Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:
d. 68.39%.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 99% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 2.575.
The sample size and estimate are given by:

Hence, the lower bound is given by:

Hence the lower bound is of 68.39%, which means that option D is correct.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
l = 0.13x+1025
Step-by-step explanation:
Let the monthly sales be x
Monthly income = $1025 + 13% of monthly sales
Monthly income = $1025 + 0.13x
Since l represent the monthly income
l = 1025+0.13x
Rearrange
l = 0.13x + 1025
Hence the linear equation representing the statement is l = 0.13x+1025
Answer:
a
Step-by-step explanation:
Answer:
b = 34°
Step-by-step explanation:
b + 115° + 31° = 180°
b + 146° = 180
b = 180° - 146°
b = 34°
The horse traveled 439.6 feet after walking around the track 5 times
<u><em>Solution:</em></u>
Given that, horse walks around a circular track while its trainer stands in the center
The trainer is 14 feet from the horse at all times
Therefore, radius of circular track = 14 feet
The circumference of circle is the distance traveled by horse for 1 lap
<em><u>The circumference of circle is given as:</u></em>

Where, "r" is the radius and
is a constant equal to 3.14

Thus the distance traveled by horse for one time in circular track is 87.92 feet
<em><u>About how far had the horse traveled after walking around the track 5 times? </u></em>
Multiply the circumference by 5

Thus the horse traveled 439.6 feet after walking around the track 5 times