Step-by-step explanation:
do 590 divided by 90 if that doesn't work multiply it
Answer:
Percentage profit=40%
Step-by-step explanation:
Cost price=120 Naira
Sold price=168 Naira
Profit=Sold price- cost price
=168-120
=48 Naira
Percentage profit=profit/cost price×100
=48/120×100
=0.4×100
=40%
Percentage profit=40%
Answer:
Yes
Step-by-step explanation:
B is a subset of A because if A= {0,1,2,3,4} and B= {1,2} B is a part of A and B is a smaller version of A
Don't know if this helps but this is how I learned subsets.
Answer:
Only d) is false.
Step-by-step explanation:
Let
be the characteristic polynomial of B.
a) We use the rank-nullity theorem. First, note that 0 is an eigenvalue of algebraic multiplicity 1. The null space of B is equal to the eigenspace generated by 0. The dimension of this space is the geometric multiplicity of 0, which can't exceed the algebraic multiplicity. Then Nul(B)≤1. It can't happen that Nul(B)=0, because eigenspaces have positive dimension, therfore Nul(B)=1 and by the rank-nullity theorem, rank(B)=7-nul(B)=6 (B has size 7, see part e)
b) Remember that
. 0 is a root of p, so we have that
.
c) The matrix T must be a nxn matrix so that the product BTB is well defined. Therefore det(T) is defined and by part c) we have that det(BTB)=det(B)det(T)det(B)=0.
d) det(B)=0 by part c) so B is not invertible.
e) The degree of the characteristic polynomial p is equal to the size of the matrix B. Summing the multiplicities of each root, p has degree 7, therefore the size of B is n=7.
Answer:
11
Step-by-step explanation:
Given that in a sample of n=6, five individuals all have scores of X=10 and the sixth person has a score of x=16
i.e. the data entries are
10,10,10,10,10,16
Sum = 66
No of items n = 6
Average = sum/no of entries
=
Average is 11.
mean of this sample is 11