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1. Is [2]=[123] modulo 6? Explain.
2. Write an algorithm that counts to 18 by twos.
3. Prove, using only the definition of congruence modulo n, that if a ≡ b (mod n) and c ≡ d (mod n), then a+c ≡ b+d (mod n).
Water is being pumped into an inverted conical tank at a constant rate of 10ft3/min. At the exact same time, water is leaking out of the tank at a constant rate.
Find the sum of the areas of the infinite sequence of squares - The sum of the areas of the infinite sequence of squares is __ m2.
On Friday, a local hamburger shop sold a combined total 444 of hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?
A rancher has 296 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce the largest total area.
Suppose a health insurance company identifies each member with an 8-digit account number. Define the hashing function h that first takes the first 3 digits of an account number as one number and the last 5 digits as another number, then adds them,..
A poll is planned to determine what proportion of all students favor an increase in fees to support a new track and field stadium. A questionnaire will be published and the first 1000 completed questionnaires will be analyzed. Which of the followi..
Generate 200 observations from the process Xt = 10 cos(πt/6) + Wt, where Wt is a Gaussian (normal) white noise with mean zero and variance 1. Plot the PACF and comment
he first three characters of a car license plate number are letter characters. Car license plates can have repeats. For a), remember that the combination "AA" is possible.a) What's the probability of the first three characters being BAZ?
Two armies are advancing on two cities. The first army has 4 regiments and the second army has 3 regiments. At each city, the army that send more regiments to the city captures both the city and the opposing army regiment.
The decibel level of a sound is given by dB = 10 log (E/E0), where E0 = 10-12 watts/m2 and E is the intensity of the sound. What is the decibel level of a sound with intensity E =10-4
What are red Bull's greatest strengths and risks as more companies (like Coca-Cola, Pepsi, and Monster) enter the energy drink category and gain market share?
What does that say about how long we should expect it to run as we increase the size of the j and k whose GCD we are computing?
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