I think the answer is A) stratified random sampling! Stratified random sampling is when sunsets of individuals are created based on similar criteria, which sounds the closest to the problem because stratified can split a group and does not have to be fully equal.
Non random sampling doesn’t fit because it’s clearly stated that it’s random.
Systematic random sampling is based on intervals in a group.
The next closest answer would be simple random, which is when a subset of individuals are chosen from a larger group with all having the same probability.
Answer:
isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.
Step-by-step explanation:
Let
denote a set of elements.
would denote the set of all ordered pairs of elements of
.
For example, with
,
and
are both members of
. However,
because the pairs are ordered.
A relation
on
is a subset of
. For any two elements
,
if and only if the ordered pair
is in
.
A relation
on set
is an equivalence relation if it satisfies the following:
- Reflexivity: for any
, the relation
needs to ensure that
(that is:
.)
- Symmetry: for any
,
if and only if
. In other words, either both
and
are in
, or neither is in
.
- Transitivity: for any
, if
and
, then
. In other words, if
and
are both in
, then
also needs to be in
.
The relation
(on
) in this question is indeed reflexive.
,
, and
(one pair for each element of
) are all elements of
.
isn't symmetric.
but
(the pairs in
are all ordered.) In other words,
isn't equivalent to
under
even though
.
Neither is
transitive.
and
. However,
. In other words, under relation
,
and
does not imply
.
Answer:
3x^2 + 9x + 1
Or
3x ( x + 3 ) + 1
Step-by-step explanation:
(5x - 2 +3x^2 ) + (4x + 3 )
To make this a little bit more easier to read, you can remove the parentheses:
5x - 2 + 3x^2 + 4x + 3
Now, write in a way so that the like terms are next to each other:
3x^2 + 5x + 4x - 2 + 3
Now simplify the 'x' terms to get:
3x^2 + 9x - 2 + 3
Now, simplify the integers (the ones with now variables with them) to get:
3x^2 + 9x + 1
If you want, you can factor out the 3x for two of the terms to get :
3x ( x + 3 ) + 1
Therefore, your simplest form can either be 3x^2 + 9x + 1 OR 3x (x + 3 ) + 1
Answer:
yes thats good
Step-by-step explanation: