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The surfaces $\rho=3, \rho=5, \phi=100^{\circ}, \phi=130^{\circ}, z=3$, and $z=4.5$ define a closed surface. Find ( $a$ ) the enclosed volume; $(b)$ the total area of the enclosing surface; $(c)$ the total length of the twelve edges of the surfaces: (d) the length of the longest straight line that lies entirely within the volume.

Engineering Electromagnetics

An interior designer makes a presentation to potential clients and this results in sales of her services in $35 \%$ of the cases. Let $X$ denote the number of sales in the next four presentations. Assuming the results for different clients are independent, calculate the probabilities $f(x)=P[X=x]$ for $x=0,1, \ldots, 5$ and find (a) $P[X \leq 3]$ (b) $P[X \geq 3]$ (c) $P[X=2$ or 4$]$

Statistics Principles and Methods

Probability Distributions

The Binomial Distribution

A salesman of small-business computer systems will contact four customers during a week. Each contact can result in either a sale, with probability $.3,$ or no sale, with probability .7. Assume that customer contacts are independent. (a) List the elementary outcomes and assign probabilities. (b) If $X$ denotes the number of computer systems sold during the week, obtain the probability distribution of $X$. (c) Calculate the expected value of $X$.

Statistics Principles and Methods

Probability Distributions

Expectation (Mean) and Standard…

Three boxps are placed on the incline in contact with each other snd released from rest. The coefficieuts of static friction under boxes $A, B$, and $C$ are $0.30,0.20$, and $0.35$, respectively. Describe what happens.

Meriam's Engineering Mechanics: Statics

Questions asked

INSTANT ANSWER

1. Given the circuit, calculate the currents in each resistor using: Kirchhoff's Laws 2. Find the value of voltage Vab using KVL.

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BEST MATCH

\( \int \cos ^{6}\left(\frac{t}{2}\right) d t \)

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ANSWERED

Dominique Jan Tan verified

Numerade educator

6. A 2.85 g sample of a food substance was burned in a calorimeter that had a heat capacity of 9.84 kJ/°C. The temperature of the calorimeter increased from 22.51°C to 35.66°C. Calculate the amount of heat released per gram of the substance. a) 56.17 kJ/g b) 49.98 kJ/g c) 45.40 kJ/g d) 28.44 kJ/g

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ANSWERED

Dominique Jan Tan verified

Numerade educator

9. Consider the gases CO2, He, Cl2, CO, CH4, N2 at 25 °C: a) place them in order of increasing average molecular speed. b) calculate and compare the rms speeds of CO(g) and CO2(g). c) calculate the rate of diffusion of gases CH4(g) and He. d) which gas effuses 1.41 times faster than O2(g)? e) which two gases have the same rate of diffusion?

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INSTANT ANSWER

39. If the sum of the surface areas of a sphere and a cube is fixed, what is the ratio of the radius of the sphere to the edge of the cube when the sum of their volumes is least. Ans. Edge of cube \( = \) twice radius of sphere.

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ANSWERED

Timothy James verified

Numerade educator

31. Find the length of the shortest line segment tangent to ellipse 4x² + 9y² = 36, and terminated by the coordinate axes. Ans. L = 5.

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INSTANT ANSWER

23. Find the dimensions of the largest box with a square base that can be cut from a solid sphere of radius 6 inches. Ans. a cube of edge \( 4 \sqrt{3} \) inches.

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INSTANT ANSWER

Find the dimensions of the largest box with a square base that can be cut from a solid sphere of radius 6 inches.

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Sarah Parrigin verified

Numerade educator

15. Find the shortest distance from the curve ( y=frac{x^{3}}{4} ) to the point ( (8,0) ). Ans. ( mathrm{d}=2 sqrt{10} ).

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Dj Tan verified

Numerade educator

Determination Of Air Pollutants (NO3) In Cigarette Smoke 1.Write the simplified equations for the following: a. Formation of ozone in presence of nitrogen dioxide (occurs in the troposphere) b. Reaction of ozone with nitric oxide c. Reaction of nitrogen and oxygen gas in a car's combustion chamber to form nitric oxide and nitrogen dioxide

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