Problem 1: For a city at 42 deg N latitude, 93
deg W longitude, determine the...
Problem 1: For a city at 42 deg N latitude, 93
deg W longitude, determine the Local Civil Time (CT) for the sunset
on May 21 for central standard time.
Two sea ports are on the same parallel of latitude 42◦ 27 N.
Their difference in longitude is 137◦ 35 . Ship A and ship B sail
at 20 knots from one port to the other. Ship A sails along the
parallel of latitude; ship B sails the great circle route
connecting the two ports. Calculate the time difference in their
arrival times if they leave port together.
City A is located 40° N, 10° W. City B is located 40° N, 20° E.
Assume the Earth is a perfect sphere with a radius of 6371km.
Calculate the short distance between city A and city B along the
40° N parallel.
Calculate the shortest distance (on curved Earth surface)
between city A and the equator. π = 3.141
N= 72 stdev =8.333 Mean 42
Null hypo= 42
Alternative >42
Z-value 1.96
p-value 0.025
1,Describe whether or not you actually reject H0 with
details.
2, Description of what was actually decided in the context of
the original problem. such as, if the problem is about mean
airfares between two cities, simply saying reject Ho is not good
enough; describe what this decision means as it applies to mean
airfares.
3, Any statistical decision method is subject to Type I...
Determine if ~w = (−4, 6, 1) is a linear combination
of ~u = (1, 0, −1) and
~v = (1, −11, 3) . If so, then express ~w as a linear combination
of ~u and ~v .
Let ~u = (1, 1, −1) and ~v = (2, 1, 3). Determine if
~w = (7, 6, 3) is a linear
combination of ~u and ~v. If so, express ~w as a linear combination
of ~u and ~v.
Let
~x1 =...
Question 1
a) Determine whether the language {a n b m c n | n > 0} is regular or not using pumping Lemma.
b) Prove that the language
{(ai bn | i, n > 0, i = n or i = 2n} is not regular using the Pumping
Lemma.
Problem 1
1.1 If A is an n x n matrix, prove that if A has n linearly
independent eigenvalues, then AT is diagonalizable.
1.2 Diagonalize the matrix below with eigenvalues equal to -1
and 5.
0
1
1
2
1
2
3
3
2
1.3 Assume that A is 4 x 4 and has three different eigenvalues,
if one of the eigenspaces is dimension 1 while the other is
dimension 2, can A be undiagonalizable? Explain.
Answer for all...