Answer: Transitive Postulate of Inequality (last option)
Explanation:
Let's say we have a vacation where we go from City A, to City B, then to City C. We can use the notation 
. If all we cared about was the first and last cities, then we basically say 
taking a shortcut so to speak.
This analogy is useful to describe the transitive property.
The equality version is where if we had a = b and b = c, then a = c.
The inequality version is where if we had a < b and b < c, then a < c. In this case, c = 2.
In a sense, its like linking together metal chains. A leads to B which leads to C. So we can just jump from A to C.
It might help to draw out a number line and pick values for a and b like a = 0 and b = 1. That way you can see how a < b, b < c and a < c all tie together.
Answer:
x=9
Step-by-step explanation:
I took one side, and made proportions:
12:16
3:4
so, x-1:6=3:4
(x-1)/6=3/4
solve it for x=9
Answer:
Step-by-step explanation:
Data given and notation
represent the sampe size for A
represent the sample size for B
represent the sample deviation for A
represent the sample deviation for B
represent the significance level provided
F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:
Solution to the problem
System of hypothesis
We want to test if we have the same variation, so the system of hypothesis are:
H0: 
H1: 
Calculate the statistic
Now we can calculate the statistic like this:
