Answer:
6(x-3y+6)
Step-by-step explanation:
The line which rises to the left has slope of -1/3 and y intercept of 2 so we have
y = -1/3x + 2
3y = -x + 6
x + 3y = 6
Shading is below and the line is solid so the inequality is
x + 3y ≤ 6
The other line has equation
y = 3x - 1
and inequality is
y ≥ 3x - 1
The answer is B
The red triangle and the green rectangle are 14
The purple triangle and blue square are 16
Triangle is
(1/2)*Base*Height
Answer:
0.3
Step-by-step explanation:
The margin of error is calculated as ...
(standard deviation)/√(sample size) × (z*-score)
where the z*-score is chosen based on the desired confidence level.
Here, you have ...
- standard deviation = 2.7
- √(sample size) = √225 = 15
- z*-score for 90% confidence level = 1.645
Putting these values in the above expression for margin of error gives ...
2.7/15·1.645 = 0.2961 ≈ 0.3
Answer:
x = 12
Step-by-step explanation:
Since the top line is equal to the bottom, you make the equation -
x + x + 4 = x + 16
You subtract an x on both sides because there is one on each side -
x + 4 = 16
Then you subtract the 4 from both sides to get x by its self, which makes
x = 12
