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1. Gelly Roll pens come in 6 colors of fine point and 11 of medium point, 10 moonlight colors, 10 shadow colors, 12 stardust colors, and 14 metallic colors. (Not kidding.) How many different Gelly Roll pens are there?
2. When redeeming a prize coupon, you may choose one of six charms and either one of three carabiners or one of two bracelets. How many different prize choices could you make?
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
determine how many passengers will result in the maximum revenue for the owner of the yacht. What is the maximum revenue? What would be the fare/passenger in this case?
Write down detailed explanations and arguments to justify your calculations. If you wish to use a certain formula, be sure to state it clearly and give a brief justification for it.
Probability and Statistics : Poisson Distributions and Standard Deviations, The number of violent crimes committed in a large city follows a Poisson distribution with an average rate of 10 per month.
Consider a current-carrying conductor of length L placed in a uniform magnetic field of strength B. Derive the force experienced by the conductor.
To ensure that funds will be available when needed, there will be a three month overlap period, and net proceeds from the new issue will be invested at 5% in the money market. Skyline's tax rate is 30%. Should the firm refund its existing debt?
question a ferris wheel has a radius of 10cm and the bottom of the wheel passes 1m above the ground. if he ferris wheel
The Ortegas decide to buy some furniture priced at $400 with $40 down and the balance to paid for using 10% add-on interest, to be paid in monthly installments over one year. What are the total interest they will be charged? and what is their mont..
What is the sum of twelve and twelve? Or in other words what is twelve plus twelve? Or if you had twelve sheep and someone then gave you twelve more sheep how many sheep would you know have?
Juan's first-grade class received 82 half-pint cartons of milk to distribute evenly to his 22 students. How many cartons were left over?
IGS, an international group of scientists, proposes that a network of canals on Mars be dredged in preparation for irrigation and terraforming. Figure 12.18 shows a map of the network in question. You have been asked to consult with IGS on some pr..
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