History of corporate acquisitions. Refer to the Academy of Management Journal (August 2008) investigation of the performance and timing of corporate acquisitions, Exercise $2.12$ (p. 50). Recall that the investigation discovered that in a random sample of 2,778 firms, 748 announced one or more acquisitions during the year 2000 . Does the sample provide sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than $30 \%$ ? Use $\alpha=.05$ to make your decision.

A system of differential equations is given. Obtain an expression for each equilibrium (it may be a function of the constant a). $x^{\prime}=a(x-3), \quad y^{\prime}=5-y, \quad a \neq 0$

Roman History Do research to find out more about an aspect of ancient Rome or about real people such as Julius Caesar, Calpurnia, Brutus, Mark Antony, or Octavius. For example, you might find out more about the establishment of a Roman republic, Roman social structure, the role of women, Caesar's conquest of Gaul or crossing of the Rubicon, Brutus' famous ancestors, or the life and achievements of Antony or Octavius after the events of the play. Share your findings in an oral report.

While reading lines 32-35: Underline - hints that something bad will happen. Circle - the husband's behavior changes, In the Margin - list what is directly experienced by the narrator.

Solve the given system of differential equations.

$$x _ { 1 } ^ { \prime } = 2 x _ { 1 } , \quad x _ { 2 } ^ { \prime } = x _ { 2 } - x _ { 3 } , \quad x _ { 3 } ^ { \prime } = x _ { 2 } + x _ { 3 }.$$

Determine the system of differential equations corresponding to each compartment model and analyze the stability of the equilibrium (0, 0). a = 1.7, b = 0.6, c = 0.1, d = 0.3

What are the mean and standard deviation of the difference Y - X between the readings? (The readings X and Y are independent.)

A group of 200 college students were asked in what subject areas they took courses during their freshman year. Below are the results of this survey. From what subject area did the fewest number of freshman take courses? What percentage of these freshman took Anatomy & Physiology? What percentage took Chemistry?\

Base your answers on the reading ”La herencia hispana en Ios Estados‘ Unidos”. Based on the reading, which one of the following statements is not true? F. All four cities are important to the economy of their states. G. All four cities were initially religious centers or missions. H. All four cities have preserved their Spanish heritage through architecture. J. All four cities are located in states with large Spanish-speaking populations.

Graph several functions that satisfy the following differential equations. Then find and graph the particular function that satisfies the given initial condition. f'(x)=2x-5; f(0)=4

Write the vector formulation for the given system of differential equations.

$$x _ { 1 } ^ { \prime } = e ^ { 2 t } x _ { 2 } , x _ { 2 } ^ { \prime } + ( \sin t ) x _ { 1 } = 1.$$

Determine the system of differential equations corresponding to each compartment model and analyze the stability of the equilibrium (0, 0). a = 0.1, b = 1.2, c = 0.5, d = 0.05

Match each of the given differential equations with one or more of these solutions: (a) y = 0, (b) y = 2, (c) y = 2x, (d) $y=2 x^{2}$. $x y^{\prime \prime}-y^{\prime}=0$

Assume you have a well-established credit history and have filled out an application for credit at a local department store. The store has notified you that it cannot give you credit because you have a poor credit rating. You have not missed any payments or made any late payments, and you have paid off previous debts as agreed. What are your rights, and what are some things you should do? What responsibilities does the credit bureau have to you?