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:
0.336
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Here, n = 8, r = 7, p = 0.8, and q = 0.2.
P = ₈C₇ (0.8)⁷ (0.2)⁸⁻⁷
P = 0.336
There's a bunch of them like if you simplify you could get 3/4.I'll give you some more.
Examples:14/16 21/24 28/32 and 35/40.
My brain was getting tired to think...but there's more.
Hope this helps :D
M(x, y) = ((x1 + x2)/2, (y1 + y2)/2) = ((-2 + 4)/2, (5 - 9)/2) = (2/2, -4/2) = (1, -2)
Step-by-step explanation:
Hey there!
The equation is; y= -3x
or, 3x+y = 0.......... (I)
From equation (I)


Therefore, m= -3
Now, As per the condition of perpendicular lines;
M1*M2 = -1
-3*M2 = -1
M2= -1/-3
Therefore, the slope of a line which is perpendicular to the equation is; 1/3.
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>