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Eight square tiles are laid out on a table so that they make a solid pattern. Each tile must touch at least one other tile along an entire edge. The squares all have sides of length 1.
Here is an example: The figures have a perimeter of 14 and 16 respectively.
(a) What are the possible perimeters of the figures that can be formed?
(b) Which figure has the smallest perimeter?
(c ) Which figure has the largest perimeter?
A jar contains m+n tickets, numbered 1,2,...,n+m. A set of size n is drawn. If we let X be the number of tickets drawn, whose numbers exceed each of the numbers of those remaining, compute the probability mass function of X.
Differential equations with initial conditions - Evaluate and graph the solution, and indicate whether the solution makes sense for all time.
Calculate the range, variance, inter quartile range, coefficient of variation and standard deviation.
Use the euclidean algorithm to find the greatest common divisor of 981 and 1234.
Statistics: linear and multilinear regressions, The personnel director for a local manufacturing firm has received complaints from the employees in a certain shop regarding what they perceive to be inequities in the annual salary for employees who..
Determine the Fourier series for the function. Sketch both the expected Fourier series graphs using Mathcad to check solution.
stone is thrown straight up from the edge of a roof, 675 feet above the ground, at a speed of 10 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 6 seconds later?
In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items..
Use the regression model to predict the shipments
The rate of change of the frequency (f) of an electronic osillator with respect to the inductance (L) is df/dL = 80(4 + L)^-3/2, find (f) as a function of (L) if (f) = 80 Hz for L = 0H.
The air resistance to the jumper is a( ?v) where ?(v)= √(vx^2+vy^2) is the magnitude of jumper's velocity. Please compute the jumper's velocity as a function of height.
Given the linear equation, find the y-coordinates of the points (-9, ), (0, ), and (9, ). Please show all of your work. Plot those points and graph the linear equation.
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