Which linear inequality is represented by the graph?
2 answers:
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Jordan have $286 in his account after 1 year.
<u>Solution:</u>
Given data:
Principal (P) = $275.00
Rate of interest (R) = 4%
Time (T) = 1 year
<u>Let us first calculate the simple interest.</u>
Simple Interest Formula:
Substitute the given values in the simple interest formula.
Simple interest = $11
<u>Calculating the amount in account after 1 year:</u>
Amount = Principle + Simple Interest
= $275.00 + $11
Amount = $286
Hence Jordan have $286 in his account after 1 year.
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