1 1.a). Show thatb). Consider a set of n antennas of which m are defective. Suppose that all of the defectivesand all of the non defective antennas are considered indistinguishable. How many linearorderings are there in which no two defectives are consecutive?c). Consider the grid of points shown below. Suppose that starting from point "A", you cango one step up or one step to the right at each move. This is continued until the point "B"is reached.up C3BWhat is the probability that the chosen path contains the point circled in the figure?

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Answered: a). Show that

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.5: Convex Polygons

Problem 41E

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2. Suppose n ≥ 1 is an integer. Consider an (n + 1) x (n + 1) grid of integer points; i.e. points of the form (a, b) where 0 ≤ a,b ≤n. A Binomial Path with 2n steps is a path from the point (0, 0) to (n, n) formed by moving either 'right' (i.e. from (a, b) to (a +1, b)) or ‘up' (i.e. from (a, b) to (a, b+1)). (a) Draw all distinct Binomial Paths with 2n steps when n = = 2. (b) Write down a correspondence that relates the Binomial Paths with 2n steps to strings of length 2n consisting of exactly n 1s and n Os. More precisely, let B₁, be the set of Binomial Paths with 2n steps, and let Sn be the set of strings of length 2n consisting of exactly n 1s and n Os. Construct a bijection f: Bn Sn. (You don't have to prove that it is a bijection.)
Jump to... Which of the Microsoft Excel commands below can be used to calculate P(Z > -1.96) ? Select one: = NORM.S.DIST( -1,96 ; FALSE ) = NORM.S.DIST( -1,96 ; TRUE ) = 1 - NORM.S.DIST( -1,96 ; TRUE ) = 1 - NORM.S.DIST( 1,96 ; TRUE ) = NORM. S.DIST(-1,96 ; TRUE )-NORM.S.DIST( 1,96 ; TRUE )
1.) Create an m-file with the name exercise_2_first_name_last_name. 2.) Use linspace() to create an array of times, call it t, from 0 to 5 with 200 points. 3.) Plug the points in t into the following equations: y, (t) = -4.9t2 + 3t and y,(t) = -4.9t2 + 7t where t is in seconds and y is in meters. These equations represent the heights of two objects thrown directly upward with initial positions y = 0 and initial speeds 3" and 7. 4.) Create a figure showing two graphs with the plot command. Graph one equation as green circles and the other as blue dots. You'll want to add the hold on command before the plot commands. It’ll let you graph more than one set of data points. 5.) Add the following labels using xlabel and ylabel: time (s) and height (m). When we graph quantities with units, we include the units in parenthesis directly after the name of the quantity. The reader must know what units are being plotted since they represent real quantities. 6.) Add the following title: Heights vs.…
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