### Fahrenheit and standard deviation

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Probability : Normal Distribution and Z-Score

The temperature(at a randomly selected time) is normally distributed with mean 83 degrees Fahrenheit and standard deviation 5 degrees. Find the following probabilities: The probability that the temperature randomly selected time is between 78 and 88 degrees, the probability that the temperature at a randomly selected time is between 73 and 93 degrees, and the temperature at a randomly selected time is at most 85.

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 What volume will the balloon occupy : A 7.0 liter balloon at room temperature (22 degrees celsius) contains hydrogen gas. If the balloon is carried outside to where the temperature is -3.0 degrees Celsius. Calculate the company free cash flow : During the current year it reported net income of \$875,000. It had cash provided by operating activities of \$734,000, paid cash dividends of \$70,000, and had capital expenditures of \$280,000. Calculate the company's free cash flow. Explain is claim believable if standard deviation is given : Annually from tornadoes in the U.S.A. is less than 30. If a sample of 9 randomly selected years had a standard deviation of 29, is the claim believable? Use = .01? To understand the cognitive/moral stage : Put yourself in the role of parent, teacher and juvenile justice judge and then in each role identify why it would be necessary to understand the cognitive/moral stage from which a child is operating. What are the most important aspects these develop.. Fahrenheit and standard deviation : The temperature(at a randomly selected time) is normally distributed with mean 83 degrees Fahrenheit and standard deviation 5 degrees. Find the following probabilities: Question about prime numbers : There are infinitely many primes of the form n^2 - 1. Please list at least 4 of these primes. (I hope it is just as easy as I think, but is there any work to this?) Could this be accomplished by passive diffusion : In the human body, the potassium ion can pass easily through cell membranes, yet the potassium ion concentration is higher inside many cells than it is outside these cells. Could this be accomplished by passive diffusion? Explain your answer. Find the indicated function values : Please use synthetic division and the remainder theorem to find the indicated function values: How many expect to be heterozygous for allele a4 : In a sample from a grasshopper population, you find four alleles at a particular locus. The frequencies of A1, A2, A3, and A4 are p1= 0.50, p2=0.30, p3=0.15, and p4=0.05.

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