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What is the variance of the following given sample of daily travel expenses of audit staff: 130, 50, 90, 80, 70, 125, 180, 80, 110?


Suppose that the thickness of a part used in a semiconductor is its critical dimension and that the process of manufacturing these parts is considered to be under control if the true variation among the thicknesses of the parts is given by a standard deviation not greater than σ = 0.60 thousandth of an inch. To keep a check on the process, random samples of size n = 20 are taken periodically, and it is regarded to be “out of control” if the probability that S2 will take on a value greater than or equal to the observed sample value is 0.01 or less (even though σ = 0.60). What can one conclude about the process if the standard deviation of such a periodic random sample is s = 0.84 thousandth of an inch?


Show that transformation 𝑇:𝑅

2 → 𝑅

2 defined by 

𝑇(𝑥, 𝑦) = (𝑎𝑥 + 𝑏𝑦, 𝑐𝑥 + 𝑑𝑦),


0.032 divided by 96


. Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 − 2xy + y2, (1, 5, 16) with maple lab please


A mortgage of 665,000 is amortized over 25 years by makind end of month payments of 3560.



What is the annual rate of interest compounded semi annualy?



What is value of final payment?



What is the total interest cost for the debt over 25 years?

1. P(x) = ײ+11× + 24; p (-3). Find each function value


The municipality of kirkland borrowed 130000 to build a recreation center. The debt principal is to be repaid in eight years, and interest is at 10.5% compounded annually is to be paid annually with end of year payments. To provide for the retirement of the debt the municipal council set up a sinking fund into which equal payments are made at the time of annual interest payments. Interest earned by the fund is 8% compounded annually.



What is annual interest payment on debt.



What is the annual payment into the sinking fund?



What is the total annual cost ( the periodic cost) of the debt?



Compute the book value of the debt after two years.



Compute the interest earned by the fund in year 5.

Six sales representatives for a company are to be chosen at random to participate in a training program. The company has twelve sales​ representatives, two in each of six regions. What is the probability that the six sales representatives chosen to participate in the training program will be from only three of the six ​regions?


Expand and simplify

a) (x+3)(x+6)         b) (x + 6)^2


Given the quadratic relation y = x^2 + 24 - 15


find the maximum or minimum value or the quadratic relation y = *7 + 8x + 15


Find the zeros of the quadratic relation y = x2 + 7x - 18


The curve formed by a rope bridge can be modeled by the relation y = x2 - 11x + 10, where "x" is the horizontal distance in metres and "y" is the height in metres. What is the horizontal distance from one end of the bridge to the other end?


Please show how you got the answer and make it is right

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