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A company that manufactures batteries for laptop computers has determined that the average lifetime of its batteries is 360 days with a standard deviation of 30 days. Assuming the lifetime of the batteries is normally distributed; determine the number of days that at least 95% of the batteries will last beyond.
The general manager of a construction company compiled the ages of 50 newly hired unskilled employees. The data is shown, what is the median age.
Consider the function f(X)=ln(x^2+1). Calculate the slope of the tangent line at the point (2,ln(5)) to two decimal places.
Let G be an undirected graph, and let T be the spanning tree genereted by a depth-first search of G. Prove that an edge of G that has no corresponding edge in T cannot join nodes in differect branches of the tree
A machinist can produce 114 parts in 6 minutes .At this rate , how many parts can the machinist produce in 15 minutes.
Important information about Initial value problems, Solve the initial value problems, Find the particular solution of the differential equation (dy/dx) + ycos(x) = 6cos(x) w/ y(0) = 8
You solution must contain all work necessary to solve the problem. In addition, you must include complete explanation of your reasoning and the explanations of the steps you took toward the solution.
A homeowner wants to enclose a 5,800 square feet rectangular garden by a fence in his backyard. If three sides of the fence cost $6.25 per foot and 4th side costs $10.25 per foot,
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 10-x^2. What are the dimensions of such a rectangle with the greatest possible area?
Use the branch of the logarithm given by 0
What is the loss per share of a stock that was bought for $425/8 per share and later sold for $37: per share?
Rational and Jordan Canonical Forms, Find the rational canonical form and the Jordan canonical form(if possible) for the linear tansformations f: R^3->R^3 given by the matrix
Use mathematical induction to solve the equation.
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