Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 4.I, Problem 1TIE
Use the following blank to write a check for Natalie Eldridge to Whole Foods for a party platter in the amount of $41.88 on April 27.
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5. State space models
Consider the model
T₁ = Tt−1 + €t
S₁ = 0.8S-4+ Nt
Y₁ = T₁ + S₁ + V₂
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a. Write the model in the standard (matrix) form of a linear Gaussian state space model.
b. Does lim+++∞ Var (St - St|n) exist? If so, what is its value?
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Chapter 4 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 4.I - Use the following blank to write a check for...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - Fill out the deposit slip for Hi-Volt Electronics...Ch. 4.I - From the following information, complete the two...Ch. 4.I - You are the owner of the Busy Bee Launderette....Ch. 4.I - Prob. 2RECh. 4.I - You have just received a check. Your account...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - Properly fill out the deposit slip for The Star...
Ch. 4.I - Properly fill out the deposit slip for Howard...Ch. 4.I - 8. From the following information, complete the...Ch. 4.I - From the following information, complete the...Ch. 4.I - 10. From the following information, complete the...Ch. 4.II - Using the form provided, reconcile the following...Ch. 4.II - 1. On April 3. Erin Gardner received her bank...Ch. 4.II - Bob Albrecht received his bank statement on July 5...Ch. 4.II - On December 2. John Leahy received his bank...Ch. 4 - 1. A(n) ___________ is a written order to a bank...Ch. 4 - On a check, the ___________ is the person or...Ch. 4 - When a(n) ___________ card is used, the amount of...Ch. 4 - 4. Write the word form of $52.45 as it would...Ch. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Attached by perforation to checks, check...Ch. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 1ATCh. 4 - 2. You have just received a check. Your account...Ch. 4 - As cashier for Cellinis Pizza, it is your...Ch. 4 - Simon Fitzrowdy checked his checking account...Ch. 4 - Prob. 5ATCh. 4 - 6. On October 1, Jessica Clay received her bank...Ch. 4 - Using the form on page 121, prepare a bank...
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- Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 203.8 ft and standard deviation 43.8 ft. You intend to measure a random sample of n = 211trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis (each tick mark) is one standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. Image attached. I filled in the yellow boxes and am not sure why they are wrong. There are 3 yellow boxes filled in with values 206.82; 209.84; 212.86.arrow_forwardAnswer this questionarrow_forwardIn this exercise, we will investigate a technique to prove that a language is notregular. This tool is called the pumping lemma.The pumping lemma says that if M = (S, I, f, s0, F ) is a DFA with p states (i.e., p = |S|) and if the wordw is in L(M ) (the language generated by M ) and w has length greater than or equal to p, then w may bedivided into three pieces, w = xyz, satisfying the following conditions:1. For each i ∈ N, xy^i z ∈ L(M ).2. |y| > 0 (i.e., y contains at least one character).3. |xy| ≤ p (i.e., the string xy has at most p characters). Use the pumping lemma to show the following language is not regular (HINT: Use proof by contradictionto assume the language is regular and apply the pumping lemma to the language):L = {0^k1^k | k ∈ N}arrow_forward
- A prefix of length ℓ of some word w are the first ℓ characters (in order) of w.1. Construct a context-free grammar for the language: L = {w ∈ {a, b}∗ | every prefix of w has at least as many a’s as b’s}2. Explain why every word generated by your context-free grammar (in Part 1) is contained in L. Then,prove via induction that every w ∈ L is produced by your context-free grammar.arrow_forwardConsider a simplified version of American football where on any possession ateam can earn 0, 3 or 7 points. What is the smallest number n0 of points such that for all n ≥ n0 and n ∈ Na team could earn n points. You must prove that your answer is correct via induction (HINT: Don’t forgetto show that n0 is the smallest number above which any number of points is reachable).arrow_forwardConsider a vocabulary consisting of the nucleotide bases V = {A, T, G, C}.Construct a DFA to recognize strings which end in AAGT .(a) Draw the DFA with clear markings of all states including start and acceptance state(s).(b) Simulate the DFA to show that string T GAAGT will be accepted by the DFA.(c) Simulate the DFA to show that string T AAGT G will not be accepted by the DFA.arrow_forward
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