Copy these sentences, adding colons, semicolons, or ellipsis points where necessary. Hamill's neighborhood was home to a diverse group of people the Irish, the Jews, and the Italians.

Suppose an Italian bank has short-term borrowings of 400 million euros and 100 million U.S. dollars and made long-term loans of 300 million euros and 250 million U.S. dollars. The euro–dollar exchange rate is initially $1.50 per euro.

c. If the euro–dollar exchange rate moved to$1.60 per euro, would the bank gain or lose? Provide calculations to support your answer.

The sequence whose terms are 1, 1, 2, 3, 5, 8, 13, 21, . . . is called the Fibonacci sequence in honor of the Italian mathematician Leonardo (“Fibonacci”) da Pisa (c. 1170–1250). This sequence has the property that after starting with two 1’s, each term is the sum of the preceding two. Denoting the sequence by

$$\left\{ a _ { n } \right\}$$

and starting with

$$a_1$$

=1 and

$$a_2$$

=1, show that

$$\frac { a _ { n + 2 } } { a _ { n + 1 } } = 1 + \frac { a _ { n } } { a _ { n + 1 } } \quad \text { if } n \geq 1$$

The following sentences are mixed up. Rearrange them so that they are grammatically correct and make sense. Do not forget to conjugate verbs where appropiate.
la comida/ italiana/ encantar/ a Vanesa y a mi/ nos

Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form . (You can ignore differences in past, present, and future tense.) If the young knew and the old could, everything can be done. (Italian proverb)

$$\frac { \text {The young do not know and the old cannot.} } { \therefore \text {Some things cannot be done .} }$$

Determine whether the relationshlp between the two quantities shown in the table is linear. If so, find the constant rate of change. If not, explain your reasoning. Italian Dressing Recipe

$$\begin{array}{|l|l|l|l|l|} \hline{\text { Oil }(\mathrm{c})} & {2} & {4} & {6} & {8} \\ \hline \text { Vinegar (c) } & {\frac{3}{4}} & {1 \frac{1}{2}} & {2\frac{1}{4}} & {3} \\ \hline\end{array}$$

Rewrite the paragraph on the following page, adding or deleting commas in order to correct sentences that are incorrectly punctuated. If a sentence is already correct, write $C$.

EXAMPLE: Do you know what the second-largest, Russian city is? Do you know what the second-largest Russian city is?

Peter hired leading Russian French, and Italian architects to create a city with planned squares, wide avenues, and extensive park and gardens.

Estás leyendo un libro sobre la historia del encuentro entre los europeos y los indígenas, pero se borraron algunas palabras. Completa las frases. Sarita Montiel tiene antepasados italianos, españoles y portugueses. Ella es de _____ europea.

The sequence whose terms are $1,1,2,3,5,8,13,21 \ldots$ is called the Fibonacci sequence in honor of the Italian mathematician Leonardo ("Fibonacci") da Pisa (c. 1170-1250). This sequence has the property that after starting with two 1 's, each term is the sum of the preceding two.

Give a reasonable informal argument to show that if the sequence $\left\{a_{n+1} / a_n\right\}$ converges to some limit $L$, then the sequence $\left[a_{n+2} / a_{n+1}\right]$ must also converge to $L$.

In $1991$ , the frozen remains of a Neolithic-age man, nicknamed Otzi, were found in the Italian Alps by hikers. The body was well preserved, as were his bow, arrows, knife, axe, other tools, and clothing. The date of his death can be determined using carbon-$14$ dating. For Otzi, the activity per gram of carbon was measured to be $0.121$. How long ago did he live?

The Italian economist Vilfredo Pareto (1848-1923) perceived that wealth is not evenly distributed throughout a country. Most of the wealth is owned by relatively few members of the population. Pareto's Principle is an equation that relates the level of wealth (the amount of money a person has) to the number of people in the country that have that much money. For a certain country, the equation is shown below.

$$y=3.9-2.5 \log _{10} W$$

Explain how the constants in this equation transform the graph of the parent function $y=\log _{10} x$.

Correct the punctuation in the following sentences by placing semicolons and colons where they are needed. If a sentence contains an incorrect comma, draw a caret (^) over the comma, and write the correct punctuation above the caret.

Example 1. A. Thomas is a very unusual author$\overset{\textit{\color{#c34632}{;}}}{{,\\\color{#c34632}{_\wedge}}}$ she wrote her first book at the age of thirteen.

Henry prefers Italian food, Lisa prefers Chinese food.

Chatterjee et al. (1995, p. 132) described a study about the effect of condoms in reducing the spread of AIDS. This two-year Italian study followed heterosexual couples where one partner was infected with the HIV virus. Of 171 couples who always used condoms, 3 partners became infected with HIV , whereas of 55 couples who did not always use condoms, 8 partners became infected. Test whether the rates are significantly different.

Define $p_1$ and $p_2$ in this context and specify the null and two-sided alternative hypotheses.

The cost of a meal might affect how customers evaluate and appreciate food. To investigate, researchers worked with an Italian all-you-can-eat buffet to perform an experiment. A total of 139 subjects were randomly assigned to pay either $4 or$8 for the buffet and then asked to rate the quality of the pizza on a 9-point scale. Subjects who paid $8 rated the pizza 11% higher than those who paid only$4. Describe how the researchers could have randomly assigned the subjects to treatments using a random-number generator.