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kirza4 [7]
3 years ago
6

What is the solution for x in the equation?​

Mathematics
1 answer:
Sveta_85 [38]3 years ago
3 0

Answer:

3

Step-by-step explanation:

combine like terms (so 1/2 and 3/2): 2 - x = x - 4

add x to both sides: 2 = 2x - 4

add 4 to both sides: 6 = 2x

divide both sides by 2: 3 = x

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Using the normal distribution, it is found that the correct option is:

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In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
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In this problem:

  • Mean of 20 ounces, hence \mu = 20.
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P(Y < 16) is the <u>p-value of Z when X = 16</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{16 - 20}{2.3}

Z = -1.74

Z = -1.74 has a p-value of 0.041.

This is valid for the entire population, hence, the correct interpretation is:

  • P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces

A similar problem is given at brainly.com/question/24663213

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