Solve this problem, and identify the percent, amount, and base. what percent of 50 is 20?
2 answers:
Answer:
<h2>20 represents a 40% of 50.</h2><h2>The percentage is 40.</h2><h2>The base is 50.</h2><h2>The amount is 20.</h2>Step-by-step explanation:
Observe that we want to find the percentage that the number 20 represents where 50 is the total.
The fatest way to solve this problem is by dividing
Then, we multiply by 100, to express it in percetange
Therefore, 20 represents a 40% of 50.
- The percentage is 40%.
- The base is 50, which represents 100%.
- The amount is 20.
If we express each element, it would be
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Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
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, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is of
.
- The standard deviation is of
.
- Sample of 100, hence
The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:
Z = -2:
By the Central Limit Theorem
Z = 2:
The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213