4.

(a) Derive an integral expression for the probability of a gas molecule of mass m, at temperature T is moving faster than a certain speed v_min.

(b) A particle in the atmosphere near the earth’s surface traveling faster than 11 km/s has enough kinetic energy to escape from the earth’s gravitational pull. Therefore, molecules in the upper atmosphere will escape if they do not have collisions on the way out. The temperature of the upper atmosphere is about 1000K. Using the result for (a) and numerical computation to determine the probability that a N₂ molecule at this temperature will escape from the upper atmosphere? Repeat the calculation for a He atom. The escape velocity for the moon is about 2.4 km/s. Explain why the moon has no atmosphere

You will play the role of a researcher, interested in gathering data on Girl Scout Cookie sales. This can easily be done by setting up a table near where the girl scouts sell their cookies and surveying people after they’ve made their purchase.

1. Please craft a three-question survey that will gather data on a specific aspect of Girl Scout Cookie sales.
2. Identify the variables in your survey questions, categorizing them as either qualitative or quantitative. Briefly explain your reasoning.
3. For any variables identified as quantitative, further, define the variable as either discrete or continuous. Briefly explain your reasoning.
4. Determine whether the survey results can be generalized to the overall population - why or why not?

1) Which ion does not have a noble gas configuration in its ground state? A) Sc3+ B) Al3+ C) Ga3+ D) As3-

2) Give the ground state electron configuration for Pb

3) Which of the following statements is false?

A) An orbital can accommodate at most two electrons.

B) The electron density at a point is proportional to ψ² at that point.

C) The spin quantum number of an electron must be either + 1/2 or – 1/2 .

D) A 2p orbital is more penetrating than a 2s; i.e., it has a higher electron density near the nucleus and inside the charge cloud of a 1s orbital.

E) In the usual order of filling, the 6s orbital is filled before the 4f orbital.

For a relatively weak gravitational field, such as that of a planet or an ordinary star, the following formula tells us the fractional amount of gravitational time dilation at a distance r from the center of an object of mass Mobject:
1c2×GMobjectr
(G=6.67×10?11m3/(kg×s2); c=3×108m/s.) For example, while 1 hour passes in deep space far from the object, the amount of time that passes at a distance r is 1 hour minus 1 hour multiplied by the factor above. (This formula does not apply to strong gravitational fields, like those near black holes.)

A) Calculate the amount of time that passes on Earth's surface while 3.0 hour passes in deep space.

The Tasty Sub Shop Case:

A business entrepreneur uses simple linear regression analysis to predict the yearly revenue for a potential restaurant site on the basis of the number of residents living near the site. The entrepreneur then uses the prediction to assess the profitability of the potential restaurant site.

And

The QHIC Case:

The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC’s products and services.

Discuss the difference in the type of prediction in both cases and provide rational of the reasons that these predictions were used.

The Tasty Sub Shop Case: A business entrepreneur uses simple linear regression analysis to predict the yearly revenue for a potential restaurant site on the basis of the number of residents living near the site. The entrepreneur then uses the prediction to assess the profitability of the potential restaurant site. And The QHIC Case: The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC’s products and services. Discuss the difference in the type of prediction in both cases and provide rational of the reasons that these predictions were used

A doubly‑ionized carbon atom (with charge +2e) is located at the origin of the x‑axis, and an electron (with charge −e)is placed at x=8.76 cm.There is one location along the x‑axis at which the electric field is zero. Give the x‑coordinate of this point in centimeters.

x‑coordinate:

cm

Assume that the potential is defined to be zero infinitely far away from the particles. Unlike the electric field, the potential will be zero at multiple points near the particles. Find the two points along the x‑axis at which the potential is zero, and express their locations along the x‑axis in centimeters, starting with the point that is farther away from the origin.

x‑coordinate of the farther point:

cm

x‑coordinate of the closer point:

cm

1. How will a stronger euro affect the following economic agents?
a. A German exporter to England.
b. A Chilean tourist visiting the Netherlands.
c. A Canadian bank investing in a Greek government bond.
d. A German exporter to France.

2. Indicate whether each of the following creates a demand for or a supply of European euros in foreign exchange markets:

a. Newman purchases an Airbus plane assembled in France.

b. Mercedes-Benz decides to build an assembly plant in Charleston.

c. A Newman student decides to spend a year studying at the Sorbonne in Paris.

d. An Italian manufacturer ships machinery from Rome to Venice on an Egyptian freighter.

e. It is widely expected that the euro will depreciate in the near future.

A chandelier with mass mmm is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension T1T1T_1 and makes an angle of θ1θ1theta_1 with the ceiling. Cable 2 has tension T2T2T_2 and makes an angle of θ2θ2theta_2 with the ceiling.

Find an expression for T1T1T_1, the tension in cable 1, that does not depend on T2T2T_2.

I have been trying to answer this one question and can't seem to get a correct order if someone can please help me.

Zaki, a developer, has a plot of 20-acre land near Klang town. He is considering whether to build a row of single story terrace houses or bungalow houses. He also has the option of not to proceed with the project. Given a favorable market, he estimate that he will earn a profit of RM60,000 if he builds single story terrace houses and RM800,000 if he builds bungalow houses. However, with an unfavorable market condition, he estimates that he will lose RM100,000 with the single story houses and RM400,000 with the bungalow houses. The probability of favorable market is 0.7.