During a recent drought, a water utility in a certain town sampled 100 residential water bills and found that 80 of the residences had reduced their water consumption over that of the previous year. find a 98% upper confidence bound for the proportion of residences that reduced their water consumption. round the answer to three decimal places.

0.893

Step-by-step explanation:

Given : Sample size of residential water bills: n=100

Number of residences had reduced their water consumption over that of the previous year = 80

Then sample proportion:

Critical value for 98% confidence=

The upper bound for confidence interval for population proportion :

Hence, the 98% upper confidence bound for the proportion of residences that reduced their water consumption.=0.893

loloo

step-by-step explanation:

lololool

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet