Use Table V in Appendix A to determine the t-percentile that is required to construct each of the following two-sided confidence intervals. Round the answers to 3 decimal places.
(a) Confidence level = 95%, degrees of freedom = 19
(b) Confidence level = 95%, degrees of freedom = 30
(c) Confidence level = 99%, degrees of freedom = 17
(d) Confidence level = 99.9%, degrees of freedom = 14
In: Math
Let V be the vector space of all functions f : R → R. Consider the subspace W spanned by {sin(x), cos(x), e^x , e^−x}. The function T : W → W given by taking the derivative is a linear transformation
a) B = {sin(x), cos(x), e^x , e^−x} is a basis for W. Find the matrix for T relative to B.
b)Find all the eigenvalues of the matrix you found in the previous part and describe their eigenvectors. (One of the factors of the characteristic polynomial will be λ 2+1. Just ignore this since it has imaginary roots)
d) Use your answer to the previous part to find all the eigenvalues of T and describe their eigenvectors. Check that the functions you found are indeed eigenvectors of T.
In: Advanced Math
A fireworks rocket is moving at a speed of v = 45.7 m/s. The rocket suddenly breaks into two pieces of equal mass, which fly off with velocities v1 at an angle of theta1 = 30.7° and v2 at an angle of theta2 = 59.3° as shown in the drawing below.
In: Physics
A potential difference of 5.00 V will be applied to a 47.00 m length of 18-gauge tungsten wire (diameter = 0.0400 in). Calculate the current.
Calculate the magnitude of the current density.
Calculate the magnitude of the electric field within the wire.
Calculate the rate at which thermal energy will appear in the wire.
Tungsten: 5.28e-8
In: Physics
V
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The technique for calculating a bid price can be extended to many other types of problems. Answer the following questions using the same technique as setting a bid price; that is, set the project NPV to zero and solve for the variable in question. Guthrie Enterprises needs someone to supply it with 159,000 cartons of machine screws per year to support its manufacturing needs over the next five years, and you’ve decided to bid on the contract. It will cost $1,990,000 to install the equipment necessary to start production; you’ll depreciate this cost straight-line to zero over the project’s life. You estimate that in five years this equipment can be salvaged for $169,000. Your fixed production costs will be $284,000 per year, and your variable production costs should be $11.30 per carton. You also need an initial investment in net working capital of $149,000. The tax rate is 24 percent and you require a return of 13 percent on your investment. Assume that the price per carton is $17.90. |
| a. |
Calculate the project NPV. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
| b. |
What is the minimum number of cartons per year that can be supplied and still break even? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) |
| c. |
What is the highest fixed costs that could be incurred and still break even? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. |
In: Finance
U.S. v. Tillem.
The case is about of employees of the New York City Department of Health who inspect Manhattan restaurants to determine whether they comply with the City Health Code. The appellants are among 46 individuals arrested after a lengthy investigation into a scheme of corruption that took place in the New York City Department of Health (City Health Department or Department).
Gather information from multiple sources and provide a brief background or summary of the facts. Cite any paraphrasing and quotes from sources.Discuss both sides of the issue before reaching a conclusion, and justify your conclusion and how you arrived at that opinion.
In: Operations Management
A bullet (m = 10 g) flies horizontally with an initial speed of v = 500 m/s and then embeds itself in a block of wood (m = 400 g) that is at rest on a flat surface. The surface has a coefficient of kinetic friction μk = 0.4. After the impact, how far does the block of wood slide?
(a) 40 m (b) 800 m (c) 8 m (d) 80 m (e) 20 m
In: Physics
A circuit has a 2.9 V battery connected in series with a switch. When the switch is closed, the battery powers two paths in parallel, one of which has a resistor of resistance R1 = 80 Ω in series with an inductor of inductance L = 1×10−2 H , while the other has a resistor of resistance R2 = 230 Ω . What is the current supplied by the battery at a time t = 0.25 ms after the switch is closed? What is the current i1 supplied by the battery a time t = 0.25 ms after the switch is closed? Express your answer in amperes to three significant figures.
In: Electrical Engineering
A 100 Hz AC voltage source, with a peak output of 170 V, is connected to an inductor. If the rms current through the inductor is 1 A, what is the value of the inductor?
1. 1.9 H
2. 190 mH
3. 19 mH
4. 1.9 mH
In: Physics
A quantity of N molecules of an ideal gas initially occupies volume V. The gas then expands to volume 2V. The number of microscopic states of the gas increases in the expansion. Under which of the following circumstances will this number increases the most? ( i ) if the expansion is reversible and isothermal ( ii ) if the expansion is reversible and adiabatic ( iii ) the number will change by the same amount for both circumstances. Why ?
In: Physics