The Law Of Syllogism, which is also called Reasoning by Transitivity, is basically if a = b and b = c, then a = c, which is also the transitive property. Hence the alternate name. It can be used for mathematical deductions and is mainly used in the unit of logic statements, such as conditional and inverse statements. Here is an example:
If it is raining today, then I will wear my raincoat.
If I wear my raincoat today, then I will wear my boots.
When we use the Law of Syllogism, we get:
If it is raining today, then I will wear my boots.
Hope this helps and have a nice day!
Now the width is w.
It's twice as long as wide, so now the length is 2w.
If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.
The are of the new rectangle is 100 cm^2.
area = length * width
area = (2w + 4)(w - 3)
The area of the new rectangle is 100, so we get
(2w + 4)((w - 3) = 100
2w^2 - 6w + 4w - 12 = 100
2w^2 - 2w - 112 = 0
w^2 - w - 56 = 0
(w - 8)(w + 7) = 0
w - 8 = 0 or w + 7 = 0
w = 8 or w = -7
A width cannot be negative, so discard w = -7.
w = 8
The width is 8 cm.
The length is twice the width, so the length is 16 cm.
Answer:
There is no relationship between your year in school and having a job.
Step-by-step explanation:
In this instance, the chi sq test need to be performed.
Chi sq is used to determine if there is a significant relationship between two categorical variables.
The two variables here are year in school and employment status.
The two variables are independent(no relationship exists)
This implies that there is null hypothesis
Therefore, the Null Hypothesis is
There is no relationship between your year in school and having a job.
In Cartesian coordinates, the region is given by
,
, and
. Converting to cylindrical coordinates, using
we get a Jacobian determinant of
, and the region is given in cylindrical coordinates by
,
, and
.
The volume is then
Answer:
A
Step-by-step explanation:
If you convert the first equation to y=mx+b form, it will be the same as the second equation.
6x - 15y = 15
-15y = -6x + 15
y = 
x -1
Because the 2 equations are the same now, they are the same line.
