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Westkost [7]
4 years ago
15

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 5r ≤ 6r – 8

Mathematics
1 answer:
Korvikt [17]4 years ago
6 0
5r < = 6r - 8
subtract 6r from both sides
-r < = -8
divide both sides by -1, when you divide by a negative switch the inequality sign
r > = 8
Solution Set { 8, 9, 10}
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If the weight (in grams) of cereal in a box of Lucky Charms is N(489,6), what is the probability that the box will contain less
Wittaler [7]

Answer:

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N(489,6)

This means that \mu = 489, \sigma = 6

What is the probability that the box will contain less than the advertised weight of 466 g?

This is the p-value of Z when X = 466. So

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

Z = \frac{466 - 489}{6}

Z = -3.83

Z = -3.83 has a p-value of 0.000064

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

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Les is sending 8 identical catalogs to one of his customers.
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Answer:

0.85

Step-by-step explanation:

divide 6.80 by eight and it gives you 0.85. Hope this helped!

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3 years ago
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