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Vsevolod [243]
3 years ago
10

Hudson is performing an experiment by tossing a paper cup into the air and recording how it lands. He determines that there are

three possible outcomes for how the cup will land: on its top, on its bottom, or on its side. He is curious if the three outcomes are equally likely. The table below shows the results of Hudson's experiment.
Outcome Frequency
Top 4
Bottom 1
Side 25

a. What is the approximate probability that on the next toss, the paper cup will land on its top? On its bottom? On its side? Express each answer as a percentage.
b. From the results of Hudson's experiment, do the three outcomes appear to be equally likely? Explain your reasoning using complete sentences.
Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0
It has landed on its side 25/30 times, on the top 4/30 times 25/30=5/6,1/30=0.2/6 and 4/30=0.8/6.
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Answer:

Option D.

Step-by-step explanation:

  • First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
  • Next, we know that the formula for calculating the area of a right angled triangle is given by:

        A = 1/2 (base × perpendicular height)

  • The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
  • Therefore, the formula will be:

       A = 1/2 (x.x)

           =1/2 (x²)

      32 = 1/2 (x²)

     Multiplying both sides by 2 gives:

     32×2 = x²

     64  = x²

       8   = x

To find the third side, we use the Pythagoras theorem:

    C² = A² + B²

         = 8² + 8²

         = 128

   C = √128

       = 8√2

However, the answer will not be exact, so we  multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)

Repeating the steps above gives C = √ (16)² + (16)²

                                                           = √256

This corresponds to option D.

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