To translate a statement such as ‘The sum of twice a number and 6 is equal to the difference of the number and 9’ write an equation using the definitions of the terms used. For example, sum means to add and difference means to subtract. The result is 2x+6=x-9. Develop your own statement such as the one above. Include at least four mathematical operations. Write an equation to represent the problem you develop.

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Convert (-3,0) to polar form. a. (3,0’) b. (-3,180’) c. (3,180’) d. (3,360’)