation or mnemonic for side-side-side, telling you what must be congruent in order for this postulate to apply.
