The answer is B 36 because the chance of you grabbing a white or black is 12/15 meaning if you pulled 15 marbles, most likely 12 of them are white or black. so, because 15 goes into 45 3 times, you multiply 12/15 by 3 getting 36/ 45 meaning you will mostly pull 26 black or white marbles.
Ik that 9 is one of em
Hope this helps have a nice nite
The answer is B
I subtracted the 2 fractions.
Answer:
(10,2)(20,4)(30,6)(40,8)
Step-by-step explanation:
In each bracket the first digit divided by the second is equal to 5
10÷2=5
20÷4=5
30÷6=5
40÷8=5
Answer:
Recall that a relation is an <em>equivalence relation</em> if and only if is symmetric, reflexive and transitive. In order to simplify the notation we will use A↔B when A is in relation with B.
<em>Reflexive: </em>We need to prove that A↔A. Let us write J for the identity matrix and recall that J is invertible. Notice that 
. Thus, A↔A.
<em>Symmetric</em>: We need to prove that A↔B implies B↔A. As A↔B there exists an invertible matrix P such that 
. In this equality we can perform a right multiplication by 
and obtain 
. Then, in the obtained equality we perform a left multiplication by P and get 
. If we write 
and 
we have 
. Thus, B↔A.
<em>Transitive</em>: We need to prove that A↔B and B↔C implies A↔C. From the fact A↔B we have and from B↔C we have 
. Now, if we substitute the last equality into the first one we get
.
Recall that if P and Q are invertible, then QP is invertible and 
. So, if we denote R=QP we obtained that
. Hence, A↔C.
Therefore, the relation is an <em>equivalence relation</em>.
