Which is a simplified form of the expression 2(5x + 1) – 3x?
1 answer:
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Answer:
<em>The probability of spending between 4 and 7 days in recovery</em>
<em>P(4≤x≤7) = 0.5445</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given mean of the Population μ = 5.3 days
Given standard deviation of the population 'σ' = 2 days
Let 'X' be the random variable in normal distribution
Let x₁ = 4
Let x₂ = 7
<u><em>Step(ii):-</em></u>
<u><em>The probability of spending between 4 and 7 days in recovery</em></u>
<em>P(4≤x≤7) = P(-0.65≤Z≤0.85)</em>
<em> = P(Z≤0.85) - P(Z≤-0.65)</em>
<em> = 0.5 + A( 0.85) - ( 0.5 - A(-0.65) </em>
<em> = 0.5 + A( 0.85) - 0.5 +A(0.65) ( ∵A(-0.65) = A(0.65)</em>
<em> = A(0.85) + A(0.65)</em>
<em> = 0.3023 + 0.2422</em>
<em> = 0.5445</em>
<u><em>Final answer:</em></u><em>-</em>
<em>The probability of spending between 4 and 7 days in recovery</em>
<em>P(4≤x≤7) = 0.5445</em>
<em> </em>
The area of the region shown in the coordinate plane is 2.7823 units square.
<h3>What is integration?</h3>It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
It is given that:
The graph of a function:
y = sinx
And a line segment passed through:
(0, 0) and (7π/6, -1/2)
First, find the equation of the line:
y = (-1/2)/(7π/6)[x]
y = (-3/7π)x
The area by definite integration:
After solving the above definite integral:
Area = 2.7823 units square
Thus, the area of the region shown in the coordinate plane is 2.7823 units square.
Learn more about integration here:
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