Francisco is building a window seat below a bay window in the shape of an isosceles trapezoid. His blueprint for the window seat
2 answers:
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Answer:
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Trig Derivatives
Integration
- Integrals
- Definite Integrals
- Integration Constant C
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Multiplied Constant]:
Trig Integration
Logarithmic Integration
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution.</em>
- Set <em>u</em>:
- [<em>u</em>] Differentiate [Trig Derivative]:
- [Bounds of Integration] Change:
<u>Step 3: Integrate Pt. 2</u>
- [Integral] Rewrite [Integration Property - Multiplied Constant]:
- [Integral] U-Substitution:
- [Integral] Logarithmic Integration:
- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Answer:
The probability that X is less than 32 minutes is 0.736.
Step-by-step explanation:
Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.
To find : What is the probability that X is less than 32 minutes?
Solution :
If X has an average value of 24 minutes.
i.e.
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
The exponentially function is
The function form according to question is
The probability that X is less than 32 minutes is
Therefore, the probability that X is less than 32 minutes is 0.736.