Answer;
The equation of the line is
3y = 4x + 4
Explanation;
Mathematically we can write the equation of a straight line in the form
y = mx + c
where m is the slope
Since the old line would parallel to the new line, then they have the same slope
This means that the slope of the new line will be 4/3
Now, we had yet slope and a point, we need to write the equation of the line
mathematically;
y- y1 = m(x - x1)
In this case m = 4/3, (x1,y1) = (5,-8)
Thus;
y+ 8 = 4/3(x-5)
y+ 8 = 4/3x -20/3
y = 4/3x -20/3 + 8
Multiply through by 3
3y = 4x -20 + 24
3y = 4x + 4
Answer: 2(x^2-7)
Step-by-step explanation:
Using the Empirical Rule, it is found that 68% of the data should be between 25.5 and 30.5.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Within one standard deviation of the mean, hence, 68% of the data should be between 25.5 and 30.5.
More can be learned about the Empirical Rule at brainly.com/question/24537145
Answer: A) x2+y2+16x-8y+73=0
Step-by-step explanation:
I got it right on edge.