The amount of a chemical solution is measured to be 2 liters. What is the percent error of the measurement?
2 answers:
The complete question in the attached figure
we know that
2 liters may be 1.5 to 1.9 rounded up to 2
or 2.1 to 2.4 rounded down to 2
the biggest percent error would be between 2 and 1.5, which is a volume error of 0.5 liters
2 - 1.5 = 0.5 liters
percent error = (absolute error / quantity) * 100
percent error = [0.5/2] * 100% = 0.25 * 100% = 25%
the answer is the option C) 25%
we know that
2 liters may be 1.5 to 1.9 rounded up to 2
or 2.1 to 2.4 rounded down to 2
the biggest percent error would be between 2 and 1.5, which is a volume error of 0.5 liters
2 - 1.5 = 0.5 liters
percent error = (absolute error / quantity) * 100
percent error = [0.5/2] * 100% = 0.25 * 100% = 25%
the answer is the option C) 25%
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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
.
- Transitivity: for any
, if
, then
. In other words, if
are both in
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
.