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Formulate and prove a version of the division algorithm for integers allowing negative remainders. Will you be able to preserve uniqueness of the quotient and remainder? Give a proof or counterexample.
A box with a square base has length plus girth of 114 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in3?
Identify a sampling method that would lead to a representative sample for the survey. Explain why it would be a good choice and give details about the process.
Find the probability of making a Type II error.
The two formulas f(t)=Pa^t and f(t)=Pe^rt provide two models for the same exponential growth or decay function. How are the exact values of a and r related? (Find a formula for a as a function or r.
Formulate a linear programming model for this problem.
A coin is tossed three times. What is the conditional probability that the outcome is THT given that at least one head occurs?
an airplane is flying on a bearing of 140 degrees at 395 miles per hour. A wind is blowing with a bearing of 190 degrees at 35 miles per hour. Find the actual speed and direction(bearing) of the plane.
Determine the steady-state probabilities for this transition matrix algebraically and explain what they mean.
A coin tossed 40 time. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 26 tosses. What is the probability of being correct 28 or more times by guessing?
The drying rate in an industrial process is dependent on many factors and varies according to the following distribution.
Try to find a number for x that when substituted in the formula yeilds a composite number. need to use 5 numbers. 0, 2 odd, 2 even.
you project a drawing 7 in. wide and 4 1/2 in. tall onto a wall. the projected images is 27 in. tall. how wide is the projected image.
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