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Compare and contrast the SAS Similarity Theorem and the SAS Congruence Postulate
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- Find the second-order contact matrix PQ mentioned in the text.Assignm https://u SS Radius A Internet WebFig 10.20.10 (Vikings Egy pue tom TP-LINK 3/e/1FAlpQLSdjK4Q1WxgGZUrSXODxeMhQOkgykDPYvQuQvg--y5xjwYv4A/formResponse 2 51 5. Which of the following is true about A-1? [1 Let A = 2 li 1 0. [-16 15 -13] A-1 = 9 -8 7 1 -1 1 O A is a singular matrix O the above [-16 15 -131 A-1 = 9. 8 1 -1 1 O None of these O the above -16 15 -131 A-1 = 9 -8 -7 -1 O the above. LEGIONConsider an experiment in which a subject performs a task while being exposed to two different stiumli (for example, sound and light). For low levels of the stimuli, the subject's performance might actually improve, but as the stimuli increase, they eventually become a distraction and the performance begins to deteriorate. Suppose in a certain experiment in which x unites of stimulus A and y unites of stimulus B are applied, the performance of a subject is measured by the funtion f(x,y) = C+xye(1-x^2-y^2) where C is a positive constant. How many units of each stimulus result in maximum performance?
- 2. It has been hypothesized that children's performance on a particular test of spatial ability will improve significantly between the ages of 10 and 12. To test this hypothesis, eight 10-year-old children are given the spatial ability test and then, two years later as 12-year-olds, are given the same test a second time. The following data were obtained: 10-year-old scores Children year-old scores 1234567 ∞ DESSENCE 8 20 32 26 36 18 25 30 16 12- XHAXHIN 28 34 27 40 28 24 34 21 a) Are the children's spatial ability scores as 12-year- olds significantly higher than they were at 10 years of age (alpha = .005)? (3 9 b) Is the variance of the children's scores as 10-year- olds significantly different from 68.5: the typical population variance (alpha = .05)? (^^1,000 students at college level are graded according to their 1.Q. and their sconamic conditions. Use chi-square test to find out whether there is any association hetween economic conditions and the level of 1.Q. Economic Condition 1.Q High Medium Low Total Rich 160 300 140 600 Poor 140 100 160 400 Total 300 400 300 1,00028- Sick leave of employees in a factory before and after Covid-19 was investigated in a year. Which of the following is the statistical decision in the hypothesis of whether there is a difference between the sick leaves of the employees? (The data do not satisfy the parametric assumption).
- How can we write this parameter with gams ide?The actual color a viewer sees on a screen is influenced by the specific type and amount of phosphors on the screen. So each computer screen manufacturer must convert between the (R, G, B) data and an international CIE standard for color, which uses three primary colors, called X, Y, and Z. A typical conversion for short-persistence phosphors is shown to the right. A computer program will send a stream of color information to the screen, using standard CIE data (X, Y, Z). Find the equation that converts these data to the (R, G, B) data needed for the screen's electron gun. G 121 1²2 cal forach mement Round to four decimal place) (Type an or as Y C 0.45 0.26 0.158 0.34 0.65 0.063 0.02 0.16 0.841 R B X Y Z(8) Prove that if A and B are similar, then their transposes are also similar.
- 9.13 Are the computers of different companies alike in failure time? Company Failure time (in hour) of computers (xij) 120 110 ΣΣχ)-2167 A 122 125 118 100 105 108 110 100 95 ΣΣχ-238943 90 80 90 85 125 130 114 125 115 9.17 The information about salary of two different institutions (in taka) are as: Institution 1 Institution 2 Do you think that the salary information of both institutions are similar? n = 15 Σχ-16875 s,2= 5625 n2 = 20 Σχ-26500 s2? = 50625Elephants and hippos We removed humans from thescatterplot in Exercise 31 because our species was anoutlier in life expectancy. The resulting scatterplot showstwo points that now may be of concern. The point in theupper right corner of this scatterplot is for elephants, andthe other point at the far right is for hippos.a) By removing one of these points, we could makethe association appear to be stronger. Which point?Explain.b) Would the slope of the line increase or decrease?c) Should we just keep removing animals to increase thestrength of the model? Explain.d) If we remove elephants from the scatterplot, the slopeof the regression line becomes 11.6 days per year. Doyou think elephants were an influential point? Explain.The data below represents the number of customers served by the employees in a certain restaurant during their shift: 11 15 23 29 19 22 21 20 15 23 17. The data is unimodal has no mode bimodal multimodal