Thats either 7/5 or 1 2/5 but since theres a whole number i think its 1 2/5
1. 30.25
2. 81
3. Square Root of 2 plus 1, Negative Square Root of 2 plus 1.
4. Square Root of 57 minus 3, Negative Square root of 57 minus 3
5. Square Root of 53.25 minus 11, Negative Square root of 53.25 minus 11
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>.
Answer:
A box and whisker map is a diagram that shows details from a five-part description. It is also called a boxplot. There was an mistake. This form of diagram demonstrates the structure, core importance and volatility of the distribution.
Step-by-step explanation:
Hope this helps
