Math in Our World
4th Edition
ISBN: 9781264357116
Author: sobecki
Publisher: MCG
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Chapter 4, Problem 22RE
For Exercises 21 and 22, perform the indicated operation. Leave answers in the Egyptian system.
22. 
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For all integers a and b, (a + b)^4 ≡ a^4 + b^4 (mod 4).
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- For all integers a and b, (a + b)^3 ≡ a^3 + b^3 (mod 3).arrow_forwardFind a plane containing the point (3, -3, 1) and the line of intersection of the planes 2x + 3y - 3z = 14 and -3x - y + z = −21. The equation of the plane is:arrow_forwardDetermine whether the lines L₁ : F(t) = (−2, 3, −1)t + (0,2,-3) and L2 : ƒ(s) = (2, −3, 1)s + (−10, 17, -8) intersect. If they do, find the point of intersection. ● They intersect at the point They are skew lines They are parallel or equalarrow_forward
- Answer number 15arrow_forwardWhy researchers are interested in describing measures of the center and measures of variation of a data set?arrow_forwardLet Χ be a real-valued character (mod k). Let k S = Σnx(n). n=1 If (a, k) = 1, ax(a)S = S (mod k). (iii) Write k = 2ºq where q is odd. Show that there is an integer a with (a, k) = 1 such that a = 3 (mod 2ª) and a = 2 (mod q). Deduce that 12S = 0 (mod k).arrow_forward
- The following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. C. Calculate the Measures of Central Tendency using the table in point B. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8arrow_forwardSolve for yarrow_forwardSolve for xarrow_forward
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