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What is the greatest 3 integes. If 3 Consecutive integus ham sum ut 63 3 A.20...
What is the smallest positive integer that can be expressed as the sum of nine consecutive positive integers, the sum of ten consecutive positive integers, and the sum of eleven consecutive positive integers? Explain how you arrived at this number.
3. Consecutive Sums a. (4 pts) Write 90 as the sum of consecutive positive integers in as many ways as possible. b. (4 pts) If a number can be written as n (d)(t) where d is an odd number of the form 2k + 1 and d is greater than 1, show symbolically how n can be written as the sum of consecutive numbers. Illustrate this with one example from part a. c. (4 pts) State a conjecture identifying the...
3. (6 marks) For b1,b2, 63, 64 € R, consider the linear system of equations + 21 + 22 -11 + 22 23 624 = bi 3.13 + 2014 b2 23 + 2:04 b3 603 + 20:24 = 54 *) 21 + 2:01 + 4.22 where 11, 12, 13, 14 ER. (a) Find a system of equations that bı, b2, 63, 64 must satisfy in order for (+) to be consistent. bi [ must satisfy so (+) is (b) Using...
Prove by induction that the sum of any sequence of 3 positive consecutive integers is divisible by 3. Hint, express a sequence of 3 integers as n+(n+1)+(n+2).
Solid Mechanics 22 Problem! ( Marke) The ham is subjected to a moment of 20 KN Determine the resultant for the bencin stress produces on the the maximum bencing stress developed in the han and bottom flange B A na stress produces on the top flag 200 mm ON-
three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third. what are the integers?
A sample of 200 ROM computer chips was selected on each of 30 consecutive days, and the number of nonconforming chips on each day was as follows: 10, 21, 26, 18, 38, 20, 5, 23, 11, 22, 28, 12, 14, 22, 20, 19, 16, 25, 10, 17, 14, 17, 15, 22, 29, 15, 9, 19, 16, 25 Calculate pbar = LCL = UCL =
1. (20 points) Consider the linear regression model y = a + Bt + ut, ut id(0,%), (t = 1, ...,T). An estimator of B is b=1-1 YT- 41 (a) is estimator b consistent? (Hint: use Chebyshev's inequality) (b) If u i.i.d. N(0,1), what is the asymptotic distribution of b?
Chapter 8, Section 2, Exercise 053 Peanut Butter vs Ham & Pickles The ANOVA table for the SandwichAnts data below indicates that there is a difference in mean number of ants among the three types of sandwich fillings. We know that the difference is significant between vegimite and ham & pickles, but not between vegemite and peanut butter. What about peanut butter vs ham & pickles? Test whether the difference in mean ant count is significant (at a 5% level)...
3. A coin is tossed, what is the probability that two consecutive heads or two consecutive tails occur in at most four tosses? Draw a tree diagram first. (6 points)