We know that
<span>(16x6 − 12x4 + 4x2) / 4x2
is equal to
[16x6/4x2]+[-12x4/4x2]+[4x2/4x2]
=[4x4]+[-3x2]+[1]
=4x4-3x2+1
the answer is
</span>4x4-3x2+1<span>
</span>
We can actually make two equations here, slope-intercept form and point slope form. Firstly, we need to find the slope. We do that by finding the difference of the y coordinates, and then dividing that by the difference of the x coordinates. 3-(-4)/1-0 is 7. Our slope is 7, slope is m.
Point slope form is y - y1 = m(x - x1). We only need to worry about y1 and x1. Let’s plug our x and y values in. y - (-4) = 7(x - 0). Next, we should simplify this. y + 4 = 7x. Next, we need to isolate y. We do this by subtracting four from both sides. y = 7x - 4
Our point slope form equation is y - (-4) = 7(x-0), and our slope-intercept form is y = 7x - 4. Keep in mind that 7 is our slope, or m, and -4 is our y-intercept.
Answer: = ( 0.411, 0.409)
Therefore at 95% confidence interval (a,b) = (0.411, 0.409)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean gain x = 0.41
Standard deviation r = 0.016
Number of samples n = 1000
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
0.41+/-1.96(0.016/√1000)
0.41+/-1.96(0.000506)
0.41+/-0.00099
0.41+/-0.001
= ( 0.411, 0.409)
Therefore at 95% confidence interval (a,b) = (0.411, 0.409)
