For this problem, the confidence interval is the one we are looking
for. Since the confidence level is not given, we assume that it is 95%.
The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n
Where:
<span>
</span>
α= 5%
α/2
= 2.5%
t
0.025, 19 = 2.093 (check t table)
n
= 20
df
= n – 1 = 20 – 1 = 19
So plugging in our values:
8.41 ± 2.093 * 0.77 √ 1 + 1/20
= 8.41 ± 2.093 * 0.77 (1.0247)
= 8.41 ± 2.093 * 0.789019
= 8.41 ± 1.65141676
<span>= 6.7586 < x < 10.0614</span>
The derivative of (x+1)^2, for this you use the chain rule, to get 2x+2.
2|x-3|+1=7
2|x-3|=6
|x-3|=3
x-3 = 3 or x-3 = -3
x=0 or 6
Answer:
Vertex - (2, -1)
Axis of Symmetry - x = 2
X intercept - (3,0) (1, 0)
Y intercept (0, 3)
Domain - (negative infinity, positive infinity)
Range - [-1, infinity)
Step-by-step explanation:
I graphed with desmos and found it.
