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Find the slope for each line that has a slope
x=5y
Find an equation in the form y=ms +b (where possible) for each line.
Through (3,-5) parallel to y= 4
Graph each linear equation defined as follows;
3x - 5y =15
Solve each system of equation. Let z be the parameter.
x+2y +3z=11
2x- y + z +2
Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers
Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting
Find the mean score
Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000
From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.
Perform the appropriate analysis and state the conclusions
The monthly cost in dollars of a phone plan is a linear function of the calling time in minutes. The monthly cost for 40 minutes of calls is $14.18 and the monthly cost for 96 minutes is $19.22.
Determine if the following chemical equation is a kinetically paced reaction: 4NO + 4NH3 + O2 = N2 + 6H2O In other words, is there a kinetic rate equation that can be presented simply that defines the pace of the above reaction
Summation and proof using mathematical Induction - Provide a careful and complete proof by induction.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
Estimate all the stationary points
Show that if G is a 2-connected graph containing a vertex that is adjacent to at least three vertices of degree 2, then G is not hamiltonian.
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