Answer:
<em><u>The answer is</u></em>: <u>59%</u>.
Step-by-step explanation:
To calculate the percentage of people who have seen the movie we start from: y = -0.414x + 106.55; and of x = 115; making the appropriate substitutions we would have left: y = -0.414 (115) + 106.55; y = -47.61 + 106.55; y = 58.94, which rounded to exceed 0.5 would be 59%.
<em><u>The answer is</u></em>: <u>59%</u>.
It's A.
5+6= 11 x^5
2+1= 3 x
-1+8=8-1= 7
Answer:
109
Step-by-step explanation:
You can brute-force this:
Candidate numbers that are divisable by 13 if you take away 5: 18
, 31
, 44
, 57
, 70
, 83
, 96
, <u>109
</u>, 122
, 135
, 148
Candidate numbers that are divisable by 14 if you take away 11: 25
, 39
, 53
, 67
, 81
, 95
, <u>109
</u>, 123
, 137
Only 109 is in both lists.
Answer:
Step-by-step explanation:
It is a result that a matrix 
is orthogonally diagonalizable if and only if is a symmetric matrix. According with the data you provided the matrix should be
We know that its eigenvalues are 
, where 
has multiplicity two.
So if we calculate the corresponding eigenspaces for each eigenvalue we have
,
.
With this in mind we can form the matrices 
that diagonalizes the matrix so.
and
Observe that the rows of 
are the eigenvectors corresponding to the eigen values.
Now you only need to normalize each row of dividing by its norm, as a row vector.
The matrix you have to obtain is the matrix shown below
