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find the length of the room if the cost of carpeting 24 m broad room with 150 cm wide carpet at Rs.16 per metre is Rs.3840.
Find the solution of the differential equation
Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An. Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for al..
At a basketball game, a vender sold a combined total of sodas and hot dogs. The number of sodas sold was more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
One mean z test
Using the washer method, find the volume of the solid generated when the region bounded by the curves y=(square root of)x and y=x^2 is revolved about the x-axis.
Determine the safe load in pounds of a beam made from the same material if the beam is 105 in. long.
In her wallet, Susan has 12 bills. 6 are $1 bills, 2 are $5 bills, 3 are $10 bills, and 1 is a $20 bill. She passes a volunteer seeking donations for the American Red Cross and decides to select 1 bill at random. Determine
Estimate the mean fill amount of a certain bottle-filling machine to within 0.05 liter. Assume that the population standard deviation is 0.17 liters. How large of a sample is needed to estimate the mean with 95% confidence?
Determining if null hypothesis will be rejected for given test statistics, State whether the standardized test statistic χ2 allows you to reject the null hypothesis for a two-tailed test with χ2 = 8.907
How draw a infinite long cylinder perpendicular to xy-plane by Mathematica ? I do not know how to express the range of z in the code.
If the bottom of the ladder slides away from the wall, how fast does x change with respect to theta when theta = pi/3
The base of an aquarium with volume V = 215 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
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