First find out what 5% of 900 is.
0.05 * 900 = 45
Now subtract this from 900.
900 - 45 = 855
So £900 decreased by 5% is £855.
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:
because as the number gets smaller the decimal moves more to the left
Step-by-step explanation:
If the number was to get bigger the decimal would go to the right
Answer:
Margin of error = Critical value x Standard error of the sample.
Step-by-step explanation:
The margin of error can be calculated in two ways, depending on whether you have parameters from a population or statistics from a sample: Margin of error = Critical value x Standard deviation for the population. Margin of error = Critical value x Standard error of the sample.
Have in mind that as you cannot take the square root of a negative number, this means that x-4 CANNOT be negative. So it's either 0 or it's positive.
So we proceed like this:<span>x−4≥0</span>
<span>x−4+4≥0+4</span>
<span>x≥4
</span>So the domain is <span>{<span>x|x≥4</span>}
</span>In interval notation, the domain is <span><span>[4,∞)
I hope thi can help you</span></span>