Question

Draw the subgroup diagram for Z175, and determine whether <35> is a subset, a superset or equal to <55>.

Answer #1

In

So ,

In

So ,

Hence , is a subset of .

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.

.

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If you have any doubt or need more clarification at any step please comment .

What is a subset of pentagon D5 that is a subgroup?
Why?, then give an example of a cyclic subgroup of pentagon
D5

Draw the molecular orbital diagram shown to determine which of
the following is most stable. Draw the molecular orbital diagram
shown to determine which of the following is most stable.
F22+
F2
Ne22+
O22+
F22-

In each of the following, prove that the specified subset H is
not a subgroup of the given group G: (a) G = (Z, +), H is the set
of positive and negative odd integers, along with 0. (b) G = (R,
+), H is the set of real numbers whose square is a rational number.
(c) G = (Dn, ◦), H is the set of all reflections in G.

In each of the following, prove that the specified subset H is a
subgroup of the given group G. Note: in each case, you may assume
that the given operation is associative. (a) G = (C ∗ , ·), H is
the set of complex numbers of norm 1; i.e., the unit circle in the
complex plane. (b) G = (Q, +), for fixed n, H is the set of
rational numbers whose denominators divide n. (c) G = (Dn,...

In each part below, a group G and a subgroup H are given.
Determine whether H is normal in G. If it is, list the elements of
the quotient group G/H. (a) G = Z-15 × Z-20 and H = <(10,
17)> (b) G = S-6 and H = A-6 (c) G = S-5 and H = A-4

Determine if the indicated subgroup H is a normal subgroup of
G.
(a) Let G = Z and H = 6Z.
(b) Let G = A4 and H =
{id,(12)(34),(13)(24),(14)(23)}.

A doctor wanted to determine whether there was a relation
between age and HDL cholesterol. He randomly selected 5 patients
and obtained the following data. Age HDL Cholesterol 44 28 27 45 30
53 49 55 38 57 (a) Draw a scatter diagram. (b) Compute the linear
correlation coefficient. (c) Comment of the type of relation that
appears to exist.

For the accompanying data set, (a) draw a scatter diagram of
the data, (b) compute the correlation coefficient, and (c)
determine whether there is a linear relation between x and y.
x
2
6
1
7
9
y
8
7
6
9
5

Use
an Euler diagram to determine whether the syllogism is valid or
invalid.
No lawn weeds are trees
Speedwell is not a tree
Speedwell is a lawn weed

A data set is given below.
(a) Draw a scatter diagram. Comment on the type of relation
that appears to exist between x and y.
(b) Given that x=3.6667, sx=2.3381, y=4.38334,
sy=1.58921, and r= - 0.9330, determine the least-squares
regression line.
(c) Graph the least-squares regression line on the scatter
diagram drawn in part (a).
x
11
11
33
55
66
66
y
5.25.2
6.56.5
5.65.6
3.43.4
2.72.7
2.92.9
There appears to be a ___________relationship.
b). y^=____x+(__)
c. choose graph

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