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Explain the Pythagorean Theorem, its proofs and applications.
if there are currently 45 heavy lifters at factory a and company increases it's fleet by 60% , how many total lifters will be at factory a and factory b after they are redistributed
1. Evaluate the limit by first recognizing the sum as a Reimann Sum for a function defined on [0,1] limit as n tends to infinity 1/n (the root of 1/n + root of 2/n + root of 3/n +....+ root of n/n)
2. If f prime is continuous on [a,b], show that 2* the integral from a to b of f(x) f prime(x) dx= f(b) square minus f(a) square.
Q:
A couple wishes to replace the carpeting in their master bedroom. Their master bedroom measures 24 ft by 16 ft. If carpeting is sold by the square yard, how many square yards of carpeting are needed?
Company XYZ prepares this for jam, which are labeled to have a mass of 500grams. During the preparation the tins are set to have mean mass of 550grams with standard deviation 20 grams. One tin is selected from a large batch containing 100 and is mass is 500grams. Assuming the masses are normally distributed, test whether the mass of this tin is significantly different from 550 grams at 5% level of significance
For the a Poisson random variable x generating function G(t)= exp^lambda(t-1) show that the expected value E(x) and variance (x) are given by lambda and lambda respectively.
A research conducted on a certain company last year showed that 25% of the employees would rather drink coffee than soft drinks during break time. Which choice best represents a parameter? *
During Science experiment, Rony brought 0.15 grams of salt, Rey brought 0.5 grams and Jon brought 0.25 grams. How many grams of salt did they bring in all?
Use apsolen delta definition to show that lim x approches to -2 for f(x) 1÷x+1=-1
Solve the differential equation
(x² + y²)dx-xydy = 0
