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Usimov [2.4K]
3 years ago
6

Find the inverse laplace transform​

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0
Ummmmm good luckskk,,
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Paleomagnetic studies of Canadian volcanic rock known as the Carmacks Group have recently been completed. The studies revealed t
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Answer:

a) 0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers

b) 0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers

c) 1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.

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 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.

Standard deviation of 500 kilometers

This means that \sigma = 500

a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?

Mean of 1500 km means that \mu = 500

The probability is the pvalue of Z when X = 500. So

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

Z = \frac{500 - 1500}{500}

Z = -2

Z = -2 has a pvalue of 0.0228

0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers.

b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?

Now \mu = 1200

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

Z = \frac{500 - 1200}{500}

Z = -1.4

Z = -1.4 has a pvalue of 0.0808

0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers.

c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?

1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.

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2 years ago
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I think she would make 4.14 more dolls per month. Hope this helps.
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3 years ago
What is the vertex of x2 + 8x + 12?
gregori [183]

Answer:

(-4,-4)

YW :))

Or you could of just looked it up cause thats what I did!!

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Find f(t – 3) for f(x) = 4x2 – 8x + 4.
GarryVolchara [31]

Answer:

4t^2 - 32t + 64.

Step-by-step explanation:

f(x) = 4x2 – 8x + 4

f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4

= 4(t^2 - 6t + 9) - 8t + 24 + 4

= 4t^2 - 24t + 36 - 8t + 28

=  4t^2 - 32t + 64.

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3 years ago
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