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Find the area between f(x)=x²+4x and g(x)=x²-6x+5 over the interval 0 less or equal to x or x is less or equal to 1


Determine the moment vector m about the origin, o, of a force f= 10i-j+2k passing through the point with position vector r=2i-3j+5k


It has been found that the average time internet users spend online per week is 18.3 hours.



A random sample of 48 teenagers indicated that their mean amount of internet time per week was 20.9 hours with a population variance of 32.49. At the 0.02 level of significance, can it be concluded that the mean time differs from 18.3 hours per week?

Let X, Y, Z have joint probability distribution function





f(x , y , z) = { k(x^2+ yz), 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1



0, elsewhere





Find



(i) the value of k.



(ii) the conditional expectation of Z given X= x,Y= y

Is " Grade Point Average" discrete or continuous?

recent study by the American Accounting Association revealed among 30 graduates in accounting 20 students graduating with a major in accounting select public accounting. Suppose we select a sample of 15 recent graduates.What is the probability that exactly two select public accounting?





Use substitution rule to integrate



1.) Integral x³(x⁴+16)³dx



2.) Integral 3x²(x³+5)⁷dx



3.) Integral x³/√1-x⁴ dx



4.) Integral sin x/(cos x)³ dx



Deadline May 9 2022



Hope i will get full explanation to how you solve this, because i need the understandable, because i am absent in that class, thanks bro.

the editor of publishing company claims that the mean time to write a novel is 16 months.Forty randomly selected authors of novel said it is more than 16 months.Each of them said it take 18 months to write a novel.Provide the parameter,hopotheses and type of test

a cube with edge length of 10 cm is inscribed in a sphere, what is the diameter of the sphere?


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