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1. A large batch of electric light bulbs have a mean time to failure of 800 hours and the standard deviation of the batch is 60 hours. Determine the probability that the mean time to failure of a random sample of 16 light bulbs will be between 790 hours and 810 hours, correct to three decimal places.
2. A closed cylindrical container has a surface area of 400 cm2, determine the dimensions to give the maximum volume.
3. A rectangular sheet of metal having dimensions of 28cm by 10cm has squares removed from each of the four corners & the sides bent upwards to form an open box. Determine the maximum volume
The number of parks, y, being built in a city is a linear function of time, x, and is graphed on a rectangular coordinate system. Write a paragraph describing your interpretation when the slope is positive
Construct a 90% confidence interval for the population proportion p of all Twinkle bulbs.
Find the slope of the line that passes through the points (2, 3) and (5, 8). Find the equation of the line that passes through the points (3, -2) and (4, -2). Find the equation, in standard form, with all integer coefficients, of the line perpendicu..
Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) with the initial conditions a(0)=0 and a(1)=2. Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) +12 with the initial conditions a(0)=0 and a(1)=2.
Use logic to write the negation of the sentence: All the participants of this course are IT majors or are Math majors. (Use the basic logic laws.)
What is the value of the coefficient of determination for this regression model? Comment on the strength of the regression line for this model.
Consider a normal population with µ = 25 and Ï? = 8.0. Calculate the standard score for a value x of 23. Calculate the standard score for a randomly selected sample of 45 with X(line on top)= 23.
Use Delta t = 0.2 to estimate the distance that the bug crawls during this hour. Find an overestimate and an underestimate. Then average the two to get a new estimate.
What is the maximum profit if each item is sold for 10 dollars? (Assume you sell everything you produce.)
If the solution entering the tank is 20% nitric acid, determine the volume of nitric acid in the tank after t minutes.
Probability : Expected Values and Probability Distributions - According to an automobile manufacturer, the company uses 3,000 lock-and-key combinations on it's vehicles
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.
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