Mathematics, 02.03.2020 20:50 jadieb63
The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown population mean. If a random sample of 24 text messages is taken and results in a sample mean of 27 characters, find a 99% confidence interval for the population mean. Round your answers to two decimal places. z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576 You may use a calculator or the common z-values above.
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Mathematics, 21.06.2019 22:30
Write the equation of a line that is perpendicular to the given line and that passes through the given point. β3x β 6y = 17; (6, 3) y = x β 9 y = 2x β 9 y = β2x β 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y β 5 = (x β 1). the relationship is not linear. the relationship is linear; y β 5 = (x β 1). the relationship is linear; y β 1 = (x β 5). write an equation in point-slope form for the line through the given point with the given slope. (β10, β1); m = y + 10 = (x + 1) y β 1 = (x β 10) y β 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | β 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x β 5.5 | y = | x | β 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | β 8 y = | x | + 8 y = | x β 8| y = | x + 8|
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Mathematics, 21.06.2019 23:30
Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.
Answers: 1
The lengths of text messages are normally distributed with a population standard deviation of 4 char...
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