Answer:
$47,386.44
Step-by-step explanation:
Given;
Dimension of the field = 725 feet by 1,021 feet
Length = 1021 ft
Breadth = 725 ft
Cost per foot = $13.57 per foot
Perimeter of the field = 2 × (length + breadth)
Perimeter = 2 × ( 1021 + 725) = 3492 ft
The cost of fencing the field is;
Cost per feet × perimeter
= $13.57 × 3492
= $47,386.44
Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
The margin of error is given by:

In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:

Then, the <em>margin of error</em> is of:

More can be learned about the z-distribution at brainly.com/question/25890103
Answer:
9
√
2
Step-by-step explanation:
1. Rewrite 162 as
⋅2
2. factor 81 out of 162

3. Rewrite 81 as 

4. Pull the terms from under the radical
![\sqrt[9]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B9%5D%7B2%7D)
I hope this helps :)