I think it’s 1/2. i’m not sure though sorry
keeping in mind that vertical angles are always congruent.
Slope intercept form is y=mx+b
first plug in m
y=-1/2X + b
now plug in the point (8,1) for the x and the y
1=-1/2(8) + b
now you need to solve for b
simplify
1=-4+ b
add 4
5=b
now that you know b
you can plug it into the equation along with the m
so the answer is
y=-1/2X + 5
3.06 rounded to the nearest hundreth
Answer:
χ²R = 8.643
χ²L = 42.796
0.20 < σ < 0.45
Step-by-step explanation:
Given :
Sample size, n = 23
The degree of freedom, df = n - 1 = 23 - 1 = 22
At α - level = 99%
For χ²R ; 1 - (1 - 0.99)/2= 0.995 ; df = 22 ; χ²R = 8.643
For χ²L ; (1 - 0.99)/2 = 0.005 ; df = 22 ; χ²L = 42.796
The confidence interval of σ ;
s * √[(n-1)/χ²L] < σ < s * √[(n-1)/χ²R)]
0.28 * √(22/42.796) < σ < 0.28 * √(22/8.643)
0.2008 < σ < 0.4467
0.20 < σ < 0.45
