Numerade

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In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than those participants who were sleep-deprived. a. Which part of the study represents the descriptive branch of statistics? (2.5kta) b. Make an inference based on the results of the study.

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The atmospheric pressure p on a balloon or an aircraft decreases with increasing height. This pressure, measured in millimeters of mercury, is related to the height h (in kilometers) above sea level by the formula p equals 760 e Superscript negative 0.145 h Baseline .p=760e−0.145h. (a) Find the height of an aircraft if the atmospheric pressure is 305305 millimeters of mercury. (b) Find the height of a mountain if the atmospheric pressure is 666666 millimeters of mercury. Question content area bottom Part 1 (a) The height of the aircraft is enter your response here kilometers. (Round to two decimal places as needed.)

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In an integro-differential equation, the unknown dependent variable y appears within an integral, and its derivative dy/dt also appears. Consider the following initial value problem, defined for t > 0: $$ \frac{dy}{dt} + 9 \int_0^t y(t-w) e^{-6w} dw = 6, \quad y(0) = 0. $$ a. Use convolution and Laplace transforms to find the Laplace transform of the solution. $$ Y(s) = \mathcal{L}\{y(t)\} = $$ b. Obtain the solution y(t). $$ y(t) = $$

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A charge QQ is transferred from an initially uncharged plastic ball to an identical ball 34 cmcm away. The force of attraction is then 70 mNmN .

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Determine whether the lines and $L_1: \frac{x+1}{1} = \frac{y-7}{1} = \frac{z+1}{1}$ $L_2: \frac{x+8}{2} = \frac{y+2}{3} = \frac{z+12}{4}$ intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks empty. The lines ? Point of intersection: (, , )

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Solve the initial value problem \begin{equation*} 10(t+1)\frac{dy}{dt} - 8y = 16t, \end{equation*}for $t > -1$ with $y(0) = 16$. Put the problem in standard form. Then find the integrating factor, $p(t) = ext{________}$ and finally find $y(t) = ext{________}$

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Scientific papers are the vital currency of academic work and the dissemination of knowledge. a) True b) False

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Detective controls are written policies, procedures, guidelines, regulations, laws, and rules of any kind. A True B False

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16. A marine predator a. Will always decrease the number of species in a community b. Might under some circumstances maintain high diversity in a community c. Will inevitably drive to extinction the rarest prey species d. Always will be rarer than all prey species

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BEST MATCH

Is the series \sum_{n=1}^{\infty} \frac{\cos(n \frac{\pi}{2})}{\sqrt{n}} convergent? Justify your answer.

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justin b.