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OLEGan [10]
4 years ago
6

Evan is performing a marble experiment in math class. His teacher places an equal number of black, red, blue, and white marbles

in a bag. Then, Evan randomly takes out a marble, records the result, and puts the marble back in the bag. Each of the first five times Evan takes out a marble, he gets a red marble.
A. What is the theoretical probability of Evan picking a red marble next time? Based on Evan's results, what is the experimental probability of Evan picking a red marble next time?

B. Explain the difference between the two probabilities you found in part A.

C. What is the theoretical probability and likelihood of getting five red marbles in a row?
Mathematics
1 answer:
marin [14]4 years ago
8 0
A. The theoretical probability of Evan picking red is 1/4. The experimental probability is 1.

B. In theory, Evan has an equal chance of choosing any colored marble. However, he has gotten red every time, so the experimental probability will be 1.

C. The theoretical probability of getting five reds in a row is 1/256
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u>Trigonometry</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

Angle = 28°

Opposite leg of angle = 8 ft

Adjacent leg of angle = x ft

<u>Step 2: Find </u><em><u>x</u></em>

  1. Substitute:                                        tan28° = 8/x
  2. Multiply <em>x </em>on both sides:                 xtan28° = 8
  3. Divide tan28° on both sides:          x = 8/tan28°
  4. Evaluate:                                          x = 15.0458
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Factor each expression 16x+40y
prohojiy [21]
Hi there!

To factor this expression, you must first find the greatest common factor of each term, 16x and 40y.

To do this, first list the factors of each coefficient since they do not share any variables:
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Notice that among the factors of each term, 8 is the greatest common factor.

Finally, factor 8 from the expression to get 8(2x+5y) as your final answer.

Hope this helps, and have a nice day!
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