Answer:
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Usually, you create the inequality by casting the problem statement into mathematical terms. Then, solving the inequality can answer the question posed by the problem statement.
Example:
I want to carpet my 1600 ft² house, but I can only afford to spend $3000. Tax and installation costs are expected to add 20% to the total cost of the carpet. What price range of carpet should I be looking at in term of dollars per square yard?
Solution:
Let p represent the price per square yard of carpet. The problem statement tells me
(1600 ft²)×((1 yd)/(3 ft))²×p×(1 + 0.20) ≤ $3000 . . . . . created inequality
p×((1600×1.20)/9 yd²) ≤ $3000 . . . . . . . . . . . . . . . . . simplify left side
p ≤ $14.06/yd²
I can afford carpet that costs less than $14.06 per square yard.
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean
and standard error 
In this problem:
- Sample of 500 customers, hence
.
- Amazon believes that the proportion is of 70%, hence

The <u>mean and the standard error</u> are given by:


The probability is the <u>p-value of Z when X = 0.68</u>, hence:

By the Central Limit Theorem



has a p-value of 0.1635.
0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.
A similar problem is given at brainly.com/question/25735688
Answer:
5 steps
Step-by-step explanation:
Turn 5/4s into 10/8s and it becomes really easy
There are 16 ounces in a pound. So just multiply
16 x 18 = 288
18 pounds = 288 ounces
Hope this helps.