The given expression is 
.
We need to simplify the given expression.
<h3>What is a rational number?</h3>
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Now group the rational numbers 
Therefore, the simplified value of the given expression is 
.
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The discount is 60% of regular price, or we can write it as
discount = 60% × regular price
input the numbers
discount = 60% × regular price
discount = 60% × 45
discount = 60/100 × 45
discount = 2,700/100
discount = 27
The answer is $27
Amplitude: 1/4 (= |a|)
Frequency: 1/2 (= |b|)
Period: 4pi (= 2pi/|b|)
For the probability of rain on julty 4h of 0.5 his expected profit is 8885.5 dollars.
<h3>What is probability?</h3>
The probability is occurrence of a certain event out of the total number f events that can happen.
Given in the question the probability of rain is 0.5 therefore the probability of not raining is also 0.5.
If it does not rain he makes a profit of 30427 dollars and if it rains he suffers a loss of 12656 dollars.
We know, the expected profit is,
= 0.5(30427) - 0.5(12656).
= 15213.5 - 6328.
= 8885.5 dollars.
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