In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5. 5 days. One length of gestation had a z-score of â€"1. 70. Which of the following sentences best interprets this z-score? The length of this gestation period was longer than the mean length of gestation periods by 1. 7 days. The length of this gestation period was shorter than the mean length of gestation periods by 1. 7 days. The length of this gestation period was longer than the mean length of gestation periods by 1. 7 standard deviations. The length of this gestation period was shorter than the mean length of gestation periods by 1. 7 standard deviations.

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Asurvey of 45 teens found that they spent an average of 25.6 hours per week in front of a screen (television, computer, tablet, phone, based on the survey’s sample mean, which value could be the population mean? 2.3 hours 27.4 hours 75.3 hours 41.5 hours

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.