Chapter 1: Problem 65
A forecaster at the National Hurricane Center needs to estimate the time until a hurricane with high probability of striking South Florida will hit Miami. Is it better to overestimate or underestimate? Explain your answer.
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Chapter 1: Problem 65
A forecaster at the National Hurricane Center needs to estimate the time until a hurricane with high probability of striking South Florida will hit Miami. Is it better to overestimate or underestimate? Explain your answer.
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Use Polya's four-step method in problem solving to solve. A store received 200 containers of juice to be sold by April 1. Each container cost the store \(\$ 0.75\) and sold for \(\$ 1.25\). The store signed a contract with the manufacturer in which the manufacturer agreed to a \(\$ 0.50\) refund for every container not sold by April 1 . If 150 containers were sold by April 1, how much profit did the store make?
Obtain an estimate for each computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? \(32.15-11.239\)
Use Polya's four-step method in problem solving to solve. Five housemates \((\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}\), and \(\mathrm{E})\) agreed to share the expenses of a party equally. If A spent \(\$ 42, B\) spent \(\$ 10\), C spent \(\$ 26\), D spent \(\$ 32\), and \(E\) spent \(\$ 30\), who owes money after the party and how much do they owe? To whom is money owed, and how much should they receive? In order to resolve these discrepancies, who should pay how much to whom?
The Republic of Margaritaville is composed of four states: A, B, C, and D. According to the country's constitution, the congress will have 30 seats, divided among the four states according to their respective populations. The table shows each state's population. $$ \begin{aligned} &\text { POPULATION OF MARGARITAVILLE BY STATE }\\\ &\begin{array}{|l|l|l|l|l|l|} \hline \text { State } & \text { A } & \text { B } & \text { C } & \text { D } & \text { Total } \\ \hline \begin{array}{l} \text { Population } \\ \text { (in thousands) } \end{array} & 275 & 383 & 465 & 767 & 1890 \\ \hline \end{array} \end{aligned} $$ Allocate the 30 congressional seats among the four states in a fair manner.
Use Polya's four-step method in problem solving to solve. Each day a small business owner sells 200 pizza slices at \(\$ 1.50\) per slice and 85 sandwiches at \(\$ 2.50\) each. If business expenses come to \(\$ 60\) per day, what is the owner's profit for a 10-day period?
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