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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. Prove: A∪B∪C=A∪(B∪C)
2. Prove: A∩B'=A'∪B'
3. Given nU=692, nA=300, nB=230, nC=370, nA∩B=150, nA∩C=180, nB∩C=90, nA∩B'∩C'=10 where n(S) is the number of distinct elements in the set S, find:
a. n(A∩B∩C) c. n(A'∩B'∩C')
b. n(A'∩B∩C') d. n((A∩B)∪(A∩C)∪(B∩C)
4. Show that total number of proper subsets of S={a1,a2,… an} is 2n=1.
5. Show that multiplication is a binary operation on S={1,-1, i, -i} where i=-1.
6. Show that “is a factor of” on N is reflexive and transitive but is not symmetric.
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
