Answer:
The minimum sample needed to provide a margin of error of 3 or less is 52.
Step-by-step explanation:
The confidence interval for population mean (<em>μ</em>) is:

The margin of error is:

<u>Given:</u>
MOE = 3
<em>σ </em>= 11
The critical value for 95% confidence interval is: 
**Use the <em>z</em>-table for critical values.
Compute the sample size (<em>n</em>) as follows:

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.
There are two coefficients, 11 for r and 7 for s
Answer:
16.97056275
Step-by-step explanation:
12 squared + 12 squared = 288
square root of 288 = 16.97056275
Answer: # 15 is x=-12 and #16 is x=24
Step-by-step explanation:
The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.
<h3>How to calculate the length?</h3>
From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.
The length will be calculated thus:
Cos 35° = 153/AC.
AC = 153/cos 35°
AC = 153/0.819
AC = 186.78 feet.
Therefore, the length is 186.78 feet.
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