Answer:
DF = 458
Step-by-step explanation:
In statistics, T-test have an extensive application. T-tests are used in hypothesis testing or inference about the population mean when the population standard deviation is not known. Nevertheless, they are used in making inference in paired samples or dependent samples t-test as well as independent samples.
The degrees of freedom, DF, is a characteristic of the student's t distribution which is used in T-tests. In a simple T-test;
DF = n - 1
where n is the sample size
Given n is 459, DF = 459 - 1 = 458
Therefore, DF = 458
The standard form:

The point-slope form:

m - slope
The formula of a slope:

We have the points (6, 1) and (5, 4). Substitute:

<em>use distributive property</em>
<em>add 1 to both sides</em>
<em>add 3x to both sides</em>

Answer:
The number is 12.
Step-by-step explanation:
Given: 
We need to find a number multiply to each term to get rid of fraction.
We will find LCD of denominator.
First we see the numbers at denominator
Denominators are 4,3,2
Now, we will find the LCD of 2,3, and 4
Factor of 2: 2x1
Factor of 3: 3x1
Factor of 4: 2x2x1
LCD = 2x2x3 = 12
If we multiply by 12 to each term to eliminate the fraction.
Simplest equation:


Hence, The number is 12.
Answer:
C. Perpendicular Lines
D. Intersecting Lines
Step-by-step explanation:
Intersecting lines are a pair of lines, line segments or rays are intersecting if they have a common point.
Perpendicular lines are a point where two city roads intersect.
Hope this helps. I am sorry if you get it wrong.