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Ratling [72]
3 years ago
13

NEED HELP! What is the first step to solve the equation a=2d/t^2 , where a is acceleration, d is the distance, and t is time. If

an object accelerates at a rate of 2(m/s^2) for 10 meters, what is the total time elapsed?

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Plug in <em>a</em> = 2 m/s^2 and <em>d</em> = 10 m, and solve for <em>t</em> (in s):

a=\dfrac{2d}{t^2}\iff2\dfrac{\rm m}{\mathrm s^2}=\dfrac{2\cdot10\,\mathrm m}{t^2}

\implies t^2=\dfrac{20\,\rm m}{2\frac{\rm m}{\mathrm s^2}}=10\,\mathrm s^2

\implies t=\sqrt{10}\,\mathrm s

So the answer is C.

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36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence
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Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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n = 100, \pi = \frac{36}{60} = 0.6

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The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

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