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Karolina [17]
3 years ago
11

Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and

records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. How does the theoretical probability compare with the experimental probability of landing on an even number? Use the drop-down menus to explain your answer.
The probability is greater than the probability of landing on an even number. The probability is 72120 and the probability is 80120.
Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer:

Even numbers are 2,4,6 for this case and the experimental probability of being even is given by:

p = \frac{30+25+17}{120}= \frac{72}{120}= 0.6

Now we can find the theorical probability since we have 6 possible outcomes 2, 2, 3, 4, 5, and 6 we have 4 even numbers in the sample space and the theorical probability is given by:

p= \frac{4}{6}= 0.667

Then we can conclude that the empirical probability is lower than the theorical probability (0.6<0.667)  for this experiment

Step-by-step explanation:

For this case we wan find the probability associated to the experiment we know that. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6.

Even numbers are 2,4,6 for this case and the experimental probability of being even is given by:

p = \frac{30+25+17}{120}= \frac{72}{120}= 0.6

Now we can find the theorical probability since we have 6 possible outcomes 2, 2, 3, 4, 5, and 6 we have 4 even numbers in the sample space and the theorical probability is given by:

p= \frac{4}{6}= 0.667

Then we can conclude that the empirical probability is lower than the theorical probability (0.6<0.667)  for this experiment

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The area of a playground is 12 square yards. The length of the playground is 3 times longer than its width. Find the length and
marishachu [46]

Answer:

Width is 2 and Length is 6

Step-by-step explanation:

  1. As the data is given, the area of a playground is 12 square yards.
  2. The length of the playground is 3 times longer than its width.  
  3. Let width is x, length is 3 times therefore, length = 3x

As we know the formula for area,

  • Area=length x width.

So by putting values in this formula,

  • 12sq = (3x)(x)  

=> 3x2 = 12

=> x2 = 12/3,

=> x2 = 4 ,

by taking square root we get x= 2,

  • the width is 2 and length is 3 times hence, length is 3(2) = 6.  
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3 years ago
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Step-by-step explanation:

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2 years ago
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Which expression is equivalent to the following: *<br> 20x+9y
anzhelika [568]

Answer:

B. 5(4x+2y)-y

Step-by-step explanation:

Bring the 5 over and multiply

5×4 = 20 + x

=20x (thats the beginning of the expression)

5×2 = 10

10y - y = 9 because the - y is basically telling you to get rid of one of the y values so 10 - 1 = 9y

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Answer:

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Step-by-step explanation:

When D is the midpoint of EG, it means ...

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or

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Likewise, H is ...

  H = 2D -F = 2(3,4) -(4,5) = (2·3-4, 2·4-5) = (2, 3)

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