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Solve (p + q)(px + qy) = 1, using Charpit’s method.

Solve:


x².d²y/dx² -x.dy/dx +y=ln x

Transform the general equation of circle : x2 + y2 + 4x - 2y -11 =0 to its standard form or center-radius form. After transforming , identify the center and the radius then sketch the graph in the Cartesian coordinate plane .

1.   A recent study reported that an estimated 70% of professionals in IT have considered moving to U.S to earn a higher salary. The report further stated that this estimate is considered accurate within three percentage points, and correct 19 times out of 20.

a.   Is the 70% a statistic or a parameter?

b.   Is the 3% a standard error or a margin of error?

c.   Explain what the phrase “19 times out of 20” means?



How can I draw a normal curve with a mean of 60 and a standard deviation 12?

A meeting of consuls was attended by 4 Americans and 2 Germans. If three consuls were selected at random, construct the probability distribution of the random variable G representing the number of Germans

In a National Achievement Test, suppose three test booklets are tested at random. Let D represent the defective test booklet and let N represent the non-defective test booklet. Let X be the random variable representing the number of non-defective test booklets


Illustrate the probability distribution if X is the random variable that represent the number of recoveries

. 1. Let D = {3, 9, 15}, E = {3, 15, 9}, F = {3, 3, 9, 15, 15, 15}. What are the elements of D, E, and F? How are D, E,         

   and F related? 

   2. How many elements are in the set {1, {2}, [1, 2}}?

  3. For each positive integer p, let Bp = {p2, p3,]. Find B1, B2, and B3.


give me the answer of variance and standard deviation of P(3)=7/30 P(5)=1/3 and P(7)=13/30 by following the steps


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