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Refer again to the regression analysis for average attendance and games won by American League baseball teams in exercise 44. Write the equation of the regression line.
in 1980, George Adrian set the world record for the most apples picked In 8 hours. He picked a total of 15,830 pounds of apples. That's almost 8 tons of apples! Delilah is practicing so that she can try to beat George's record. After picking for awhile she finds that she has picked 2 tons of apples. She hopes to pick 2 tons per hour for the next several hours.
if Delilah manages to pick at a rate of 2 tons per hour how many tons of apples will Delilah have picked 1 hour after she starts picking again?
if Delilah manages to pick at a rate of 2 tons per hour how many tons of apples will Delilah have picked 1 hour after she starts picking again?
if Delilah manages to pick at a rate of 2 tons per hour, how many tons of apple will Delilah have picked 1 hour after she starts picking again?
f (t) = 33,600 – 1500t describes its altitude t minutes after starting its descent. What is the airplane's altitude after 10 minutes?
3.
a) Let G be a finite group. Show that the number of elements g of G such that g^3 = e is
odd, where e is the identity of G.
1 a b
b) Check if { [ 0 1 c ] | a,b,c belongs to R} is an abelian group w.r.t matrix multiplication.
0 0 1
c) Check whether H={x belongs to R* | x=1or x is irrational} * R and K={x belongs to R* | x>=1} are subgroups of (R*,.).
d) Let U(n)={m belongs to N|(m,n)=1,m<=n} Then U(n) is a group with respect to
multiplication modulo n. Find the orders of <m> for each m belongs to U(10).
e) Find Z(D2n), where D2n is the dihedral group with 2n elements, [D subscript 2n]
i) when n is an odd integer;
ii) when n is an even integer.
a) Let G be a finite group. Show that the number of elements g of G such that g^3 = e is
odd, where e is the identity of G.
1 a b
b) Check if { [ 0 1 c ] | a,b,c belongs to R} is an abelian group w.r.t matrix multiplication.
0 0 1
c) Check whether H={x belongs to R* | x=1or x is irrational} * R and K={x belongs to R* | x>=1} are subgroups of (R*,.).
d) Let U(n)={m belongs to N|(m,n)=1,m<=n} Then U(n) is a group with respect to
multiplication modulo n. Find the orders of <m> for each m belongs to U(10).
e) Find Z(D2n), where D2n is the dihedral group with 2n elements, [D subscript 2n]
i) when n is an odd integer;
ii) when n is an even integer.
which of the following could be an example of a function with a domain ( - infinity, infinity) and a range (- infinity, 4)
Math
If I have two apples and I eat 1 apple. How many purple space aliens exist with our universe?
2)
a) Prove that 2^n > 4.n for n>=5.
b) Give an example, with justification, of a function with domain Z\{2,3} and co-domain
N. Is this function 1 – 1? Is it onto? Give reasons for your answers.
c) Give a set of cardinality 5 which is a subset of Z\N .
d) Check whether the relation R ={(x, y)belongs to N×N| xy is the square of an integer} is
an equivalence relation on N .
a) Prove that 2^n > 4.n for n>=5.
b) Give an example, with justification, of a function with domain Z\{2,3} and co-domain
N. Is this function 1 – 1? Is it onto? Give reasons for your answers.
c) Give a set of cardinality 5 which is a subset of Z\N .
d) Check whether the relation R ={(x, y)belongs to N×N| xy is the square of an integer} is
an equivalence relation on N .
Write the set M = {1/3, 1/2, 3/5, 2/3, 5/7 ........} In the set builder form.
A panel is conducting an interview on six candidates of different heights. If they are to put them in line, in how many ways can they arrange them in line such that no three consecutive candidates are in increasing order of height from front to back?
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#339914 on Dec 2023
#339914 on Dec 2023