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(1 point) The following table gives information on the amounts (in dollars) of electric bills for August 2009 for a sample of 50 famlies. \table[[Amount of Electric Bill (dollars),Number of Families],[0 to less than 40,4],[40 to less than 80,21],[80 to less than 120,13],[120 to less than 160,8],[160 to less than 200,4]] Estimate the mean, variance, and standard deviation. Note: Keep a minimum of 2 decimal places in your final answers when rounding. a. The mean = â—» b. The variance = â—» c. The standard deviation = â—»

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moving along a demand curve, quantity demanded increases 21 percent when price increases 7 percent. The absolute value of price elasticity of demand is calculated to be

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Letter A indicates which part of the DNA model? Question 8 options: Phosphate Purine Nucleotide Pyrimidine Deoxyribose

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(a) A copper bullet has a velocity that is \( 90 \% \) of the speed of light. If the wavelength of the copper bullet is \( 1.5 \times 10^{-3} \mathrm{pm} \), calculate the mass of the copper bullet. [ 6 marks]

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True or False: If the taxpayer who may claim a child on a tax return chooses to allow another to claim that child, they must sign a release of claim to an exemption. Select one a. FALSE b. TRUE

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Create a decryption function that accepts the private key, N and a ciphertext c and outputs the message m. (15 points)

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Comparing perfect competition to monopoly, in the long run ___. Group of answer choices perfectly competitive firms will have an economic loss, but monopolists will have an economic profit they both may break even perfectly competitive firms will have an economic profit, but monopolists will break even they will both earn an economic profit

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Why was Sumerian technological development dependent on trade? Mesopotamian artisans needed expertise from Egypt to develop their skills. The irregular flooding of the Tigris and Euphrates rivers made it difficult to develop technologically. Mesopotamia lacked raw materials for textiles, so it had to import wool. Mesopotamia lacked metal ores, so Sumerians imported copper ore to make tools and weapons.

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15) The Golgi apparatus refines and processes protein makes protein is the site of photosynthesis is part of the nucleus makes ATP

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A survey is conducted among second graders at a certain school, about the classes they go to in the afternoon. It turned out that 5% go to ballet, Judo, and sculpturing. 15% go to ballet and Judo, 30% go to sculpturing, 60% go to ballet or Judo, and 20% go to sculpturing and at least one of the Judo and ballet classes. A second-grade student was randomly selected. We will define the following random variables: X - the number of classes (among Judo, ballet, and sculpturing) to which the student goes. Y - receives the value 1 if the student goes to sculpturing class and 0 otherwise. A. Find the joint probability function of X and Y and the marginal probability function. B. Are X and Y uncorrelated? Are they independent? C. It is known that the student goes to a sculpturing class. What is the probability that he goes to exactly one more class between ballet and Judo? D. It is known that the student goes to at least one of the ballet and Judo classes. What is the probability that he does not go to sculpturing class?

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