The most basic and common reason to use parentheses, brackets, and braces is to control the order of operations.
<h3>What are parentheses?</h3>
In mathematics, parenthesis is used to arrange numbers in the sequence of operations, clarify numbers, and denote multiplication.
Suppose you have an expression as:-
E = { ( 5-2 )8} 6
In this case, you would calculate 5 minus 2 first (parentheses), then multiply by 8 (brackets), then complete the part inside the curly braces, and finally multiply by 6.
Therefore the most basic and common reason to use parentheses, brackets, and braces is to control the order of operations.
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Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that 
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.
0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:
So
A thickness of 0.96 millimeters is exceeded by 90% of the flanges
4.30A+5.70B=855.40
A+B=168
A=168-B
substitute
4.30(168-B)+5.70B=855.40
4.30*168-4.30B+5.70B=855.40
1.40B =855-4.30*168
1.40B=132.60
B=132.60/1.40= 94.7 pounds≈95 pouds
Only a function that actually shows the word "ln" or "log" or "log to the base b" is a log function.
Taking a closer look at #3: y = log 0.25^x, we see that this can be simplified by writing the base (10) as follows: 10 10
and then using y as the exponent of the first 10 and log 0.25^x as the exponent of the second 10:
10^y = 10^(log 0.25^x)
You were not asked to do this, but this discussion may be of interest and help to you down the line.
10^y = 0.25^x
