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Nonamiya [84]
3 years ago
9

Someone Explain to me how 5. Is valid ???

Mathematics
1 answer:
vichka [17]3 years ago
6 0

This is valid through the law of syllogism. If you swap lines 1 and 2, then you'll have this argument:

If I step on a beehive, then I will get stung.

If I get stung by a bee, then it will hurt.

Therefore, if I step on a beehive, then it will hurt

------------------

So it's like connecting a chain together. Point A (stepping on the hive), leads to point B (getting stung), which leads to point C (getting hurt). We can take a shortcut to bypass point B to jump from A to C in one step. Check out the attached image for a visual of what I'm referring to.

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The spending at Target is distributed normally with a mean spending of $47.67 and a standard deviation of $5.50. What is the pro
Sphinxa [80]

Answer:

25.10% probability that the spending is between 46 and 49.56 dollars

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 47.67, \sigma = 5.5

What is the probability that the spending is between 46 and 49.56 dollars?

This is the pvalue of Z when X = 49.56 subtracted by the pvalue of Z when X = 46. So

X = 49.56

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

Z = \frac{49.56 - 47.67}{5.5}

Z = 0.34

Z = 0.34 has a pvalue of 0.6331

X = 46

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

Z = \frac{46 - 47.67}{5.5}

Z = -0.3

Z = -0.3 has a pvalue of 0.3821

0.6331 - 0.3821 = 0.2510

25.10% probability that the spending is between 46 and 49.56 dollars

3 0
3 years ago
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