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Suppose that the amount of time that a battery functions is a normal random variable with a mean of 400 hours and a standard deviation of 50 hours. If two batteries are randomly picked with the intention of using one as a spare to replace the other if it fails, (a) what is the probability that the total life of both batteries will exceed 760 hours? (b) what is the probability that the second battery will outlive the first by at least 25 hours?
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?
A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs $1 per square inch.
Solve a numerical method - Euler methods and Compare with the exact solution
A buoy oscillates in simple harmonic motion y = A cos omega(t) The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds.
Find the difference in the average number of people
Write a goal equation that represents the fluctuations in the production level from May to June, June to July, and July to August.
Find whether the given expression is a function or not - Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions.
A point on the bank directly across the river is sighted from another point 200 feet downstream at an angle of 67° 13' . Find the width of the river.
Find a function that relates dollars to Euros, find a function that relates Euros to yen and what is g(f(1000))?
Starbucks cashiers take thousands of orders each day. Samples of the accuracy in the orders are listed below. One hundred orders taken by each cashier were carefully examined and the number of errors counted.
Determine the intervals on which 'f ' is concave up and the intervals on which 'f ' is concave down. Find the values of all local minima and local maxima of 'f '. Explain why each value you find is a minimum or a maximum.
A restaurant manager has 2 liters of white wine that is 12% alcohol. How many liters of grape juice should he add to get a drink that is 10% alcohol?
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