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Maksim231197 [3]
3 years ago
12

A forest fire covers 2006 acres at time t equals 0. the fire is growing at a rate of 8 startroot t endroot acres per hour, where

t is in hours. how many acres are covered 24 hours later? round your answer to the nearest integer. the total area covered 24 hours later is entry field with incorrect answer 111811 acres. the tolerance is +/-2% click if you would like to show work for this question: open show work
Mathematics
1 answer:
MissTica3 years ago
8 0
<span>Answer: We'll have to integrate the growth rate with respect to time, without forgetting the amount of area covered at the start. A = 2010 + â« 8t1/2 dt (as t goes from 0 to 24) A = 2010 + [(16/3) t3/2] (as t goes from 0 to 24) A = 2010 + 627 = 2637 acres We don't integrate the 2010 here because whatever effects of the passing of time have already taken place over that area. We just treat it as a constant and add it to the result of integration.</span>
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Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size

Given that μ = 20, σ = 7, n = 125.

For x = 19.25:

z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62

From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Find out more on z score at: brainly.com/question/25638875

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2 years ago
Solve this system of equations by graphing. First graph the equations, and then type the solution. y=3x–2 y= – x+6 Click to sele
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Answer:

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Step-by-step explanation:

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The critical value of <em>z</em> for 99% confidence level is, <em>z</em> = 2.56.

Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:

CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}

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Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

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2 years ago
Y= -4x + 10? What is the slope of the line?
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Answer:

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Hope this helps! :)

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