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The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
<h3>What is a confidence interval?</h3>It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
We have:
A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
Sample proportion = p = 378/504 = 0.75
q = 1 - p = 1 - 0.75 = 0.25
SD = 0.01928
For 95% confidence interval Z value = 1.96
Lower limit = 0.75 - 1.96(0.01928)
= 0.712
Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
Learn more about the confidence interval here:
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Answer:
21.27 meters.
Step-by-step explanation:
Please find the attachment.
Let H and h represent height of building and tree respectively.
We have been given that a person on the ground looks up at an angle of 28° and sees the top of a tree and the top of a building aligned. The tree is 20 m away from the person and the building is 60 m away from the person.
We know that tangent relates opposite side of a right triangle with its adjacent side.
Similarly, we can find height of the tree.
Therefore, the difference in heights between the building and tree is 21.27 meters.
