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A fence 4 feet tall runs parallel to a tall building at a distance of 5 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
A research shows that employee salaries at company XYX, in thousands of dollars, are given by the equation y-hat= 48.5 + 2.2 a + 1.5 b where ‘a' is the years of experience, and ‘b' is the education level in years.
Normal distribution with mean and variance
A plane flying with a constant speed of 240 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate is the distance from the plane to the radar station increasing a minute later?
A salesman drives from Ajax to Barrington, a distance of 133 mi, at a steady speed. He then increases his speed by 15 mi/h to drive the 185 mi from Barrington to Collins. If the second leg of his trip took 15 min more time than the first leg, how ..
the base of a triangular field is three times its altitude. If the cost of sowing the field at rs 58 per hectare is rs 783 ,find its base and height.
Write the equation of the trend line. Do the scores support an increasing or a decreasing trend?
That is, the next 10 feet will cost $125, the next 10 feet will cost $150, etc. How much will it cost to build a 90 foot tower?
Please show a detailed solution to this problem. Pleas show the curve and vectors together in a sketch. Find the unit vectors that are tangent and normal to the curve at the given point:
Probability : Counting Principle, A social security number has 9 digits. How many different S.S numbers are possible if:
Analysis of variance tests
Let u = [2,1,1]^T, v = [1,3,2]^T (i.e. they are column vectors). Caclulate v^Tu and uv^T. Show that u is an eigenvector of the matrix uv^T and calculate its eigenvalue.
What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced, as well as three and four machines?
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