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Solve the system of linear equations. If the unique solution does not exist state weather the system is inconsistent or dependent.
1. -x - y = 4x -y = -8
2. 3x - 2y = 23x +5y = -15
3. 4x + 2y = 4y = 2 - 2x
4. 4x - 3y = 92x + y = 12
5. 5x + 4y = 40x + 2y = 11
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
Modeled the word problem mathematically like system of equations and solve by the matrix method - Determine the augmented matrix that represents the three equations
Calculating The Probability For a Normal Random Variable. The ages of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One women is randomly selected from the group, and her age is observ..
Probability when throwing five six-sided dice, Compute the probabilities for each of the following when you throw five-six handed dice.
A square sheet of cardboard 24 inches on a side is made into a box by cutting squares of equal size from each corner of the sheet and folding the projecting flaps into an open-top box
Analyze the data using graphical representations & numerical summaries.
Define an intercept in a parabolic graph. What are the number(s) of intercepts a quadratic graph may have? Explain your answer/ diagram etc. How do you compute the intercepts in a quadratic function?
Find the probability of making a Type II error.
The answer to finite abelian group, Suppose that G is a finite Abelian group and G has no element of order 2. Show that the mapping g-->g^2 is an automorphism of G.
Solve the problem on discrete distribution.
Calculate the missing R-square statistic.
Prove that the mapping a(g) = g^-1 for all g in G is an automorphism if and only if G is Abelian. An isomorphism from a group G onto itself is called an automorphism of G.
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