Let U represent the set of all people that frequently visit a certain restaurant, surveyed about which food they like best. Let
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Answer:
0.0259,0.0406
Step-by-step explanation:
Given that in a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost five years earlier, in February 2008, only 35% of a similar-size sample had reported being baseball fans.
a) p is the proportion of national adults who are baseball fans.
b) For 2012 poll, p=0.48
Std error =
Margin of error at 90% = 1.645 * std error
= 0.0259
c) Margin of error is the admissible limit on either side of the mean where the sample mean can lie
d) Margin of error would be larger for 99% because critical value 2.58 >1.645
e) Margin of error 99% =
Answer and Step-by-step explanation:
a.)x^2 and y^2 are always greater than zero.(assuming real x and y).
=>x^2<=x^2+y^2
=>|x|(x^2)<=|x|(x^2+y^2)
=>|x^3|<=|x|(x^2+y^2)
b. similarly, |y^3|<=|y|(x^2+y^2)
=>|f(x,y)|=|x^3+y^3|/(x^2+y^2)=|x|+|y|
c. let h is very small number (close to zero but positive)
lim (x,y)-> (0,0) f(x,y)=(x^3+y^3)/(x^2+y^2)
putting x=h and y=h and approaching h->0
lim h->0 f(h)=2h=0
There is another explanation attached below
