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evablogger [386]
2 years ago
5

What is the effect of multiplying both sides of an inequality by a negative number? Explain and give an example.

Mathematics
1 answer:
tester [92]2 years ago
5 0

Answer: You would swap the ineqaulity

Step-by-step explanation:

Multiplying or dividing both sides by a negative number reverses the inequality. This means < changes to >, and vice versa. For example, given that 5 < 8 we can multiply both sides by 6 to obtain 30 < 48 which is still true.

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Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon
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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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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}

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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

0.0026 x 100% = 0.26%

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

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