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OlgaM077 [116]
3 years ago
14

A point is reflected in the x-axis. The reflected point is (2,1). a. What is the original point? And b: what is the distance bet

ween the points?
Mathematics
1 answer:
Lilit [14]3 years ago
3 0
A.(2,-1) i think and B.is 6
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3 years ago
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}

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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.

3 0
3 years ago
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