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Nicholas Wilson

Nicholas W.

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ANSWERED

Umar Sohail Qureshi verified

Numerade educator

Let $X$ denote the number of Canon digital cameras sold during a particular week by a certain store. The pmf of $X$ is $\begin{array}{c|ccccc}{x} & {0} & {1} & {2} & {3} & {4} \\ \hline p_{X}(x) & {.1} & {.2} & {.3} & {.25} & {.15} \\ \hline\end{array}$ Sixty percent of all customers who purchase these cameras also buy an extended warranty. tell $Y$ denote the number of purchasers during this week who buy an extended warranty. (a) What is $P(X=4, Y=2) ?[$Hint: This probability equals $P(Y=2 | X=4) \cdot P(X=4) ;$ now think of the four purchases as four trials of a binomial experiment, with success on a trial corresponding to buying an extended warranty 1 (b) Calculate $P(X=Y)$ (c) Determine the joint pmf of $X$ and $Y$ and then the marginal pmf of $Y .$

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David Morabito verified

Numerade educator

A U-shaped tube open to the air at both ends contains some mercury. A quantity of water is carefully poured into the left arm of the U-shaped tube until the vertical height of the water column is 15.0 cm ($\textbf{Fig. P12.59}$). (a) What is the gauge pressure at the water$-$mercury interface? (b) Calculate the vertical distance $h$ from the top of the mercury in the righthand arm of the tube to the top of the water in the left-hand arm.

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ANSWERED

Jon Southam verified

Numerade educator

(a) Use a graph to estimate the $x$ -values of any critical points and inflection points of $f(x)=e^{-x^{2}}$ (b) Use derivatives to find the $x$ -values of any critical points and inflection points exactly.

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Christopher Dzorkpata verified

Numerade educator

(I) Rays of the Sun are seen to make a 36.0$^\circ$ angle to the vertical beneath the water. At what angle above the horizon is the Sun?

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Darshan Maheshwari verified

Numerade educator

World-class sprinters can accelerate out of the starting blocks with an acceleration that is nearly horizontal and has magnitude 15 m/s$^2$. How much horizontal force must a 55-kg sprinter exert on the starting blocks to produce this acceleration? Which body exerts the force that propels the sprinter: the blocks or the sprinter herself?

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Ma Ednelyn Lim verified

Numerade educator

What is the change in internal energy of a system if the system (a) absorbs $58 \mathrm{J}$ of heat and does $58 \mathrm{J}$ of work; (b) absorbs $125 \mathrm{J}$ of heat and does $687 \mathrm{J}$ of work; (c) evolves 280 cal of heat and has 1.25 kJ of work done on it?

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Hubert Agamasu verified

Numerade educator

An organ pipe has two successive harmonics with frequencies 1372 and 1764 $\mathrm{Hz}$ (a) Is this an open or a stopped pipe? Explain. (b) What two harmonics are these? (c) What is the length of the pipe?

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INSTANT ANSWER

The following image is an electrostatic potential map for ethylene oxide, (CH2)2O, a polar molecule. Use the electrostatic potential map to predict the geometry for how one ethylene oxide molecule interacts with another. Draw structural formulas, using the three-dimensional bond notation introduced in Section 5.9, to show the geometry of the interaction.

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Tracy Tourville verified

Numerade educator

Consider the decay series $$A \longrightarrow B \longrightarrow C \longrightarrow D$$ where $A, B,$ and $C$ are radioactive isotopes with halflives of 4.50 s, 15.0 days, and 1.00 s, respectively, and $D$ is nonradioactive. Starting with 1.00 mole of A, and none of $\mathrm{B}, \mathrm{C},$ or $\mathrm{D},$ calculate the number of moles of $\mathrm{A}, \mathrm{B}, \mathrm{C},$ and $\mathrm{D}$ left after 30 days.

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INSTANT ANSWER

Consider the following values for enthalpy of vaporization $(\mathrm{k}] / \mathrm{mol}$ ) of several organic substances:(a) Account for the variations in heats of vaporization for these substances, considering their relative intermolecular forces. (b) How would you expect the solubilities of these substances to vary in hexane as solvent? In ethanol? Use intermolecular forces, including hydrogen-bonding interactions where applicable, to explain your responses.

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