Directions: Read, analyze, and solve the problems below. Show your complete solutions. 1. There are 250 dogs at a dog show that weigh an average of 12 pounds, with a standard deviation of 8 pounds. If 4 dogs are chosen at random, what is the probability that the average weight is greater than 8 pounds? 2. The average number of pages in a novel is 326 with a standard deviation of 24 pages. If a sample of 50 novels is randomly chosen, what is the probability that the average number of pages in these books is between 319 and 331? 3. The number of driving miles before a certain kind of tire begins to show wear is on the average, 16,800 miles with a standard deviation of 3,300 miles. a. What is the probability that the 36 tires will have an average of less than 16,000 miles until the tires begin to wear out? b. What is the probability that the 36 tires will have an average of more than 18,000 miles until the tires begin to wear out?

Q: Use traces to sketch the surface: x² = 36y² + z²

A: Given surface :Use the traces to sketch the given surface

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Q: 3. Use IVT to show the following. (a) f(x) = a² – 4 has a zero on [-3,-1] (b) f(z) = x² – 81 has a…

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Q: x +y+ 5z = 0 Solve 2х — у + z %3 0 %D a. (4, 6, –2) b. (-2t, 0, t) c. (-2t, -3t, t)

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Q: 3 3 = 0, then x = ? Зх — 8 13. If 3 Зх - 8 3 3 3 3x – 8|

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Q: Please explain the solution in a clear manner, step by step.

A: To evaluate the required quantities to the desired accuracy

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Q: for all x E R. n! n=0 Consider e" = a. Determine the power series representation of f(x) = xe-5æ for…

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Q: Suppose that the joint CDF of the random variables X and Y is given by: 0, x < -2 or y < -5

A: Given that Consider, the density function,

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A: Please find attachment for the details solution

Q: can you write the equation and graph it?

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Q: 1. Find the margin of Error E: a. n= 10, s = 4.0, 90% confidence b. n= 16, s = 4.2, 95% confidence…

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Q: Please explain the solution in a clear manner, step by step.

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.