Using the normal distribution, there is a 0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, 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 proportion is approximately normal with mean and standard deviation , as long as and .
The proportion estimate and the sample size are given as follows:
p = 0.45, n = 437.
Hence the mean and the standard error are:
The probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3% is <u>2 multiplied by the p-value of Z when X = 0.45 - 0.03 = 0.42</u>.
Hence:
By the Central Limit Theorem:
Z = (0.42 - 0.45)/0.0238
Z = -1.26
Z = -1.26 has a p-value of 0.1038.
2 x 0.1038 = 0.2076.
0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.
More can be learned about the normal distribution at brainly.com/question/28159597
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The polynomial 9x^5+36x^4+189x^3 in factored form is
<u>Solution:</u>
Given, polynomial equation is
We have to find the factored form of the above given polynomial equation.
Let us solve it by grouping.
Now, take the polynomial ⇒
By taking common term out, we get
Grouping the terms we get,
Taking common terms out from each group,
Thus the factored form of polynomial is found out
We can note that the salary per game of $154,320.9 is lower than the maximum taxable income in 2018.
<h3>What is division?</h3>
Finding the maximum number of equal pieces that can be made by splitting an integer into equal parts is called division. The symbol "÷" represents it. It is one of the four fundamental operations in math.
Note: The data originates from 2022 and thus the data could be inaccurate in the coming years.
Given
Income=$25,000,000
Number of games= 162
Maximum taxable income= $147,400
The salary per game is the income divided by the number of games
Salary per game= Income/ Number of games
= $25,000,000/ 162
=$154,320.99
We can note that the salary per game of $154,320.9 is lower than the maximum taxable income in 2022.
To learn more about division, visit: brainly.com/question/1575906?referrer=searchResults
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Answer:
“Mean for both bakeries because the data is symmetric.”
Step-by-step explanation:
This is correct because the numbers shown in this problem is all in the same range. Meaning that on bakery A and B there are no stray numbers, also known as outliers. No outliers means that the data is symmetric. If you search up, you can see that when the data is symmetric, you use “mean.”
also I got it right on my test
Answer:
1 1/4
Step-by-step explanation:
So basically the number is getting cut in half for example the 10 goes to a 5.
1 1/4 + 1 1/4 = 2 1/2
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