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Leona [35]
2 years ago
6

Write the word sentence as an inequality. Then solve the inequality.

Mathematics
1 answer:
ss7ja [257]2 years ago
6 0

Answer:

x/7<-3

x<-21

Step-by-step explanation:

x/7<-3

multiply the seven to get rid of x denominator

x<-21

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Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon
Annette [7]

Using the normal distribution, it is found that 0.26% of the items will either  weigh less than 87 grams or more than  93 grams.

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}

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In this problem:

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  • The standard deviation is of 1 gram, hence \sigma = 1.

We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:

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

Z = \frac{3}{1}

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The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.

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2 x 0.0013 = 0.0026

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0.26% of the items will either  weigh less than 87 grams or more than  93 grams.

For more on the normal distribution, you can check brainly.com/question/24663213

4 0
2 years ago
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