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larisa86 [58]
3 years ago
8

A spinner has 5 equal-sized sections with different colors. You spin the spinner 50 times. The results are shown in the table. F

ind the theoretical and experimental probabilities of spinning blue.
Red Green Blue Yellow Orange
8 11 15 9 7
The theoretical probability is
.

The experimental probability is
.

Question 2
What do you think will happen to the experimental probability when you spin the spinner 400 times?


The experimental probability will stay the same.

The experimental probability will get farther from the theoretical probability.

The experimental probability will get closer to the theoretical probability.
Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

a) If the spinner is fair, then each color must have the same probability, this means that the probability for each color is the number of times that the color (in this case blue) is in the spinner divided the total amount of colors in the spinner, then the theoretical probability for each color is:

Pt = 1/5 = 0.20

The experimental probability can be found by dividing the number of times that the spinner landed on a given color (in this case for blue we have 15 times) divided the total number of spins ( 50)

Pe = 15/50 = 0.30

B) As we increment the number of spins, we should see that the experimental probability gets closer to the theoretical probability.

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what is the value of the reciprocal of $\frac{-2}{5}$? express your answer as a decimal to the nearest tenth.
olga2289 [7]

The reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.

<h3>What is the Reciprocal of a Number?</h3>

The reciprocal of a number can be described as the inverse of that number. For example, if a is given as a real number, therefore, the reciprocal of a would be 1/a.

Another example is a/b. The reciprocal of a/b is b/a.

Thus, the reciprocal of -2/5 is -5/2.

Expressing this as a decimal, we would have:

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Therefore, the reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.

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