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let f(x) =modulus x^3.Compute f'(x),f"(x),for all real x,and show that f"'(0) does not exist
A100 page book is known to have 200 printing errors distributed randomly through the pages.The probability that one of the page will be found to be completely free of errors is?
Gunpowder contains 75% nitrite 15% charcoal and rest sulphur find the amount of sulphur in 9 kg of gunpowder
Tony and Yvette are planning to invest some of their savings in bonds. They went to a bank to talk to their investment advisor and they were given two investment options on bonds: the first type of bond pays a 6% interest but with a 3% default rate while the second type pays interest at a rate of 5% with a defaul rate of 2%. In case of a bond default, all the money invested in bonds will be lost. Let X be the returns on the first bond and let Y be the returns on the second bond. Tony and Yvette plan to invest P200,000 of their savings in bond.

a.) find the expected values of X and Y
b.) based on the resukts in (a), which bond should tony and yvette invest in?
Find the largest rectangle that can be inscribed in a given circle with radius of 12 ft.

Aguitar with trapezoidal cross section is to be made from a long sheet of stainless steel that is 30 cm wide by turning up one fourth of the width in each side. What width across the top will give the max cross-section area?

my assignment in calculus
Let T be a random variable giving the number of heads in three tosses of a coin.list the elements of the sample space S for the three tosses of the coin and assign a value to each sample point.
given <BCA =<DCE
<B and < D are right angles
C is the midpoint of BD
prove BA=DE
let t be a random variable giving the number of heads plus the number of tails in three tosses of a coin.list the elements of the sample space s for the three tosses of the coin and assign a value to each sample point.
make p the subject of the relation A=1/2(p+b)h
A sample of n=25 scores is determined to have a standard error of 2 points. What is the standard deviation for the population from which the sample was obtained?
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