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Set up a system of equations needed to solve the following problem. Use any appropriate method to solve the system. Define the variables.
Jimmy's Cars produces two types of cars in two different factories. Factory A produces 25 baseline and 50 GT cars per day. Factory B produces 150 baseline and 75 GT cars per day. How many days would the company have to operate each factory in order to fill an order for exactly 500 baseline and 325 GT cars?
If the merchant samples the fruit, what are the probabilities of accepting a Good box, accepting a Bad box, and not accepting the box? What are these probabilities if he does not sample the fruit
Let R be a commutative ring with 1. Prove that if (a,b)=1 and a divides bc, then a divides c. More generally, show that if a divides bc with nonzero a,b then a/(a,b) divides c.
Random Variables : Continuous R.V., Exponenetial, R.V, Mean and Variance, 3) Let X be a continuous random variable with probability density function
Suppose you randomly draw two marbles, without replacement from a bag, containing six green, four red and three black marbles. a) Determine the probability that both marbles are red.
Let R be the shaded region bounded by the graphs of y=sqaure root of x, and y=e to the power of -3x, and the vertical line x=1.
How many weighings of a balance scale are needed to find a lighter counterfeit coin among four coins? Describe an algorithm to describe the lighter coin using this number of weighings.
Find whether the given information results in one triangle.
Flying against the jetstream, a jet travels 4550km in 7 hours. Flying with the jetstream, the same jet travels 5340km in 6 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
How many passengers are required in the sample to reduce in half the sampling error within which we need to estimate the proportion of passengers who had purchased tickets for more than $400 over a year's time?
Use exponential smoothing to find the forecast of shipments
Write equations for vertical and horizontal lines passing through the point (-6,5) in (x,y) coordinates. A line passes through the point (x,y)= (-9,-5)and has a slope of -8. Write an equation for the line.
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