The height of the water of an above ground pool is 3 feet. it needs to be drained completely. the height of the water changes at a rate of -1/2 per minute. how many minutes will it take to drain the pool? (use 'm' to represent minutes and also write equation to represent it < 3)

Scores on a university exam are normally distributed with a mean of 78 and a standard deviation of 8. the professor teaching the class declares that a score of 70 or higher is required for a grade of at least “c.” using the 68-95-99.7 rule, what percentage of students failed to earn a grade of at least “c”?

Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)