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A sample of 60 bolts is taken at random from a production line. The measurements of their diameters (in mm) are:
1.94 2.06 2.15 1.99 2.00 2.07 2.10 2.12 2.18 2.012.03 1.97 1.97 2.06 2.04 2.02 2.02 1.99 2.00 2.022.05 2.09 1.95 2.16 2.07 1.98 2.02 2.04 2.00 2.201.91 2.04 2.02 2.30 2.20 2.20 1.96 2.11 2.15 2.232.11 2.08 1.99 1.90 2.05 2.03 2.12 2.01 2.09 2.142.21 1.96 2.14 2.58 2.14 2.02 2.02 2.14 2.16 2.09
Compile a grouped frequency distribution for these data.
Obtain (generate) a random sample of 180 numbers between 1 and 60. You may use a calculator, excel, or a table of random numbers to achieve this. Use your sample to answer the following questions.
A metal storage tank with a mximum volume of 1200 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
assuming that there is no damping and that the has is aced on by an external force of 2 cos3t lb, formulate the initial value problem describing the most ion of the mass.
Of the students at a certain college, 50% regularly attend the football games, 40% are first-year students, and 40% are upper-class students who do not regularly attend football games. Suppose that a student is selected at random.
A 9kg mass on a slope which is at an angle of 15 degrees is attached via a an inextensible string over a fixed, frictionless pulley to a 5kg mass.
Find the surface integral (double integral over S) E dot dS, where S is the cylinder, x^2 + y^2 = 4, z is greater than or equal to 2 and less than or equal to 5, and the vector field F is F(x, y, z) = (0, 0, z^2)
Kate and John buy a block of land for $140,000 by paying $10,000 deposit and then taking out a loan for the remainder. The loan will be repaid with quarterly instalments over 15 years with interest at j4 = 7.7%.
A motorboat can maintain a constant speed of 43 miles per hour relatuve to the water. The boat makes a trip upstream to a certain point in 52 minures; the return trip takes 34 minutes. What is the speed of the current?
(Management wants to ensure that only 1% of cans are under-filled.) Scenario 1: If the mean fill of the cans remains at 12.1 ounces, what standard deviation does the filling machine need to achieve this goal?
Finding coefficient
If the marble selected is white, then what is the probability that a flip resulted in a head?
What year is it in Japan right now. This is a Math question and I believe it has something to do with with change in Calendar systems and the fact Japan drops a month.
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