1) Give the formula for computing Sum of k as k varies from 1 to N...
1) Give the formula for computing Sum of k as k varies from 1 to N =
2) Give the formula for computing all possible ways of assigning 100 boxes to 5 trucks =
3) How many unique pairs are there with N objects? Give the formula.
Homework Answers
Ans 1) Sum=n(n+1) / 2
Sum of first n natural numbers
Ans 2) 5100
100 boxes can be assigned to 5 trucks in 5100 ways
Ans 3) n(n-1)/2 pairs
where n is the number of n objects
Add Answer to:
1) Give the formula for computing Sum of k as k varies from 1 to
N...
(1) Give a formula for SUM{i} [i changes from i=a to i=n], where a is an...
(1) Give a formula for SUM{i} [i changes from i=a to i=n], where a is an integer between 1 and n. (2) Suppose Algorithm-1 does f(n) = n**2 + 4n steps in the worst case, and Algorithm-2 does g(n) = 29n + 3 steps in the worst case, for inputs of size n. For what input sizes is Algorithm-1 faster than Algorithm-2 (in the worst case)? (3) Prove or disprove: SUM{i**2} [where i changes from i=1 to i=n] ϵ tetha(n**2)....
Please write full justification for (a) and (b). Will uprate/vote! 4. K-means The goal of K-means clustering is to divide a set of n points into k< n subgroups of points that are "close" t...
Please write full justification for (a) and (b). Will
uprate/vote!
4. K-means The goal of K-means clustering is to divide a set of n points into k< n subgroups of points that are "close" to each other. Each subgroup (or cluster) is identified by the center of the cluster, the centroid (μι, μ2' ··· ,14k) In class, we have seen a brute force approach to solve this problem exactly. Each of the k clusters is represented by a color, e.g.,...
how to find the actual sum and how to find the maxinmum error, do we have any formula? thanks 11 Let *(3n+1) Suppose we estimated Σ a" by computing the partial sum k-1-2+. According to the Altern...
how to find the actual sum and how to find the maxinmum error,
do we have any formula? thanks
11 Let *(3n+1) Suppose we estimated Σ a" by computing the partial sum k-1-2+. According to the Alternating Series Estimation Theorem, (ak is an undenestimate, and the maximumerror is 12 (b) is an overestimate, and the maximum error is 24 (e) k is an overestimate, and the maximum error is 12 (d) The Alternating Series Estimation Theorem cannot be used because...
2. A binary string s a finite sequence u = ala2 . . . an, where each ai įs either 0 or 1. In this case n is the length...
2. A binary string s a finite sequence u = ala2 . . . an, where each ai įs either 0 or 1. In this case n is the length of the string v. The strings ai,aia2,...,ai...an-1,aan are all prefixes of v. On the set X of all binary strings consider the relations Ri and R2 defined as follows R, = {(u, u) | w and u have the same length } {(w, u) | w is a prefix of...
a solution to an recursive relation is given by the equation. find the explicit formula for a to the n 0001061000 2...
a solution to an recursive relation is given by the equation.
find the explicit formula for a to the n
0001061000 2 where ao = 2 and a1 = 7, Find the expl u for the number of objects or ways. Leave your answer 2. A solution to an recursive relation is given by the equation: an an-1 + 2an-2 where ao 2 and a17. Find 3. This is a counting problem. All questions in this problem ask you for...
Sum of Pairs
Sum of PairsProblemGiven a number n between 1 and 12 (inclusive), your job is to find all the pairs of numbers that produce n when summed. For instance, given the number 5, two possible pairs of numbers are1, 4 and 2, 3. Each number in the pair must be unique, meaning that 3, 3 is not a valid pair to sum to 6.You will be writing a method to accomplish this goal.sumOfPairs()Your method will take as a parameter the integer ...
Use iteration to guess an explicit formula for the sequence... Materials for Reference: Homework Problems Solve the following problems 1. Use iteration to guess an explicit formula for the sequenc...
Use iteration to guess an explicit formula for the
sequence...
Materials for Reference:
Homework Problems Solve the following problems 1. Use iteration to guess an explicit formula for the sequence. Use the formulas from summation formula.pdf to simplify your answers whenever possible. (Follow the solution of exercise set 57-problem #5, on page A-43) dk-4dk-1+3, for all integers k2 2,where d1-2 2. Use iteration to guess an explicit formula for the sequence. Use the formulas from summation formula.pdf to simplify your...
May 6, 2019 Directions: Answer each question as completely as possible. Include all of your work and reasoning as partial credit will be given on the basis of incomplete or partially correct answ...
May 6, 2019 Directions: Answer each question as completely as possible. Include all of your work and reasoning as partial credit will be given on the basis of incomplete or partially correct answers. Unless otherwise indicated, each question is worth two points 1. Find S(5,3) and P(5,3). Give exact answers for each 2. How many 4 number PIN numbers are possible? How many have at least one repeated digit? 3. Compute how many integer solutions there are for the equation...
Consider a set of n boxes with their positions numbered from 1 to n. Initially, all...
Consider a set of n boxes with their positions numbered from 1 to n. Initially, all the boxes are CLOSED. These n boxes are subject to modifications over n iterations as follows. At the ith iterations the boxes at the positions whose ids are multiples of i are flipped, i.e. changed from CLOSED to OPEN or vice-versa. For example, at iteration 1, boxes at all positions are flipped, at iteration 2, boxes at positions 2,4,6,etc. are flipped, at iteration 3,...
You have a pair of 4-sided dice. The four sides of each die are numbered 1,...
You have a pair of 4-sided dice. The four sides of each die are numbered 1, 2. 3, and 4. Each time the pair of dice is rolled, you add the numbers from each die. Out of all the possible ways the dice can land, how many of them give you a sum of 5? Number How many ways give you a sum of 8? Number What is the probability of rolling a sum of 7 with these dice? Number
Please write full justification for (a) and (b). Will
uprate/vote!
4. K-means The goal of K-means clustering is to divide a set of n points into k< n subgroups of points that are "close" to each other. Each subgroup (or cluster) is identified by the center of the cluster, the centroid (μι, μ2' ··· ,14k) In class, we have seen a brute force approach to solve this problem exactly. Each of the k clusters is represented by a color, e.g.,...
how to find the actual sum and how to find the maxinmum error,
do we have any formula? thanks
11 Let *(3n+1) Suppose we estimated Σ a" by computing the partial sum k-1-2+. According to the Alternating Series Estimation Theorem, (ak is an undenestimate, and the maximumerror is 12 (b) is an overestimate, and the maximum error is 24 (e) k is an overestimate, and the maximum error is 12 (d) The Alternating Series Estimation Theorem cannot be used because...
2. A binary string s a finite sequence u = ala2 . . . an, where each ai įs either 0 or 1. In this case n is the length of the string v. The strings ai,aia2,...,ai...an-1,aan are all prefixes of v. On the set X of all binary strings consider the relations Ri and R2 defined as follows R, = {(u, u) | w and u have the same length } {(w, u) | w is a prefix of...
a solution to an recursive relation is given by the equation.
find the explicit formula for a to the n
0001061000 2 where ao = 2 and a1 = 7, Find the expl u for the number of objects or ways. Leave your answer 2. A solution to an recursive relation is given by the equation: an an-1 + 2an-2 where ao 2 and a17. Find 3. This is a counting problem. All questions in this problem ask you for...
Use iteration to guess an explicit formula for the
sequence...
Materials for Reference:
Homework Problems Solve the following problems 1. Use iteration to guess an explicit formula for the sequence. Use the formulas from summation formula.pdf to simplify your answers whenever possible. (Follow the solution of exercise set 57-problem #5, on page A-43) dk-4dk-1+3, for all integers k2 2,where d1-2 2. Use iteration to guess an explicit formula for the sequence. Use the formulas from summation formula.pdf to simplify your...
May 6, 2019 Directions: Answer each question as completely as possible. Include all of your work and reasoning as partial credit will be given on the basis of incomplete or partially correct answers. Unless otherwise indicated, each question is worth two points 1. Find S(5,3) and P(5,3). Give exact answers for each 2. How many 4 number PIN numbers are possible? How many have at least one repeated digit? 3. Compute how many integer solutions there are for the equation...
You have a pair of 4-sided dice. The four sides of each die are numbered 1, 2. 3, and 4. Each time the pair of dice is rolled, you add the numbers from each die. Out of all the possible ways the dice can land, how many of them give you a sum of 5? Number How many ways give you a sum of 8? Number What is the probability of rolling a sum of 7 with these dice? Number
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