12. Find the equation of the circle given the center is (-2,6) and the diameter is 18 A (x+2)^2+(y-6)^2=324 B. (x-2)^2+(y+6)^2=81 C. (x+2)^2+(y-6)^2=81 D (x-2)^2+(y+6)^2=324

Louis rolls a biased dice 100 times. The probability that he will roll a 4 is (2)/(5) The probability that he will roll a 5 is 0.23 How many more times would you expect Louis to roll a 4 than a 5 ?

Which is greater 30%" of "420" or "20%" of "640" ? "

Write 56000000 in standard form. xx10

A. DIRECTIONS: Read the excerpt below. Then, answer the questions by writing the letter of the correct answer for each on the line. (1) No one expected Hillary to rise to fame. (2) She was raised in a very poor, very rough neighborhood where people had few opportunities. (3) It was certainly no Garden of Eden, but there were plenty of serpents to avoid. (4) Hillary avoided trouble, focused, worked hard, and like every actor, experienced a bit of good luck. (5) Dressed in a gown and accepting her Oscar, she recalled her humble origins and those who believed in her. qquad In which sentence does the writer include an allusion? a. sentence 1 b. sentence 2 c. sentence 3 d. sentence 4 qquad What type of allusion is used in the sentence you identified in question 1 ? a. literary b. cultural c. Biblical qquad What is the most likely reason that the writer included the allusion? a. to show Hillary was undeserving b. to dramatize Hillary's rise to fame c. to applaud Hillary's talent B. DIRECTIONS: Read the excerpt below. Then, answer the questions that follow. (1) Pete's early success in the stock market gave him confidence. (2) His friend and fellow investor, Marcus, wamed him not to think his system would always pay off. (3) Marcus told Pete, 1 also had early success, I got too confident and too greedy, and I made too many risky investments. (4) I thought I couldn't lose, but I did lose. (5) As a matter of fact, I lost almost everything. (6) Don't do what I did and make the same mistake." (7) But Pete was like Icarus. (8) He ignored Marcus's words and continued to risk larger and larger amounts of money on riskier stocks. (9) When the crash came, Pete lost everything and found himself in bankruptcy court. qquad In which sentence does the writer include an allusion? a. sentence 2 b. sentence 4 c. sentence 5 d. sentence 7 qquad What type of allusion is used in the sentence you identified in question 1? a. mythological b. cultural c. Biblical qquad Which group of readers is more likely to understand the allusion you identified in question 1? a. young children at the library b. readers with a high school education Why might the writer of the passage have chosen to include the allusion you identified in question I? Use details from the passage in your answer.

A Statistical Study about:-"Family Size, Monthly Income & Expenditure of Households in DDA" Consus Survey: The 2010EC Survey of the DDA found that the Average Monthly Income(MI) & Monthly Expenditure(ME) of the Household(HH) in DD City were respectively: mu_(MI)=Br 10,000 & mu_(ME)=Br 8,500 SURVEY Assignment "What is the Average Monthly Income & Expenditure of Households in DD City?" NOTE: This year, 2016EC, there are about 500,00 Peoples are living in the city and the total number of Households DD City also estimated to 120,000 . A Student Statistician who is Learning Business Statistics wants to answer the above question by estimating the Monthly Income ( bar(x)_(ML) ) and Monthly Expenditure ( bar(x)_(ME)) of the households. However, because of lack of time and money, the student statistician used Cluster Sampling Method and collected data only from 15% of the total households. The Result of the Analysis of Sample Data shows that that: The Average MI of Sample HH is bar(x)_(I)=B irr 13,500, & its Standard Deviation sigma_(I)=1,200 The Average ME of Sample HH is bar(x)_(E)=B irr 12,500 & its Standard Deviation sigma_(E)=1,200 ✓ Then use the above information to Answer the following Questions: fro PART I: SHORT ANSWER: Then use the above information to Answer the following The Population of the survey is The Total Population Size of the survey is The Sample Size of the survey is The Study Unit is/are The Sampling Unit of the Study is The Sampling Fraction {:(K=K=(N)/(n))) of the Study is The type of Sampling Technique the student Statistician used is possibly Is this Survey Assignment, carried out by a Student a Census Survey or Sample Survey? Between 2010 EC & 2015 EC the MI of the Sample HH increase by ◻ Birr Between 2010EC & 2015EC the ME of the Sample HH increase by ◻ Birr Between 2010EC and 2015EC the Average MI of the Sample HH increase by ◻ % Between 2010EC and 2015 EC the Average ME of the Sample HH increase by ◻ % Between 2010EC and 2015EC , which increases greatly, the M or ME of the Sample HH? ◻ Is this Survey Assignment, carried out by a Student a Census Survey or Sample Survey? qquad Assume that the student statistician Organized & Presented the collected data using Table & Diagram. If the student calculated and discusses about the Mean, Median/Middle and Modal Monthly Income of Sample HH, then the Statistical Approach used is possibly ◻ If the student statistician calculated Average MI of Sample HH and discusses about the number of Sample HH who Earns above & below the Average MI and the Variability of the income among the Sample HH, then the Statistical Approach used is possibly ◻ If this student used the result obtained from the analysis of sample data to generalize about as well as to estimate the Average MI & ME of the whole Households in DDA, then the Statistical Approach used is possibly ◻ If this student used the result obtained from the analysis of sample data to estimate the MI&ME of the whole HH by the year 2019 EC or by 2050 , then the Statistical Approach used is possibly ◻ Suppose that Molla works as a Security Guard at Ras Hotel and his wife Jemila works as a Nurse at Dil Choral Hospital, and they also have three children. Then based on this survey the estimated MI & ME of Molla's family(in 2015) will be qquad & ◻ The Student Statistician used the result obtained form the Sample Analysis to make inference about the MI and ME of all the Households in DDA. Then based on this survey the student's (a) Point Estimate for the mean MI of all Households Population in DD City is ◻ (b) Point Estimate for the mean ME of all Households Population in DD City is ◻

D) None IV. Work out: show all the necessary steps clearly (2.5pts) Solve the following linear system using Cramer's Rule x-y+2z=7 3x+4y-5z=-5 2x-y+3z=12 Find the eigenvalues and the corresponding eigenvectors of A=[[3,2],[3,-2]] Find a linear transformation T:R^(2)rarrR^(3) such that T(1,2)=(3,-1,5) and T(0,1)= (2,1,-1) Evaluate the cofactor of [[2,3,4],[3,2,1],[1,1,-2]] . int7bi tros -1,2],[4,-1],[1,2])([x],[4],[z])=([7],[-1],[12])

Exercice 1 Résoudre dans R les inéquations suivantes : 2x^(2)-5x+3 > 0

Given f(x)=(x-a)^(2)g(x) , show that f^(')(x) is divisible by (x-a) . (03 marks ) A polynomial P(x)=x^(3)+4ax^(2)+bx+3 is divisible by (x-1)^(2) Use the result in (a) above to find the values of a and b . Hence solve the equation P(x)=0 (09 marks)

Обыкновенные линейные дифференциальные уравнения с постоянными коэффициентами расположить по возрастанию порядков этих уравнений: ВАРИАНТЫ ОТВЕТОВ y^(''')+5y^(')=0 y^((6))+2y^(')=0 y^((4))+3y^((2))-7=0 y^(')+2y-5=0 y^('')+3y-2=0

Work out Homework Progress 22//48 Marks a) (3)/(4)xx(1)/(2) b) (4)/(7)xx(21)/(40)