Rajesh gave 1/2 of his provident fund to his wife,1/4 to his son and the remainder was to be divided equally between his two brothers so that each brother got Rs 10000. What was the amount of provident fund?​

What is the y-coordinate of the solution of the system of equations? [tex]y = 2x + 14 \\ - 4x - y = 4[/tex]y=

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).

Which rectangle if translated 6 units right and 16 units down and the rotated 90° clockwise about the point (4, -11) will result in rectangle e?