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Explain the following (suggested length of 1-2 pages) as if you were teaching a middle school mathematics classroom (grades 5-9):
a. Why a taxpayer whose income tax rate is 27.8% would hope that the rate could be truncated to a whole number when calculating the amount of tax owed on the tax form
1. Why the government prefers and requires the taxpayer to round the tax rate
b. Use your mental math process in calculating the above situation and how you would use rounding and truncating in real-world scenarios
1. Provide two examples of each rounding and truncation (four total examples) to illustrate mental math skills.
Let X be a continuous random variable with the PDF f and the CDF F. Assume that f(x) > 0 for all real numbers x. Define the random variable Y = F (X ). Show that Y is uniform in the interval [0, 1].
Write and solve an equation to determine the selling price of the house. Jamie sold her house for x dollars. The real estate agent received a 5% commission and Jamie received $197,125.
Pick two data points predicted by the research model a(t) to construct a new exponential model b(t) for the number of cumulative AIDS cases. Discuss how the two models differ and explain the use of the word "relief".
Asymptotes of trigonometric functions and Graph y = csc( 0.5x + pi/2) and y = cos( 0.5x + pi/2) on one set of coordinate axes.
Real Life Application of Linear Eqations : A mathematician has developed a model indicating a woman with x years of education can expect to earn y = 1200x + 6300 dollars a year.
Find the volume of a frustum of a pyramid with square base of side 30, square top of side 15 and height 10.
Integrate the integral below using the partial fractions method. (S represents the sign for integration) S x^3 + 4 / (x^2 - 1)(x^2 + 3x + 2) dx
The measure of the central angle of the sector
The equation for the mid-span deflection of a simply supported beam carring a uniformly distributed load can be determined from. Taking care with units, use this transposed equation to find the maximum length of beam that can be used if the midspan..
Objective questions based on regression
A certain population has a mean of 488 and a standard deviation of 31. Many samples of size 51 are randomly selected and the means calculated.
How to clarify a rotated conic section - how linear transformations can be used to study rotated conic sections. Your essay should include
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