The height of a windmill blade above the ground (in feet) is given by the function ff where f(k)=14sin(1.1k)+ 24. Match the following expressions with the appropriate quantity. expressions

-sin(1.1k)

-1.1

-24

-14sin(1.1k)

-k

-1.1k

- 14sin(1.1k)+24

quantities

speed of the blade (in feet per second)

height of the blade above ground (in radii)

speed of the blade (in radians per second)

height of the horizontal diameter of the fan above the ground (in radii)

height of the blade above the horizontal diameter of the fan (in feet)

angle measure rotated from the 3 o'clock position (in radians)

height of the blade above the horizontal diameter of the fan (in radii)

height of the horizontal diameter of the fan above the ground (in feet)

height of the blade above ground (in feet)

number of seconds elapsed since windmill started rotating

 

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Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?