Answer:
I need the options mate to chose which is correct
Step-by-step explanation:
First, you find how many total feet Rick can afford. To do this, you do 2000/20 which equals 100. Then, you write your inequality. 100 is less than or equal to 2x+6. Next, you solve your inequality. You subtract 6 on both sides to get 94 equals 2x. To solve this, you divide by 2 on both sides. In this scenario, x stands for the width.
Answer:
Less than 100. Z=83
Step-by-step explanation:
The mean is the average found by adding the sum of the data points and dividing by the number of them. Here there are 3 cars whose speeds are 101, 116, and Z or unknown. The mean of them is 100. Solve for Z.
100 =(101+116+Z)/3
300=217+Z
83=Z
Answer:
Yes, double cosets partition G.
Step-by-step explanation:
We are going to define a <em>relation</em> over the elements of G.
Let
. We say that
if, and only if,
, or, equivalently, if
, for some
.
This defines an <em>equivalence relation over </em><em>G</em>, that is, this relation is <em>reflexive, symmetric and transitive:</em>
- Reflexivity: (
for all
.) Note that we can write
, where
is the <em>identity element</em>, so
and then
. Therefore,
. - Symmetry: (If
then
.) If
then
for some
and
. Multiplying by the inverses of h and k we get that
and is known that
and
. This means that
or, equivalently,
.
- Transitivity: (If
and
, then
.) If
and
, then there exists
and
such that
and
. Then,
where
and
. Consequently,
.
Now that we prove that the relation "
" is an equivalence over G, we use the fact that the <em>different equivalence classes partition </em><em>G.</em><em> </em>Since the equivalence classes are defined by
, then we're done.