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son4ous [18]
2 years ago
7

During the summer, she likes her soccer skills so that she is ready to play in the fall

SAT
1 answer:
valina [46]2 years ago
4 0

Answer:

to practice

Explanation:

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the distribution of lengths of salmon from a certain river is approximately normal with standard deviation 3.5 inches. if 10 per
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Complete question;

<em>The distribution of lengths of salmon from a certain river is approximately normal with a standard deviation of 3.5 inches. If 10 percent of salmon are longer than 30 inches, which of the following is closest to the mean of the distribution? 26 inches A 28 inches B 30 inches C 33 inches D 34 inches</em>

Option B is correct. The value that is closest to the mean of the distribution is 30inches.

The formula for calculating the z-score is expressed as:

z=\frac{ x-\mu}{\sigma}

Given the following parameters

\sigma = 3.5\\x = 26in

If 10 percent of salmon are longer than 30 inches, then:

  • P(x>30) = 0.1

Using the z table to get the value corresponding to the mean area 0.1.

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Substitute the resulting parameters into the formula to get the mean of the distribution.

z=\frac{x-\mu}{\sigma}\\-1.285=\frac{26-\mu}{3.5}\\-1.285 \times 3.5 = 26 - \mu\\ -4.4975 = 26 - \mu\\\mu = 26 + 4.4975\\\mu = 30.4975\\\mu \approx 30in

Hence the value that is closest to the mean of the distribution is 30inches.

Learn more here: brainly.com/question/15295437

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