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an architect has allocated a rectangular space of 416 ft^2 for a square dining room and a 10 ft wide kitchen. find both the width of the square dining room and the length of the entire rectangular space?
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back substitution or Gauss-Jordan elimination. Explain steps and show work.
Give examples (either a graph or the system of equations) of the 3 types of solutions to a system of linear equations - one solution, no solution, infinitely many solutions.
Find fourier series of f(x)=4, x greater than -3 and less than 3. Find fourier series of f(x) = x^2-x+3, x greater than -2 and less than 2
Consider the following six" postulates" Art, Bev, Cheryl , Dot and Ed all attend the same college where one is a freshman, one is a sophomore, one is a junior, one is a senior and one is a graduate student.
a normal distribution has a mean of 500 a standard deviation of 50. A manager wants to simulate one value from this distribution, and has drawn the number 1.4 randomly. What is the simulated value?
Using the result from above, calculate the first few terms of the expansion of t expanded on [1,3]. Plot this result on [-1,5].
Find the area enclosed by the given curve and the y-axis.
Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
Important information about Sets and Probability, A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favor of drawing the following.
If 1600 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Calculate the ratio of the area to the volume for a unit cube, a unit sphere inscribed inside the cube, and a right cylinder inscribed inside the cube.
Decide whether or not the events are mutually exclusive: Having good reading skills and having good math skills.
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