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Question: a. How many integers from 1 through 1,000 are multiples of 4 or multiples of 7?
b. Suppose an integer from 1 through 1,000 is chosen at random. Use the result of part (a) to find the probability that the integer is a multiple of 4 or a multiple of 7.
c. How many integers from 1 through 1,000 are neither multiples of 4 nor multiples of 7?
Suppose that a large family has 14 children, including two sets of identical triplets, three sets of identical twins, and two individual children.
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Q is epi in the category of rings. (ii) Show that kernels are monic and are unique up to isomorphism. (iii) In Groups, show that monics are injections and kernels are monics with normal image. What are epis and cokernels?
The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the cos..
the wood county sheriff classifies crimes by age in years of the criminal and whether the crime is violent or
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The hypotenuse of a 30°-60°-90° triangle is shown below. Find the length of each leg. (Round your approximation of radical expression to the nearest hundredth).
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Problem 1: Find the average rate of change of the function over the given interval.
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