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The 37th pearl (from For all Practical Purposes, by COMAP, 2003, W. H. Freeman) Three friends buy a bag guaranteed to contain at least 30 high quality pearls at an auction. Abe contributes $5900, Beth's contribution is $7600, and Charles contributes $1400.
(a) When they get home they pour 36 pearls on the kitchen table. They decide to use Hamilton's method to apportion the pearls. How many pearls do they each get?
(b) Charles notices the bag is not empty! Another pearl comes out. What happens when they recalculate the apportionment (using Hamilton's method)? What does Charles say?
(c) Suppose the friends had been using Jefferson's method rather than Hamilton's method. How would the resolution of the story differ?
Consider a deck of four cards, labeled 1?, 1Ο, 2?, and 2Ο. Draw a card, put it back, shuffle the deck, and draw a second card. Compute the expected value of Z = X +Y, where X is the numerical value of the first card and Y is the numerical value of..
where R (the resistance) and C (the capacitance) are constants. If the voltage V across a certain capacitor with capacitance C = 3 x 10-6 farads drops from 10 volts to 1 volt in two seconds, determine the resistance R.
Write the equation of the line in slope-intercept form, and graph using the slope and the y-intercept
Find the general homogeneous solution
A gutter cleaner wants to reach a gutter 40 ft above the ground. Find the length of the shortest ladder that can be used if the steepest angle at which it can be leaned
Montgomery, Peck, and Vining (2001) present data concerning the performance of the 28 National Football League teams in 1976. Calculate the least squares estimates of the slope and intercept. What is the estimate of 2? Graph the regression model
A shopkeeper has x kilograms of tea in stock. He sells 15 kilograms and then receives a new shipment weighing2y kilograms. State an expression representing the weight of the tea he now has?
two cars leave a city and heads in the same direction after 6 hours the faster car is 30 miles ahead of slower car.
an antifrictionbearing is to be mounted on a 6 in. diameter shaft.nbsp the inside diameter hole of the bearing is found
Considering the above combinations and using Spacegass determine the maximum (positive and negative) reactions, shear forces and bending moments the beam should be designed for. These maximum values are known as "design" values.
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
That is, what is E(X|A) where X is the sum of the numbers appearing on the two dice and A is the event that X ≥ 9? The law of total expectation states that if the
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