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Bingel [31]
3 years ago
7

Empirical rule (statistics)Help please!!!

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

The empirical rule you're referring to is the 68-95-99.7 rule, which asserts that for a normal (bell-shaped) distribution, approximately 68% of the distribution lies within 1 standard deviation of the mean; 95% lies within 2 standard deviations of the mean; and 99.7% lies within 3 standard deviations of the mean.

Let X be the random variable denoting vehicle speeds along this highway. We want to find P(61. To use the rule, we need to rephrase this probability in terms of the mean and standard deviation.

Notice that 61=70-9=70-3\cdot3, and 79=70+9=70+3\cdot3. In other words, 61 and 79 both lie exactly 3 standard deviations away from the mean, so P(61.

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Answer: x = 0

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Step-by-step explanation:

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x+y+z=1 - - - - - - - - - - 1

-2x+4y+6z=2 - - - - - - - - - 2

-x+3y-5z=11 - - - - - - - - - 3

Step 1

We would eliminate x by adding equation 1 to equation 3. It becomes

4y -4z = 12 - - - - - - - - - 4

Step 2

We would multiply equation 1 by 2. It becomes

2x + 2y + 2z = 2 - - - - - - - - - 5

We would add equation 2 and equation 5. It becomes

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Step 3

We would multiply equation 4 by 6 and equation 6 by 4. It becomes

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We would subtract equation 8 from equation 7. It becomes

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Substituting z = -1 into 7, it becomes

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24y = 72 - 24 = 48

y = 48/24 = 2

Substituting y = 2 and z = -1 into equation 1, it becomes

x + 2 - 1 = 1

x = 1 - 1 = 0

4 0
3 years ago
32 + y - 2y?<br> Re write the equation with the variable with the highest exponent first
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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