Answer:
The null and alternative hypothesis are:

There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
Step-by-step explanation:
Consider the provided information.
The claim that the mean tornado length is greater than 2.6 miles.
If there is no statistical significance in the test then it is know as the null which is denoted by
, otherwise it is known as alternative hypothesis which denoted by
.
Therefore, the required null and alternative hypothesis are:

significance level α =0.05
From the given table the test statistic T=2.230166
P-value is 0.0131
0.0131<0.05
P value is less than the significance level, so reject the null hypothesis.
There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
Answer:
(-1.92, 1.08)
Step-by-step explanation:
The <em>incenter</em> is the center of the largest circle that can be inscribed in the triangle. That circle is called the <em>incircle</em>. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the <em>inradius</em> (the radius of the incircle), is found from a simple formula:
r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs
In your triangle, the inradius is ...
r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452
Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...
incenter ≈ (-1.92, 1.08)
Answer:
D
Step-by-step explanation:
This isnt a cartisean coordinate plane so A is wrong. One of our points is at

Because it coincide with real number 3, and negative imaginary number i.
Conjugates are terms with opposite inverse of terms.
So our conjugates is

Answer:
-17x-1
Step-by-step explanation: