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Answer:
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 64 - 1 = 63
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.387
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters
The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
The passage indicates that the farm's managers reacted to Nawab's receipt of a motorcycle with disgust. The correct answer is A.
Given a passage shown below in the attached pictures.
Option A is the best answer. The passage says that Nawab's new motorcycle led to "the disgust of the ranchers" (line 7 ).
Options other than A are B, C, and D are incorrect because the passage specifically states that Nawab's new motorcycle resulted in "the disgust of the ranchers", not happiness. their happiness (option B), their jealousy (option C) or their indifference (option D). The passage is therefore given that the managers of the farm reacted to Nawab's receipt of a motorcycle with disgust.
Learn more about the passage from here brainly.com/question/12555695
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Given:
Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).
Point Z is located exactly 1/8 of the distance from A to B.
To find:
The value of the x-coordinate of point Z.
Solution:
Point Z is located exactly 1/8 of the distance from A to B.
AZ:AB=1:8
AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7
It means point Z divided segment AB in 1:7.
Using section formula, the x coordinate of point Z is
Therefore, the required x-coordinate of point Z is -16.25.