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mrs_skeptik [129]
3 years ago
14

A high school is conducting a vote to see which class (freshman, sophomore, junior, or senior) can go to see a play performance.

The freshmen have 399 students, the sophomores 350 students, the juniors 275 students, and the seniors 325 students. How should each vote be counted so that the outcome is fair.
A) Only let 275 people from each grade vote.
B) Count the number of votes for each class and the class with the highest votes wins.
C) Count the votes and then deduct 125 from the freshman, 75 from the sophomores and 25 from the seniors.
D) The freshman votes count as 1 vote, the sophomore as 1.14 votes, the juniors as 1.45 votes, and the seniors as 1.23 votes.
Mathematics
1 answer:
Lady_Fox [76]3 years ago
6 0
The probability of an event is considered fair when the probability of the event happening is equally likely.

Thus, the way <span>each vote should be counted so that the outcome is fair is "</span><span>The freshman votes count as 1 vote, the sophomore as 1.14 votes, the juniors as 1.45 votes, and the seniors as 1.23 votes.</span>"
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leva [86]

Answer:

\displaystyle x=\frac{1\pm i\sqrt{5}}{6}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
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Equality Properties

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

<u>Algebra II</u>

  • Imaginary Roots: √-1 = i

Step-by-step explanation:

<u>Step 1: Define</u>

6x² = 2x - 1

<u>Step 2: Rewrite</u>

  1. Subtract 2x on both sides:                    6x² - 2x = -1
  2. Add 1 to both sides:                               6x² - 2x + 1 = 0

<u>Step 3: Identify Variables</u>

a = 6

b = -2

c = 1

<u>Step 4: Solve for </u><em><u>x</u></em>

  1. Substitute [QF]:                       \displaystyle x=\frac{2\pm\sqrt{(-2)^2-4(6)(1)} }{2(6)}
  2. Exponents:                              \displaystyle x=\frac{2\pm\sqrt{4-4(6)(1)} }{2(6)}
  3. Multiplication:                         \displaystyle x=\frac{2\pm\sqrt{4-24} }{12}
  4. (Square Root) Subtract:         \displaystyle x=\frac{2\pm\sqrt{-20} }{12}
  5. Factor:                                    \displaystyle x=\frac{2\pm \sqrt{-1} \sqrt{20} }{12}
  6. Simplify:                                 \displaystyle x=\frac{2\pm 2i\sqrt{5} }{12}
  7. Factor GCF:                           \displaystyle x=\frac{2(1\pm i\sqrt{5} )}{12}
  8. Simplify:                                 \displaystyle x=\frac{1\pm i\sqrt{5}}{6}
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