The 2-kg pendulum bob is released from rest when it is at

Probability and Statistical Inference 9
Let \(X_{1}\) and \(X_{2} be independent Poisson random variables with respective means \(\lambda_{1}=2\) and \(\lambda_{2}=3\). Find = 2 and = 3. Find (a) \(\mathrm{P}\left(X_{1}=3, X_{2}=5\right)\) (b) \(\mathrm{P}\left(X_{1}+X_{2}=1\right)\) Hint. Note that this event can occur if and

Principles of General Chemistry 2
Problem 65P Disulfur decafluoride is intermediate in reactivity between SF4 and SF6. It disproportionates at 150C to these monosulfur fluorides. Write a balanced equation for this reaction, and give the oxidation state of S in each compound.

Elementary Statistics: A Step By Step Approach 9
Problem 18CQ Hours Spent Studying A university dean wishes to estimate the average number of hours that freshmen study each week. The standard deviation from a previous study is 2.6 hours. How large a sample must be selected if he wants to be 99% confident of finding whether the true mean differs f

Sears and Zemansky's University Physics with Modern Physics 13
Problem 36E Martian Climate. The atmosphere of Mars is mostly CO2 (molar mass 44.0 g/mol) under a pressure of 650 Pa, which we shall assume remains constant. In many places the temperature varies from 0.0o C in summer to 100o C in winter. Over the course of a Martian year, what are the ranges of (

Chemistry 11
The following Lewis structures for (a) HCN, (b) \(\mathrm{C_2H_2}\), (c) \(\mathrm{SnO_2}\), (d) \(\mathrm{BF_3}\) (e) HOF, (f) HCOF. and (g) \(\mathrm{NF_3}\) are incorrect. Explain what is wrong with each one and give a correct structure for the molecule. (Relative positions of atoms are shown corr

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 4
(II) In a certain region of space, the electric potential is given by V = y2 + 2.5xy - 3.5jcyz. Determine the electric field vector, E, in this region.

Urban Economics 8
The city of Medianville has 100 citizens with income ranging from $20,000 to $70,000. The average income is $50,000 and the median income is $60,000. An individuals demand for open space depends only on income, and the indi- vidual demand curve (marginal benefit curve) has a vertical intercept equal

Single Variable Essential Calculus: Early Transcendentals 2
Evaluate the integral using integration by parts with the indicated choices of u and dv \(\int \theta \cos \theta d \theta ; \quad u=\theta, d v=\cos \theta d \theta\).