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Zanzabum
3 years ago
5

PLEASEEEE HELPP PLEASEEEE!! which one represents -7pi/3

Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0
A.
-7pi/3 = -420 degrees which means it rotates left
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According to Chebyshev's theorem, what percent of the values will fall between 100 and 124 for a data set that has a mean of 112
PIT_PIT [208]

Answer:

More than 88.889% of the values will fall between 100 and 124 for the data set that has a mean of 112 and a standard deviation of 4.

Step-by-step explanation:

The Chebyshev's theorem states that the probability of any random variable ''X'' assuming a value between a range of ''k times'' the standard deviation is at least 1-\frac{1}{k^{2}}

We can write mathematically this as :

P( μ - kσ < X < μ + kσ) \geq 1-\frac{1}{k^{2}} (I)

Where μ is the mean and σ is the standard deviation.

In this exercise :

μ = 112

σ = 4

If we replace this values in the equation (I) :

P(112-k(4)

The percent of the values falling between 100 and 124 can be written as :

P(100 (II)

This probability must be equal to P(112-k(4) (III)

Therefore if we work with (II) and (III) ⇒

(II) = (III) ⇒

P(100 ⇒

100=112-4k

124=112+4k

⇒ In any of the equations we find that

12=4k

k=3

Finally, we can write that

P(112-3(4)

P(100 ≅ 88.889%

According to Chebyshev's theorem, more than 88.889% of the values will fall between 100 and 124 for the data set.

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5,050 in scientific notation
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The answer would be 5.05x10^3
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