One corner of Ammon's backyard is in the shape of a right triangle. Ammon wants to put a garden in this corner that is in the shape of a rectangle. He wants to put rocks in the triangle-shaped area that is not part of the rectangle-shaped garden. A diagram is shown.

Tony is charged $ 50 and additional $0.15 per miles for renting a car. a) represent the cost of renting a car with an equation,and the determine the cost if he drove it70 miles.b) what would be the cost of a car rental if the car was driven 250 miles? show work

The ratio of the height of two similar cylinders is 4 to 3 what is the ratio of their volumes

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.