Automated electron backscattered diffraction is now being used in the study of fracture phenomena. the following information on misorientation angle (degrees) was extracted from the article "observations on the faceted initiation site in the dwell-fatigue tested ti-6242 alloy: crystallographic orientation and size effects"

class: 0-< 5 5-< 10 10-< 15 15-< 20
rel fraq: .177 .166 .175 .136

class: 20-< 30 30-< 40 40-< 60 60-< 90
rel fraq: .194 .078 .044 .030

a) is it true that more that 50% of the sampled angles are smaller than 15 degrees, as asserted in the paper?

b) what proportion of the sampled angles are at least 30 degrees?

c) roughly what proportion of angles are between 10 degrees and 25 degrees?

d) construct a histogram and comment on any interesting features.

The doghouse shown has a floor, but no windows. find the total surface area of the doghouse, including the door.

Which equation is true? i. 56 ÷ 4·7 = 82 ÷ (11 + 5) ii. (24 ÷ 8 + 2)3 = (42 + 9)2 neither i nor ii ii only i and ii i only

For a research project in a political science course, a student has collected information about the quality of life and the degree of political democracy in 50 nations. specifically, she used infant mortality rates to measure quality of life and the percentage of all adults who are permitted to vote in national elections as a measure of democratization. her hypothesis is that the quality of life is higher in more democratic nations. read this research description carefully. pay attention to the following: how many variables are in this research? what is the scale of the variable for infant mortality? p1c4. what is the dependent variable in this research problem? p1c4. is this research descriptive or inferential? does this research involves single variable analysis or two or more variable analysis?