Answer:
6.96%
Step-by-step explanation:
Assuming that the total number of races who did not finish the race are the ones who gave up and were disqualified:
(14+4)/230 = 0.06957
convert to percentage 0.06956*100= 6.957%
Since we have a negative on the outside of the parenthesis, we can just say that this is -1. So now we have -1(-x + 1). when multiply a negative by a negative it cancels out into a positive. and multiplying a negative with a positive will give you a negative. So now we have x - 1.
Answer:
we are given
part-A:
Since, x is number of tablets
C(x) is cost of producing x tablets
so, vertical box is C(x)
so, we write in vertical box is "cost of producing x tablets"
Horizontal box is x
so, we write in horizontal box is "number of tablets"
part-B:
we have to find average on [a,b]
we can use formula
we are given point as
a: (15 , 395)
a=15 and C(15)=395
b: (20, 480)
b=20 , C(20)=480
now, we can plug values
...........Answer
part-c:
we have to find average on [b,c]
we can use formula
we are given point as
b: (20, 480)
b=20 , C(20)=480
c:(25,575)
c=25 , C(c)=575
now, we can plug values
Answer:
The rate of change is of 2.25 degrees per hour.
Step-by-step explanation:
The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).
In this question:
From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours
The change in temperature was of 76 - 58 = 18º
Rate of change:
18º/8 = 2.25º
The rate of change is of 2.25 degrees per hour.
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.