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sveta [45]
3 years ago
8

Please i need help!!!

Mathematics
1 answer:
Aloiza [94]3 years ago
4 0

Answer:

a. 2,112

b. 64

Step-by-step explanation:

a. Using the explanation in B, let's find every term and add them.

<u>Work:</u>

96, 94, 92, 90, 88, 86, 84, 82, 80, 78, 76, 74, 72, 70, 68, 66, 64, 62, 60, 58, 56, 54, 52, 50, 48, 46, 44, 42, 40, 38, 36, 34, 32.

32 is the 34th term, the last row.

<u>Add:</u>

2,112 books is your answer.

b.The following is a sequence, meaning that there's a repeated change for every number.

This change is: -2

We're asked to find the 17th term.

<u>Work:</u>

96, 94, 92, 90, 88, 86, 84, 82, 80, 78, 76, 74, 72, 70, 68, 66, 64.

64 is the amount of books on the 17th row.

*64 is the 17th term.

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Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.

In a <em>normal distribution</em> with mean \mu and standard deviation \sigma, 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.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

  • The mean is of 3 inches, hence \mu = 3.
  • The standard deviation is of 0.009 inches, hence \sigma = 0.009.

Nails that are <u>more than 0.02 inches</u> from the mean are unusable, hence:

Z = \frac{0.02}{\sigma}

Z = \frac{0.02}{0.009}

Z = 2.22

The proportion is P(|Z| > 2.22), which is <u>2 multiplied by the p-value of Z = -2.22</u>.

Z = -2.22 has a p-value of 0.0132.

2 x 0.0132 = 0.0264

0.0264 x 100% = 2.64%

2.64% of all the nails produced by this machine are unusable.

You can learn more about the normal distribution at brainly.com/question/24663213

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Answer:

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