There are 4 terms in the world of *Mathematical proof*
Lemma, Proposition, Corollary and Theorem.
There is no difference between a lemma,
proposition, theorem, or corollary - they are all claims waiting to be proved. However, we use these terms to suggest different levels of importance and difficulty. A lemma is an easily proved claim which is helpful for proving other propositions and theorems, but is usually not particularly interesting in
its own right. A proposition is a statement which is interesting in its own right, while a theorem is a more important statement than a proposition which says something definitive on the subject, and often takes more effort to prove than a proposition or lemma. A corollary is a quick consequence of a proposition or theorem that was proven recently
It is the same process because ratios and fractions are the same. For example, ratio 1 : 3 can be written in the form of fractions as 1/3. Ratio 1 : 4 is fraction 1/4, and so on. So, if you want to find equivalent ratios, you will use the same process as for finding equivalent fractions.
Answer:
The total number of samples that give this outcome is 5.
Step-by-step explanation:
Since Y takes values in {0,1,2,3}, For us to have that 
implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that 
. Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.
Answer:
32 dollars
Step-by-step explanation:
Answer:
2 1/2 hours
Step-by-step explanation:
1. multiply 12 by 2 to get 24
2. divide 12 by 2 to get 6 mph (miles per hour)
3. Add the 6 and 24
