What modern celebrity could be compared to Achilles of The Iliad?

As I read your question, I started thinking about people
the world thinks of as "having it all" but who somehow "blew it" because of one fatal
weakness. You use the word "celebrity," so I assume this needs to be someone
recognizable as well as someone who is somehow seen as a hero.  Two men came quickly to
mind:  President Bill Clinton and Tiger Woods.

President
Clinton was arguably the most powerful man in the world when he was in office.  He had a
powerful and supportive wife, a loving daughter, and he was in the enviable position of 
being able to call any ruler of any country in the world and at least be heard.  He had
everything, including the love of the majority of the American people.  And then came
the Monica Lewinsky scandal and his eventual impeachment and censure.  What a low moment
for such a powerful man; he succumbed to his one failing--women. Clinton, of course,
recovered from this personal failing (actually many failings, since this was just the
most public incident of many) and is still beloved and sought-after by people all over
the world.

The second celebrity who had a similar failing,
though it looks different, is Tiger Woods. Arguably the best golfer who ever lived,
Tiger just seemed to have it all: money, fame, athletic ability, a lovely wife and kids,
you name it.  Then it all blew up.  His numerous extra-marital affairs became public and
he lost it all, including many of his fans and nearly all of his sponsors--and even his
stunning ability to play the game at a level no one ever has.  His inability to be
faithful to one woman was his achilles heel, and it remains to be seen whether he, like
Clinton, will recover.

Cutoffs:Find the corresponding Z score(s). Round answer to 2 decimal places! Cutoff for the bottom 37%.

To find the cut off 37% from the bottom of z
scores.

The z scores are the standard normal variates with
a normal distribution.

So  we have  probabilty of z is
<= x   such that this probability is 37%.

Therefore
P(z < = x) = 37%.

We know that Z has the standard
normal distribution. So P(z<=0) = 0.5.

Therefore 
p(z > -x) = 0.37 = , as normal distribution is sy
mmetrical.

Therefore P(0 <= z< - x) =
0.5+(0.5-37) = 1-.37 = 0.63.

From normal probablity tables
,  -x = 0.332. Or x = -0.332.

Therefore , the below cut
off  37% of the z scores is at z = -0.332 , or  at z = -0.33 (rounded of to 2
decimals ).

What do you think this quote means or what can I say about it?I'm using the quote below for an essay about how tree's grow and change through...

Interesting Muir quote and even more unique being able to tie it
to Anderson's work.  I think you would want to focus on the second part of the quote.  The idea
that individuals must understand that while nature can be cruel, it is second only to the cruelty
that human beings perpetrate upon one another is profound.  There is something that "speaks"
towards what Anderson might be driving in such an element.  Keeping this in mind, the first part
of the quote deals with the idea of nurturing and protecting growth.  With both of these notions
in hand, I think that you can focus on how Melinda has grown throughout the course of the novel
as a part of this.  In the end, the cruelty that her colleagues and many others in her world show
towards her would have destroyed the growth of other people.  Yet, her own notion of being able
to "speak" is what ends up insulating her from the foolishness of others.  When we consider what
the Art teacher said about, "You have a lot to say," we realize that Muir's quote is especially
profound.  There is no absolute guarantee that voices will always be heard.  Rather, individuals
have to fight to be heard, they must rise above the foolishness of which Muir speaks.  Melinda
understands this and it is through her embrace of this that she is able to "speak" and be
heard.

In Ethan Frome what reason does Ethan give for not driving Zeena to the station?

Ethan, who is not very practiced at lying or deceiving
people, doesn't want to take his wife to the station, because he wants to be at home
where he can spend more time with Mattie during her absence.  Taking her down to the
station would ruin the chance he would have to spend at least one evening alone with
Mattie; if Jotham takes Zeena, that would leave Ethan the freedom to have time with her,
and no servant around to bother them.  So, he conjures up some story about how he has to
go into town and get money for the lumber.  Originally, Jotham was going to take the
lumber into town, but Ethan says that he wants to do it in order to get paid for
it.

Unfortunately, he is not going to get paid for the
lumber at all, and he knows that telling Zeena he will be will give her hope
that

"he was
in funds on the eve of one of her therapeutic
excursions."

This would
encourage her to buy expensive remedies that in reality, they couldn't afford.  But, his
desire to spend time alone with Mattie and to avoid Zeena overwhelms that caution, and
he sticks to the lie.  I hope that those thoughts helped; good
luck!

What is a complication of Little Women?

Remember, in literature,
complications are the difficulties encountered by
characters which form the action of the plot.  Little Women is a
long enough novel that it involves several different conflicts and complications.
 Looking at the themes of the novel might help you identify different parts of the plot
that would be considered complications.

One of the major
themes of the book is that of gender roles and the fact that the book focuses on four
women as the protagonists during a social and historical time when women were not
considered equal to men in things like money, land ownership, business, and education.
 A complication these girls repeatedly run into (especially Jo) is the struggle to find
a voice and an identity in a male-dominated
society.

Another theme of the book is wealth versus
poverty.  Though the March girls are happy, healthy, and seemingly well taken care of,
they are not wealthy.  They are not so poor that they cannot give to others, but they
are by no means as rich as the Laurences.  This class dynamic results in several
complications in the novel.  First, it becomes a complication when Laurie falls in love
with Jo and later Amy.  Wealth also creates a complication among the sisters as they
discover the differences in what they want in life and compare themselves to
others.

Other specific details of the story that could be
considered complications are Beth's death and Jo's decision not accept Laurie's
proposal.

What is the role and significance of Mistress Hibbins?Nathanel Hawthorne's The Scarlet Letter

Mistress Hibbins, the sister of the governor of the Puritan
colony, calls to Hester Prynne in Chapter VIII as she leaves the mansion of the
governor,

"Wilt thou go
with us tonight?  There will be a merry company in the forest; and I well-nigh promised the Black
Man that comely Hester Prynne should make
one."

Mistress Hibbins, with her
"ill-omened physiognomy" who appears to cast a shadow upon the governor's house, is, ironically,
a witch.  With the leader of the Puritan colony having a witch for a sister, Hawthorne's scorn
for the hypocrisy of the Puritans is clearly apparent.  In addition, that Hester refuses to
accompany Mistress Hibbins because she "must keep watch over my little Pearl" or otherwise, she
says, she would go and sign her name in the Black Man's book--"and that with own blood!"--is
testimony to the validity of her plea that she be allowed to keep Pearl so she will live, and
live righteously.  Further, Hester's interview with Mistress Hibbins illustrates how dependent
Hester has become on the child of her illicit love affair now that she has been ostracized from
society.

Later in the novel, Mistress Hibbins appears at unexpected
moments; each time that she does enter the scene, however, either Hester or Arthur Dimmesdale
suffer from remorse.  Thus it would seem that the witch serves as a reminder to Hester and the
minister of their sin and of the darkness hidden in Puritanism.

In Act 3 of Hamlet, what developments have taken place in th revenge plot and romantic plot?this question is from hamlet by shakespeare...from act...

By the end of Act 3 things have changed quite a bit for Hamlet. 
On the "revenge" front, now has the proof he so desparately wants against Claudius.  During the
"play within a play" Claudius is disturbed enough to get up and leave, and Hamlet takes this an
admission of guilt.  Now Hamlet is free to go forward an exact his revenge for the death of his
father.  Unfortunately, Hamlet's first opportunity for revenge is a moment when Claudius appears
to be in prayer and Hamlet doesn't think this is a perfect moment, so I lets the chance go
by.

On the "romantic" front, his love life is in a shambles.  He has
had a terrible confrontation with Ophelia where she returns presents he has given her and he then
declares he never loved her.  He goes on to tell her to get herself to a nunnery and stay away
from the sinful nature of men.  He insults the behavior of women and, in general, is acting
crazy.  Ophelia is convinced that Hamlet has lost his sanity as evidenced by the way he is
speaking to her.  The scene is actually part of Hamlet's crazy act and brought on by overall
frustration with his mother's marriage and Ophelia's dishonesty about her father spying on them
at that that very moment.