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Why is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation?
I responded: If two points P, Q satisfy the same linear equation, then the two points are on the line represented by the equation. Geometrically, two points on a plane will determine a unique line. Thus the two points will give you the same graph for the line represented by the equation.
But she then asked me the following follow-on question which I need help answering:
If you pick two other points from the equation, they still lie on the same line formed by the first set of two points. Why do both pairs give the same line - why not two different lines?
Assuming you are the financial manager of a for-profit hospital, what is the hospital's cost of capital assuming that the hospital has the following capital structure on its Statement of Financial Position
Determine the correct degree of freedom
Nilpotent transformation, Consider the transformation N: V->V. Let g be a vector such that N^k-1 does not equal 0, but N^k = 0. First show that the vectors g,N(g),N^2(g),..,N^k-1(g) are linearly independent
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?
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form.
Develop a joint probability table. Develop a probability tree showing all marginal, conditional, and joint probabilities.
Test hypothesis for variance.
Given that f(x)=exp(-x), please show that its moment generating function is given by M(z)=1/(1-z), and show that the kth moment about the origin is k.
Mathematics - A 3 x 3 transportation model, Cammile, a fruit dealer, sells fruits to customers in Mani, Pampan, and Paciz. The monthly demand is 4000 kilos in Mani, 2500 kilos in Pampan, and 1000 kilos in Paciz.
Probability : Demand for a Product The demand for a product is estimated to be normally distributed with u=200 and o=40. Let x be the number of units demanded
Discuss the factors which might cause variation
Choose the best decision maximax and maximin principle
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