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PtichkaEL [24]
2 years ago
7

Write the sentence as an equation, then solve.

Mathematics
1 answer:
kodGreya [7K]2 years ago
3 0

Answer:

The sentence written as an equation is 3x + 2 = 17

The solution is x = 5

Step-by-step explanation:

First, create the equation

2 more than 3 times a number x can be represented by 3x + 2

Set this equal to 17, to get the equation 3x + 2 = 17

Now, solve for x:

3x + 2 = 17

3x = 15

x = 5

So, the sentence written as an equation is 3x + 2 = 17

The solution is x = 5

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Using the Empirical Rule and the Central Limit Theorem, we have that:

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  • About 99.7% of the sample mean fall with in the intervals $1.46 and $2.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

<h3>What does the Central Limit Theorem state?</h3>

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the standard deviation of the distribution of sample means is:

s = \frac{0.657}{\sqrt{50}} = 0.09

68% of the means are within 1 standard deviation of the mean, hence the bounds are:

  • 1.73 - 0.09 = $1.64.
  • 1.73 + 0.09 = $1.82.

99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:

  • 1.73 - 3 x 0.09 = $1.46.
  • 1.73 + 3 x 0.09 = $2.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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2 years ago
Find the distance between the point (-6, 7) and (-1, -2)
Anton [14]

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3 years ago
How to evaluate the expression
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= [36]^3 - (-7) \times (-10)

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= 8 - 9 \times (-2)

= 8 - (-18)

= 8 + 18

= 26

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WARRIOR [948]

Answer:

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Step-by-step explanation:

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So 600-36= $564

7 0
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Answer:

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(5.1*10)^4

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