Using the normal distribution, it is found that 63.18% of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9.
<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.
The area within 0.9 standard deviations of the mean is the <u>p-value of Z = 0.9(0.8159) subtracted by the p-value of Z = -0.9(0.1841)</u>, hence:
0.8159 - 0.1841 = 0.6318 = 63.18%.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
B. It rejects the concept of social class in the American system.
Explanation:
The Enlightenment of the American Colonies was a period in time where the people were encouraged to become their own nation. This period was represented by many speeches and pieces of writing that boasted freedom of speech, equality, freedom of the press, and religious tolerance.
This specific piece of writing focuses on the aspect of all people in the nation of America having protected freedoms and rights to become their own people.
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Rate = 40/16 = 10/4 = 5/2 = 2.5 meters/second
Unit rate = ratio where denominator is 1 = 2.5/1 meters/second
</span>
Answer:
41 2/3 feet
Step-by-step explanation:
The sum of wall lengths (in feet) is ...
(12 1/4) + (10) + (12 1/4) + (10 -2 5/6)
= (12 + 10 + 12 + 8) + (1/4 + 1/4 - 5/6)
= 42 + (3/12 + 3/12 -10/12)
= 42 - 4/12 = 42 - 1/3
= 41 2/3 . . . feet
Answer:
D. 8/2 +(-10)² = 104
Step-by-step explanation:
To find which statements are true, evaluate the expression for the given variable values. You do this by putting the numbers in place of the respective variables, then doing the arithmetic.
The respective expression values are ...
A 83 ≠ 37 . . . . (4/2) +9² = 2 +81 = 83
B 31 ≠ 61
C 52 ≠ 61
D 104 =104 . . . . true statement
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I find it less tedious to write a function into a calculator or spreadsheet and let it do the repetitive math. Examples of the calculation are shown above.