Other Math Answers

Question 2 (hint: distribution of sample means). You know about a group of 100 students who visited Huckleberry farm and were told to pick their pumpkins at random. In the end, they collected a sample of 100 pumpkins, with a sample mean weight of 16.5 pounds. What is the percentile of this sample of pumpkins? What does this percentile mean? (i.e. interpret). *Make sure to show your calculations, round to 2 decimals, and don’t forget your interpretation.

A gold mine had two elevators, one for equipment and one for miners. One day, the equipment elevator begins to descend. After 28 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 14seconds? At that time how much deeper is the elevator for the miners

The velocity distribution for flow over a flat plate is given by u = 3/2 y - y^(3/2) , where u is the point velocity in metre per second at a distance y metre above the plate. Determine the shear stress at y = 9 cm. Assume dynamic viscosity as 8 poise.

A plate 0.025 mm distant from a fixed plate, moves at 50 cm/s and requires a force of 1.471 N/m^2 to maintain this speed. Determine the fluid viscosity between the plates in the poise.

Determine the intensity of shear of an oil having viscosity = 1.2 poise and is used for lubrication in the clearance between a 10 cm diameter shaft and its journal bearing. The clearance is 1.0 mm and shaft rotates at 200 r.p.m.

Find the kinematic viscosity of an oil having density 980 kg/m^2 when at a certain point in the oil, the shear stress is 0.25 N/m^2 and velocity gradient is 0.3/s .

Let us denote Sn = a^n + b^n + c^n for arbitrary numbers a, b, c. It is known that S1 = 8,5, S2 = 74,25, S3 = 639,625 for some values of a, b, c. What is the largest possible value of S^2(base'811') - (S810)(S812) ?

Let a1, a2, a3, a4, a5 be an arithmetic progression with common difference d such that cosd = √0,6. Find cos^2(a3) given that tga1tga2 + tga2tga3 + tga3tga4 + tga4tg5 = 11.

Let 21 - 16sin^2(x) + 8cosx / 16cos^2(x) - 29 - 8√15sinx = 2. Find the largest value of 7cosx.

Kate drew a 41 x 41 checkered square (lattice) on the asphalt with white chalk (i.e. there are 42 horizontal segments and 42 vertical segments drawn). By one move it is allowed to pick out an arbitrary square (of any size) and repaint its boundary using a chalk of blue colour. In different moves it is allowed to repaint any segment more than once. What is the smallest number of such moves required to repaint all the initiat lines in blue colour?