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Question: Given triangle ABC. If triangle ABC is congruent to triangle BAC and triangle ABC is congruent to triangle ACB. What conclusions can be drawn about triangle ABC? Explain your reasoning?
The Phillies were accused of cheating their beer customers by not putting enough beer in their 12 oz cups. When 15 cups were selected at random , they were found to have a mean of 11.7 ounces with a standard deviation of 0.5 ounces.
A set A is call a partially-ordered set if there is a relation R on A such that R is reflexive and transitive. If A is any set, prove that the power set P(A) is a partially ordered set under the relation "is a subset of".
Let α be an irrational number with continued fraction expansion [α0, α1, ...]. Show that the continued fraction expansion of -α is
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.5 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall?
Let X be a set of finite (positive) measure. Let C be the collection of all finite subsets of X and their complements in X. Is C an algebra of sets? Is C a σ-algebra? Explain.
analyzing the use of large samples in surveys.give your understanding of why people doing polling and opinion surveys
Find the number of hours that represent the 40 percentile.
If the total number of fax machines demanded per month does not exceed 3100 and the company has earmarked not more than $374,000/month for manufacturing costs, how many units of each model should National make each month in order to maximize its m..
If the population mean is 36, are the serial killers significantly more introverted at the .05 level? Perform the appropriate one-tailed test.
A rectangular storage container with a lid is to have a volume of 16 m3. The length of its base is twice the width. Material for the base costs $8 per m2. Material for the sides and lid costs $16 per m2. Find the dimensions of the container which ..
Two balls are randomly chosen from an urn containing 8 white, 4 black, and two orange balls. Suppose that we win PHP 2.00 for each black ball selected and we lose PHP 1.00 for each white ball selected. Let X denotes our winnings. What are the poss..
A 20-ft ladder is leaning against a building. If the base of the ladder is 6 ft from the base of the building, what is the angle of elevation of the ladder? How high does the ladder reach on the building?
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