The confidence interval for the mean usage of water is (18.7,20.5).
Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.
We have to find the confidence interval for the mean usage of water.
To find out the confidence interval we have to first find margin of error.
μ=19.5
σ=2.4
α=0.98
α/2=0.49
We have to find the z value for the p value 0.49 which is z=2.33
Margin of error=z*μ/
=2.33*19.5/
=0.82
lower level=mean -m
=19.5-0.82
=18.68
after rounding upto 1 decimal
=18.7
upper mean = mean+m
=19.5+0.82
=20.52
Hence the confidence interval for the usage of water is (18.7,20.52).
Learn more about margin of error at brainly.com/question/10218601
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The commutative property of addition
Given:
A figure of a circle with secants intersecting inside the circle.
To find:
The value of x.
Solution:
According to the intersection theorem of secants, if two secants intersect each other inside the circle, then the angle on the intersection is the average of the intercepted arcs.
Using the intersection theorem of secants, we get




Therefore, the value of x is 69.
Answer:
Statement B is always correct