A fizzy water manufacturer advertises that its bottles hold 12 oz. of liquid. They want to estimate how many of their bottle hold less than that amount. They randomly select 60 filled bottles off the assembling line and find that 4 of them hold less than 12 oz. of liquid. Find the 5% confidence level margin of error for the sample proportion. Use x=1.960. Round your answer to the nearest tenth of a percent.

Suppose a pendulum is l meters long. the time,t,in seconds that it tales to swing back and forth once is given by t=2.01

You have $600,000 saved for retirement. your account earns 5.5% interest. how much, to the nearest dollar, will you be able to pull out each month, if you want to be able to take withdrawals for 20 years?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?