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A: This question is based on similar triangles.
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A: solution
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A: For the solution follow the next steps.
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A: topic - quadratic equations
Q: 16, Given AD is parallel to EC and BD BC,. prove A ABD A EBC D
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A: We find out the value of x.
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Q: 13) 4y = 3x+ 12 -3x + 4y = 2 15) 2x + 6y = -3 12y = 4x + 20 %3|
A: 13.)4y=3x+12 ⇒ y=34x+3slope m1=34-3x+4y=2slope m2=34since m1=m2 , thus lines are parallel.
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A: We have to prove that AC and BD bisect each other at 90°
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- Customer Preference Two movie theatres that show several different movies each night compete for the same audience. Of the people who attend theatre A one night, 10 will attend again the next night and 5 will attend Theatre B the next night. Of the people who attend Theatre B one night, 8 will attend again the next night and 6 will attend Theatre A the next night. Of the people who attend neither theatre one night, 3 will attend Theatre A the next night and 4 will attend Theatre B the next night. Find and interpret the steady state matrix for this situation.Purchase of a product The market research department at a manufacturing plant determines that 20 of the people who purchase the plants product during any month will not purchase it the next month. On the other hand, 30 of the people who do not purchase the product during any month will purchase it in the next month. In a population of 1000 people, 100 people purchased the product this month. How many will purchase the product a next month and b in 2 months?Workers in Company XYZ used 200 computers for their daily operation. In that company, the computers are categorized into type A and B. The workers usually complained that they experience performance problems with the computers more than once per week. Based on a survey, the company found that fifty of the Type A computers will encounter problems more than once per week. Meanwhile seventy-five of the Type B computers do not experience problems more than once per week. There are 120 Type B computers in the company. Based on the above scenario determined whether the events “Type A computer” and “experience problems more than once per week” are independent event? Explain.
- A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi squareThe space shuttle is about to go up on another flight.With probability pt(z), it will use z type t fuel cells duringthe flight. The shuttle has room for at most W fuel cells. Ifat any time during the flight, all the type t fuel cells burnout, a cost ct will be incurred. Assuming the goal is tominimize the expected cost due to fuel cell shortages, set upa dynamic programming model that could be used todetermine how to stock the space shuttle with fuel cells.There are T different types of fuel cells.Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 165 men and a sample of 140 women were drawn. In those samples, 20 men were unemployed, and 13 of the women were unemployed. Complete parts a and b below. Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 180men and a sample of, 160 women were drawn. In those samples,19 men were unemployed, and 10 of the women were unemployed. Complete parts a and b below. a. What is the test statistic? What is/are the critical value(s)? b. Determine the p-value and…
- A company produces mood music, and wants to study the music and whther it substantially helps peoples mood. the first intern decides to survey adults, asking them if they are feeling cheerful at the moment. 280 adults who do not listen to the mood music are asked if they are feeling cheerful at the moment. 112 say they are. the intern then asks 172 adults who listen to mood music regurlarly of they are feeling cheerful: 87 say they are. The intern will only claim that the music enhances peoples mood if he can state with 95% certainty that the % of adult mood music listeners who feel cherful beats thes rest of the adult population more than 4% e) based on this survey, can the intern make the claim that the music improves peoples mood f) generate a 95% confidence interval regarding the differnce between the % of adults who listen to mood music who feel cheerful and the % of adults who dont listen to mood music who feel cheerful round to the nearest 1%A company produces mood music, and wants to study the music and whther it substantially helps peoples mood. the first intern decides to survey adults, asking them if they are feeling cheerful at the moment. 280 adults who do not listen to the mood music are asked if they are feeling cheerful at the moment. 112 say they are. the intern then asks 172 adults who listen to mood music regurlarly of they are feeling cheerful: 87 say they are. The intern will only claim that the music enhances peoples mood if he can state with 95% certainty that the % of adult mood music listeners who feel cherful beats thes rest of the adult population more than 4% the Second intern surveys auldts who dont regurlarly listen to mood music and those who do and asks them to rate ther mood on a 0 to 10 sclae the results are as follow People who dont listen to the mood music: 5, 8, 3, 5 ,4,6,5,7,7,1,2,6,4,5,8,2,8,10,2,4,6 people who do listen to the mood music:…A company produces mood music, and wants to study the music and whther it substantially helps peoples mood. the first intern decides to survey adults, asking them if they are feeling cheerful at the moment. 280 adults who do not listen to the mood music are asked if they are feeling cheerful at the moment. 112 say they are. the intern then asks 172 adults who listen to mood music regurlarly of they are feeling cheerful: 87 say they are. The intern will only claim that the music enhances peoples mood if he can state with 95% certainty that the % of adult mood music listeners who feel cherful beats thes rest of the adult population more than 4% a) Write h0, Ha and a b) write the values of P no music and P music c)run a z test what is the p-value round to the nearest 0.0001