Answer:



Step-by-step explanation:
The given probabilities are:


Their sum is 
The probabilities that will complete the model should add up to
so that the sum of all probabilities is 1.





To find the rate, we have to divide both numbers by 5. So the rate will be $1.592 for 1 pound.
Answer:
a=64° alternating angles
b=40° corresponding angles
A. False. Consider the identity matrix, which is diagonalizable (it's already diagonal) but all its eigenvalues are the same (1).
b. True. Suppose

is the matrix of the eigenvectors of

, and

is the diagonal matrix of the eigenvalues of

:


Then

In other words, the columns of

are

, which are identically

, and these are the columns of

.
c. False. A counterexample is the matrix

which is nonsingular, but it has only one eigenvalue.
d. False. Consider the matrix

with eigenvalue

and eigenvector

, where

. But the matrix can't be diagonalized.
Answer:
Step-by-step explanation:
Solve this by writing an equation of ratios:
1 a
----- = -----
√3 5
5
Then 5 = √3*a, or a = -----------
√3
5√3
Rationalize the denominator: a = ----------
3