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Suppose you are given twelve coins all identical in appearance. You are told that one coin is counterfeit and weighs a slightly different amount from the remaining 11. You are given a simple two-arm balance to weigh the coins. Determine which coin is the counterfeit coin in as few weightings as possible. Does your method also allow you to state whether the counterfeit coin is heavy or light?
There are two lines through the point (2,-3) that are tangent to y=x²+x. Find the x-coordinates of the points where these lines touch the parabola.
There is a very famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls, what is its name?
Information on a packet of seeds claims that the germination rate is 92%. The packet contains 160 seeds. We will treat the packet as a random sample of seeds. Find the standard error of the proportion. Show 4 decimal places in your answer.
Economics : Equations, Quantity and Profit, A company manufacturers and sells a product. The estimated demand and cost functions are as below
When graphing a linear inequality, how do you know if the inequality represents the area above the line? What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?
james buys a share at $53.41 on Monday, which gaines $1.35 on tuesday, loese $2.10 on Wednesday, and gains $4.65 on Thursday. What is James man daily profit or loss?
Light Bright Warehouse sells boxes of high efficiency light bulbs ($5 box) and switch plates ($10 each). In May, total sales were $42000. Customers bought five times as many boxes of light bulbs as switch plates. How many of each did Light Bright ..
Prove that the function f(x) = C (a constant function) is Reimann integrable over [a,b] and calculate its Reimann integral over [a,b]
determine the height and velocity of the rocket at the moment when the fuel is exhausted. B. at what time does the rocket reach it's maximum height, and what is that height. C. at what time does the rocket land.
Digit probability A young girl gave a young man her phone number during a hurried parting. The young man remembers the 7 digits of her phone number
Similarly, one additional unit will be occupied for each 4 dollar decrease in rent. What rent should the manager charge to maximize revenue.
A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.
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