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2 answers:
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<u>Algebra I</u>
- Coordinates (x, y)
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (11, 4) → x₁ = 11, y₁ = 4
Point (5, 8) → x₂ = 5, y₂ = 8
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:
- [√Radical] (Parenthesis) Subtract:
- [√Radical] Evaluate exponents:
- [√Radical] Add:
- [√Radical] Simplify:
Answer:
99.7%
Step-by-step explanation:
Mean number of passengers (μ) = 180 passengers
Standard deviation (σ) = 20 passengers
The number of standard deviation from the mean for the lower and upper bounds of the 120 to 240 passengers intervals are:
Therefore, all of the data is within 3 standard deviations from the mean. According to the empirical rule, 99.7% of the data is within 3 standard deviations from the mean. Therefore, we can assert with a 99.7% probability that there will be between 120 and 240 passengers.