Question
In: Advanced Math
4) Let ? = {2, 3, 5, 7}, ? = {3, 5, 7}, ? = {1,...
4) Let ? = {2, 3, 5, 7}, ? = {3, 5, 7}, ? = {1, 7}. Answer the following questions, giving reasons for your answers.
a) Is ? ⊆ ??
b)Is ? ⊆ ??
c) Is ? ⊂ ??
d) Is ? ⊆ ??
e) Is ? ⊆ ??
5) Let ? = {1, 3, 4} and ? = {2, 3, 6}. Use set-roster notation to write each of the following sets, and indicate the number of elements in each set.
a) ? × ?
b) ? × ?
c) ? × ?
d) ? × ?
Solutions
Colby Messinger answered 1 year agoRelated Solutions
6. Let A = {1, 2, 3, 4} and B = {5, 6, 7}. Let f...
6. Let A = {1, 2, 3, 4} and B = {5, 6, 7}. Let f = {(1, 5),(2,
5),(3, 6),(x, y)} where x ∈ A and y ∈ B are to be determined by
you. (a) In how many ways can you pick x ∈ A and y ∈ B such that f
is not a function? (b) In how many ways can you pick x ∈ A and y ∈
B such that f : A → B...
Let S = {1, 2, 3, 4, 5, 6, 7} be a sample of an experiment...
Let S = {1, 2, 3, 4, 5, 6, 7} be a sample of an experiment and
let X = {1, 4, 7}, Y = {2, 3, 5}, and Z = {1, 3, 5} be events.
Which of the following statements is correct?
a) X and S are mutually exclusive events.
b) X and Y are mutually exclusive events.
c) X, Y, and Z are mutually exclusive events.
d) Z and Y are mutually exclusive events.
e) X and Z...
Maria says that 4 2/3 x 7 1/5 = 4 x 7 + 2/3 x 1/5....
Maria says that 4 2/3 x 7 1/5 = 4 x 7 + 2/3 x 1/5. Explain why
Maria has made a good attempt, but her answer is not correct.
Explain how to work with what Maria has already written and modify
it to get the correct answer. In other words, don’t just start from
scratch and show Maria how to do the problem, but rather take what
she has already written, use it, and make it mathematically
correct. Which...
Let X = {1, 2, 3, 4, 5, 6} and let ∼ be given by {(1,...
Let X = {1, 2, 3, 4, 5, 6} and let ∼ be given by {(1, 1),(2,
2),(3, 3),(4, 4),(5, 5),(6, 6),(1, 3),(1, 5),(2, 4),(3, 1),(3, 5),
(4, 2),(5, 1),(5, 3)}.
Is ∼ an equivalence relation? If yes, write down X/ ∼ .
ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5...
ID
X
Y
1
2
3
2
3
6
3
4
6
4
5
7
5
8
7
6
5
7
7
6
7
8
8
8
9
7
8
10
12
11
Test the significance of the correlation coefficient.
Then use math test scores (X) to predict physics test scores
(Y). Do the following:
Create a scatterplot of X and Y.
Write the regression equation and interpret the regression
coefficients (i.e., intercept and slope).
Predict the physics score for each....
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6
6]
This is my dataset
Find mean, median, mode, variance, standard deviation,
coefficient of variation, range, 70th percentile,
3rdquartile of the data and skewness and define what
each of these statistics measure. For example, mean is a measure of
the central tendency, what about the rest?
Use Chebyshev’s rule to find...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6
6]
This is my dataset
Split the dataset in two equal parts. You have 30 datavalues.
If you split the data in two equal parts each part will contain 15
data values. Call the first part Y and second part
X.Draw scatter plot of the 2 datasets, X being on the horizontal...
1. Let R be the relation on A = {1, 2, 3, 4, 5} given by...
1. Let R be the relation on A = {1, 2, 3, 4, 5} given by R =
{(1, 1),(1, 3),(2, 2),(2, 4),(2, 5),(3, 1),(3, 3),(4, 2),(4, 4),(4,
5),(5, 2),(5, 4),(5, 5)}.
(a) Draw the digraph which represents R.
(b) Give the 0 -1 matrix of R with respect to the natural
ordering.
(c) Which of the five properties (reflexive, irreflexive,
symmetric, antisymmetric, transitive) does R have? Give a brief
reason why or why not each property holds.
2. Let...
5. (a) Let σ = (1 2 3 4 5 6) in S6. Show that G...
5.
(a) Let σ = (1 2 3 4 5 6) in S6. Show that G = {ε, σ, σ^2, σ^3,
σ^4, σ^5} is a group using the operation of S6. Is G abelian? How
many elements τ of G satisfy τ^2 = ε? τ^3 = ε? ε is the identity
permutation.
(b) Show that (1 2) is not a product of 3-cycles. Must be
written as a proof!
(c) If a^4 = 1 and ab = b(a^2) in a...
Step 2 Data Set A x 1 2 3 4 5 6 7 y 7 7...
Step 2
Data Set A
x
1
2
3
4
5
6
7
y
7
7
7
9
9
9
10
Data Set B
x
1
2
3
4
5
6
7
8
9
10
11
y
4
6
6
6
8
9
9
9
10
10
10
Step 2
Find the equation for the least-squares line, and graph the
line on the scatter plot.
Find the sample correlation coefficient r and the
coefficient of determination r2. Is r
significant?...
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