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A villain known as The Joker is threatening to destroy a number of important pieces of infrastructure in Gotham City. The police commissioner has estimated that with an expenditure of $10 million per week (the city does not pay taxes), they can reduce the risk of an attack by half. Assuming an initial probability of 30% that the attack will succeed and no one is actually injured in the attack, what is the minimum amount of economic damage the Joker would have to inflict in an attack to justify this expenditure?
at what value of t is the temperature changing the fastest?
You wish to deposit $500 per month into an account for 36 months. Assume your interest rate is equal to the prime interest rate.
Express the volume of this region as a single triple integral in rectangular coordinates and Express this integral in terms of one or more integrals in the order dz dx dy.
The value V (in millions of dollars) of a famous painting can be modeled by the equation V = 10ekt, where t represents the year, with t = 0 corresponding to 1980. In 2003, the same painting was sold for $50 million. Find the value of k.
McBurger's fast-food restaurant has a drive-through window with a single window with a single server who takes orders from an intercom and also is the cashier
the standard IQ test has a mean of 98 and the standard deviation of 14. We want to be 99% certain that we are within the 4 IQ points of the true mean. Determine the required sample size.
Optain the academic standards for kindergarten for three states (available on state education websites). Compare the standards in a single category such as math or reading and describe how the standards are similar or different across the states.
Four people select a main dish from a menu of 7 items. How many choices are possible: If a record is kept of who selected which choice (as a waiter would)
Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal.
Given a=41degrees, B=101degrees, and a=30.1, approximate the length of side b in a triangle ABC. Given a=100degrees, B=30degrees, and c=110.3, approximate the length of side b in a triangle ABC.
The sentence below is a theorem of predicate logic. Show that it is by deriving it from the null set of premises. If any "individual" in the domain has a property, then every individual has it. I need help explaining this and with the derivation.
Write an equation that illustrates this situation. Use the same variables you used in Part a. c. Use elimination to determine how many houses are available in each floor plan. Explain how you arrived at your answer.
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