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Question: A combination lock requires three selections of numbers, each from 1 through 30.
a. How many different combinations are possible?
b. Suppose the locks are constructed in such a way that no number may be used twice. How many different combinations are possible?
In photography fixed focal length means that the focal length is not adjustable. Photographers are unable to zoom in and out on a particular subject when using such a lens. Not being able to easily zoom in on a subject might seem like a huge disad..
Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
Verify that y1(t) =(1/(t^3)) and y2(t) = (ln(t))/(t^3) are solutions to (t^2)y''+7ty'+9y = 0, t>0. Do y1, y2 for a fundamental set of solutions? Give a reason for your answer and show all steps.
Find an equation for the trend line using the method of least squares.
If maximizing profit and producing beer mugs and champaign glasses. with profit of R25.00 for beer mugs while for champaign glasses is R20. The cups are manufactured with a machine which feeds on plastic resins.
find the demensions of the fence that will maximize the area. What is the maximum area?
Given that a widget was produced by the new machine, what is the probability it is not defective?
Assuming we are sampling without replacement (that is, we don't replace the first coin before taking the second) write down the sample space of all ordered pairs of letters P, N, and D that represent the outcomes. What would you say are the approp..
If A has linearly independent columns, then left-multiplication by a sequence of elementary reflectors can produce an upper triangular matrix.)
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
What is the arc length of a sector a circle with a central angle of π/7 radians and a radius of 12 inches? Round answer, 2 de. Places.
Show the similarities between dividing two fractions and dividing two rational expressions using examples of each; Explain your steps.
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