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using the substation Method or elimination Method. If you can show the work on how to solve these problem.
1. x+y=5 Y+-2x+5
2. y=4x-2 3x+y=-9
3. 5x+8y=-14 -3x+5y=28
4. x+y=2 x-y=12
5. x-6y=18 2x-5y=15
6. 8x+7y=-7 2x-5y=5
For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve.
suppose the rectangular plot runs along a building, so that you need to fence only three sides. What dimensions will now yield a maximum area with 100 meters of fencing?
What is the claim? Compute the critical value for a=0.05, compute the test value. Is there sufficient evidence to support he claim?
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 16.0 m below the water level.
Objective questions based on regression.
find the probability that his or her birthday is not in May. If a person is randomly selected, find the probability that his or her birthday is not in May.
How many bit strings of length 7 are there? Explain. How many bit strings of length 7 are there which begin with a 0 and end with a 1? Explain. How many bit strings of length 7 is there that contain an even number of ones? Explain.
An arrow is accidentally shot into the air. The formula y = - 14x2 + 56x + 18 models the arrow's height above the ground, y, in feet, x seconds after it was released.
John steps on an escalator to leave a subway. Then, 5 seconds later, Jane steps on a parallel escalator to enter the subway. They pass 14 seconds after that. If both escalators are travelling at a speed of 5 feet per second, what is the length of ..
According to the empirical rule, almost all the data should lie between (x-3s) and (x+3s). The range accounts for all the data.
Using the readings discussed in this course, provide one real-world application of the information learned that has been the most valuable to you. Why has it been valuable?
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