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Alexus [3.1K]
2 years ago
6

Use the laplace transform to solve the given initial-value problem. y' + y = (t − 1), y(0) = 3

Mathematics
1 answer:
GaryK [48]2 years ago
5 0

In mathematics, the Laplace transform, named after its discoverer Pierre Simon Laplace, transforms a function of real variables (usually in the time domain) into a function of complex variables (in the time domain). is the integral transform that Complex frequency domain, also called S-area or S-plane).

Learn more about Laplace transform here brainly.com/question/17062586

#SPJ4

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kondor19780726 [428]
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7 0
3 years ago
2.9 rounded to nearest hundredth
worty [1.4K]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
ccording to the U.S. National Weather Service, at any given moment of any day, approximately 1000 thunderstorms are occurring wo
viva [34]

Answer:

The critical value of <em>z</em> for 99% confidence interval is 2.5760.

The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

Step-by-step explanation:

Let <em>X</em> = number of lightning strikes on each day.

A random sample of <em>n</em> = 23 days is selected to observe the number of lightning strikes on each day.

The random variable <em>X</em> has a sample mean of, \bar x=8.1\ mn and the population standard deviation, \sigma=0.51\ mn.

The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:

CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Compute the critical value of <em>z</em> for 99% confidence interval is:

z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.5760

*Use a <em>z</em>-table.

The critical value of <em>z</em> for 99% confidence interval is 2.5760.

Compute the 99% confidence interval for population mean number of lightning strike as follows:

CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\=8.1\pm2.5760\times\frac{0.51}{\sqrt{23}}\\=8.1\pm0.2738\\=(7.8262, 8.3738)\\\approx(7.83, 8.37)

Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

The 99% confidence interval for population mean number of lightning strike  implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.

3 0
3 years ago
The measurements of a box are doubled. What happens to its volume?
jek_recluse [69]
V=LWH
if each is doubled
V=2L2W2H
V=2*2*2*LWH
V=8LWH
volume is multiplied by 8
8 0
3 years ago
Read 2 more answers
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Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

You have  to do total ratio

that will give you 20/15

4 0
2 years ago
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