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More Education Improves Driving? Although traffic fatalities have been decreasing for years, this decrease has not been experienced equally in all segments of the population. In fact, although the overall rate of traffic fatalities has been decreasing, the rate has declined the most for those with more education and has actually gone up for those without high school degrees. A recent study shows that among those over 25, as education level increased from less than high school, to high school grad, to some college, to college grad, the rate of motor vehicle crash deaths decreased. $\underline{2}$ a. What are the explanatory and response variables? b. Those with less education tend to drive cars that are older, have poorer crash test ratings, and have fewer safety features such as side airbags. Are the variables age of car, crash test rating, and presence of safety features explanatory variables, response variables, or lurking variables? Explain your reason. c. Is the association between traffic fatalities and education level good reason to think that a higher level of education actually causes an individual to be a safer driver? Explain why or why not.

The Basic Practice of Statistics

Arrange the following aqueous solutions in order of (i) increasing vapor pressure of water and (ii) increasing boiling point. (a) $0.35 m$ $\mathrm{HOCH}_{2} \mathrm{CH}_{2} \mathrm{OH}$ (a nonvolatile solute) (b) $0.50 m$ sugar (c) $0.20 m$ $\mathrm{KBr}$ (a strong electrolyte) (d) $0.20 m$ $\mathrm{Na}_{2} \mathrm{SO}_{4}$ (a strong electrolyte)

Chemistry and Chemical Reactivity

Beavers and beetles Do beavers benefit beetles? Re- searchers laid out 23 circular plots, each 4 meters in diameter, in an area where beavers were cutting down cottonwood trees. In each plot, they counted the
number of stumps from trees cut by beavers and the number of clusters of beetle larvae. Ecologists think that the new sprouts from stumps are more tender than other cottonwood growth, so that beetles prefer them. If so, more stumps should produce more beetle larvae. Here are the data:? 
Analyze these data to see if they support the "beavers benefit beetles" idea. Follow the four-step process.

Beavers and beetles Do beavers benefit beetles? Re- searchers laid out 23 circular plots, each 4 meters in diameter, in an area where beavers were cutting down cottonwood trees. In each plot, they counted the number of stumps from trees cut by beavers and the number of clusters of beetle larvae. Ecologists think that the new sprouts from stumps are more tender than other cottonwood growth, so that beetles prefer them. If so, more stumps should produce more beetle larvae. Here are the data:? Analyze these data to see if they support the "beavers benefit beetles" idea. Follow the four-step process.

The Practice of Statistics for AP

Describing Relationships

Least-Squares Regression

The rate constant for the reaction
$$
\mathrm{NO}_{2}(g)+\mathrm{O}_{3}(g) \rightarrow \mathrm{NO}_{3}(g)+\mathrm{O}_{2}(g)
$$
was determined over a temperature range of $40 \mathrm{K},$ with the following results:
$$\begin{array}{cc}
T(\mathrm{K}) & k\left(M^{-1} \mathrm{s}^{-1}\right) \\
203 & 4.14 \times 10^{5} \\
\hline 213 & 7.30 \times 10^{5} \\
\hline 223 & 1.22 \times 10^{6} \\
\hline 233 & 1.96 \times 10^{6} \\
\hline 243 & 3.02 \times 10^{6} \\
\hline
\end{array}$$
a. Determine the activation energy for the reaction.
b. Calculate the rate constant of the reaction at $300 \mathrm{K}.$

The rate constant for the reaction $$ \mathrm{NO}_{2}(g)+\mathrm{O}_{3}(g) \rightarrow \mathrm{NO}_{3}(g)+\mathrm{O}_{2}(g) $$ was determined over a temperature range of $40 \mathrm{K},$ with the following results: $$\begin{array}{cc} T(\mathrm{K}) & k\left(M^{-1} \mathrm{s}^{-1}\right) \\ 203 & 4.14 \times 10^{5} \\ \hline 213 & 7.30 \times 10^{5} \\ \hline 223 & 1.22 \times 10^{6} \\ \hline 233 & 1.96 \times 10^{6} \\ \hline 243 & 3.02 \times 10^{6} \\ \hline \end{array}$$ a. Determine the activation energy for the reaction. b. Calculate the rate constant of the reaction at $300 \mathrm{K}.$

Chemistry The Science in Context

Questions asked

INSTANT ANSWER

For each of the following ions, show orbital occupancies for both weak and strong octahedral fields. Indicate the total number of unpaired electrons in each case. a.) Cd2+ (b) Fe2+ (c) Pd3+ (d) Tc4+ (e) Mo4+

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INSTANT ANSWER

A 0.140 M neutral aqueous CeBr3 solution is electrolyzed under 1 atm pressure using platinum electrodes. (b) What is the expected decomposition potential?

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INSTANT ANSWER

A 0.140 M neutral aqueous CeBr3 solution is electrolyzed under 1 atm pressure using platinum electrodes. (a) Write the half-reactions expected to occur, taking into account the effect of the non-standard conditions on the electrode potentials.

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ANSWERED

David Collins verified

Numerade educator

A current of 5.23×104 A is passed through an electrolysis cell containing molten CaCl2 for 16.9 days. (a) How many grams of calcium are produced? (b) How many liters of chlorine are collected, if the gas is at a temperature of 273 K and a pressure of 1.00 atm?

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ANSWERED

Nicole Smina verified

Numerade educator

A current of 9.74×104 A is passed through an electrolysis cell containing molten NaCl for 15.2 days. (b) How many liters of chlorine are collected, if the gas is at a temperature of 273 K and a pressure of 1.00 atm?

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ANSWERED

David Collins verified

Numerade educator

A current of 9.74×104 A is passed through an electrolysis cell containing molten NaCl for 15.2 days. (a) How many grams of sodium are produced?

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ANSWERED

David Collins verified

Numerade educator

How many amperes are required to deposit 0.174 grams of zinc metal in 627 seconds, from a solution that contains Zn2+ ions?

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ANSWERED

David Collins verified

Numerade educator

How many seconds are required to deposit 0.247 grams of aluminum metal from a solution that contains Al3+ ions, if a current of 1.23 A is applied?

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ANSWERED

David Collins verified

Numerade educator

What is the calculated value of the cell potential at 298K for an electrochemical cell with the following reaction, when the Pb2+ concentration is 4.31×10-4 M and the Mn2+ concentration is 1.34 M? Pb2+(aq) + Mn(s) > Pb(s) + Mn2+(aq) Answer: V The cell reaction as written above is spontaneous for the concentrations given:

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ANSWERED

David Collins verified

Numerade educator

What is the calculated value of the cell potential at 298K for an electrochemical cell with the following reaction, when the Cu2+ concentration is 7.50×10-4 M and the Zn2+ concentration is 1.13 M? Cu2+(aq) + Zn(s) <-> Cu(s) + Zn2+(aq)

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