You’ve seen two methods for finding the area of δabc—using coordinate algebra (by hand) and using geometry software. how are the two methods similar? how are they different? why might coordinate algebra be important in making and using geometry software?

Evaluate-27 ^4/3/8 a) - 81/16 b) 81/16 c) 16/81

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Write the expression as a single natural logarithm. 2 in a - 4 in y