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The dimensions of a rectangle are such that its length is 7 in more than its width. If the length were doubled and if the width were decreased by 3 in, the area would be increased by 114 in^2. what are the length and width of the rectangle?
Compute the centripetal force acting on the body.
Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
Calculating The Probability For a Normal Random Variable. The ages of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One women is randomly selected from the group, and her age is observ..
Probability : Bayes' Theorem, In a survey, it is found that 10 boys out of hundred are in favor of selecting their life partners themselves without any interference by their parents. Where as only 20 girls out of 500 hold this view.
Discuss the Weierstrass Approximation Theorem. When would you use this theorem? Are there other options for solving these types of problems besides the Weierstrass Approximation Theorem?
Suppose three fair coins are flipped. Find the probability for each of the following events. Exactly two coins are tails.
how many different finishes among the first three places are possible for a ten-horse race? How many ways can a three-person subcommittee be selected from a committee of seven people?
In furnishing their new office space, a company allows each employee to select a desk, a chair and a bookcase or file cabinet based on personal preference. There are two desk models, 3 different chairs, 2 styles of file cabinet and 4 bookcase styl..
A ladder leans against a vertical wall.When the foot of the ladder slides 5cm to the left, how far does the top of the ledder move vertically ?
One tire manufacturer found that after 5,000 miles, y=32 of n = 200 steel-belted tires selected at random were defective. Find an approximate 99 percent confidence interval for p, the proportion of defective tires in the total production.
Is the surface integral of a closed surface (for example the surface is the cylinder x^2+y^2=9 between the planes z=0 and z=2, together with the top and the bottom) supposed to be 0?
Use Fermat's Little Theorem to compute 3^302 mod 5, 3^302 mod 7, and 3^302 mod 11. Use your results to find 3 ^ 302 mod 385
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