Answer:
,
,
,
,
, 
Step-by-step explanation:
,
,
,
,
, 
Order everything, negative to the left side and positive to the right side
<u><em>Negative numbers:</em></u>
,
, 
<u><em>Positive numbers:</em></u>
,
, 
<em><u>Now order it on a number line:</u></em>
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,
,
,
, 
Answer:
3.47 and 3.21
Step-by-step explanation:
Let us assume the nails length be X

Value let separated the top 3% is T and for bottom it would be B

Now converting, we get

Based on the normal standard tables, we get

Now compare these two above equations

So for top 3% it is 3.47
Now for bottom we applied the same method as shown above

Based on the normal standard tables, we get

Now compare these two above equations


hence, for bottom it would be 3.21
A bar graph would be a better choice because it is able to show how often he/she has gotten a good score.
Answer:
add 8x to both sides
Step-by-step explanation:
5-8x<2x+3
first step, subtract 3 from both sides:
2-8x<2x
second step,?
2<?x
so you need to add 8x first
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.