Each person gets of whole pizza
<em><u>Solution:</u></em>
Given that Mia has of a pizza
She divides it equally among 4 people
<em><u>To find: Fraction of a whole pizza each person gets</u></em>
From statement,
of pizza is divided equally among 4 people
Therefore, to find the fraction of whole pizza each person gets, we can divide the by 4 people
Thus each person gets of whole pizza
Answer:
the P matrix you are looking for is P=(1/) · [[1 1 0 0],[1 -1 0 0],[0 0 1 1],[0 0 1 -1]]
Step-by-step explanation:
Answer:
For an orthogonal diagonalization of any matrix you have to:
1º) Find the matrix eigenvalues in a set order.
2º) Find the eigenvectors of each respective eigenvalues.
Tip: You can write the matrix A like A = D P
3º) D is the diagonal matrix with each eigenvalue (in order) in the diagonal.
4º) Write P as the normalized eigenvectors in order (in columns).
Tip 2: Remember, ·P = I, so if A =
D P, then:
P A = P
D P
= I D I = D
So the P we are looking for is the of the diagonalization.
Tip 3: In this case, A is a block matrix with null nondiagonal submatrixes, therefore its eigenvalues can be calculated by using the diagonal submatrixes. The problem is reduced to calculate the eigenvalues of A₁₁ = A ₂₂ = [[5 3],[3 5]]
Solving:
1º)the eigenvalues of A₁₁ are {8,2}, therefore the D matrix is
2º) the eigenvectors of A₁₁ are P₈= {[1 1]T} P₂= {[1 -1]T}, therefore normalizing the eigenvectors you obtain P = (1/) · [[1 1 0 0],[1 -1 0 0],[0 0 1 1],[0 0 1 -1]] (you can see that P =
in this case).
As said in "tip 2": P A = P
D P
= I D I = D
So the P obtained is the one you are looking for.
Answer:
The statistic for this system of hypothesis is given by:
If the statistic is equal to 1 then that means and we don't have enough evidence to conclude that the two population variances and deviations are different.
Step-by-step explanation:
System of hypothesis
We want to test if the variation for a group1 is equal to another one 2, so the system of hypothesis are:
H0:
H1:
Calculate the statistic
The statistic for this system of hypothesis is given by:
If the statistic is equal to 1 then that means and we don't have enough evidence to conclude that the two population variances and deviations are different.