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At 10:15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. At 10:25 A.M., the aircraft is 110 miles away and 5 degrees south of due east. (a) Using the radar station as the pole and due east as the polar axis, write the two locations of the aircraft in polar coordinates. (b) Write the two locations of the aircraft in rectangular coordinates. Round answers to two decimal places. (c) What is the speed of the aircraft in miles per hour? Round the answer to one decimal place.

Precalculus

Polar Coordinates; Vectors

Polar Coordinates

According to Louann Brizendine, author of The Female Brain, women say nearly three times as many words per day as men. Skeptical researchers devised a study to test this claim. They used electronic devices to record the talking patterns of 396 university students who volunteered to participate in the study. The device was programmed to record 30 seconds of sound every 12.5 minutes without the carrier’s knowledge. According to a published report of the study in Scientific American, “Men showed a slightly wider variability in words uttered.... But in the end, the sexes came out just about even in the daily averages: women at 16,215 words and men at 15,669.”$^{56}$ This difference was not statistically significant. What conclusion can we draw from this study? Explain.

According to Louann Brizendine, author of The Female Brain, women say nearly three times as many words per day as men. Skeptical researchers devised a study to test this claim. They used electronic devices to record the talking patterns of 396 university students who volunteered to participate in the study. The device was programmed to record 30 seconds of sound every 12.5 minutes without the carrier’s knowledge. According to a published report of the study in Scientific American, “Men showed a slightly wider variability in words uttered.... But in the end, the sexes came out just about even in the daily averages: women at 16,215 words and men at 15,669.”$^{56}$ This difference was not statistically significant. What conclusion can we draw from this study? Explain.

The Practice of Statistics for AP

Designing Studies

Using Studies Wisely

A club has 30 student members and 10 faculty members. The students are

Abel Fisher Huber Miranda Reinmann
Carson Ghosh Jimenez Moskowitz Santos
Chen Griswold Jones Neyman Shaw
David Hein Kim O’Brien Thompson
Deming Hernandez Klotz Pearl Utts
Elashoff Holland Liu Potter Varga

The faculty members are

Andrews Fernandez Kim Moore West
Besicovitch Gupta Lightman Phillips Yang

The club can send 4 students and 2 faculty members to a convention. It decides to choose those who will go by random selection. How will you label the two strata? Use Table D, beginning at line 123, to choose a stratified random sample of 4 students and 2 faculty members.

A club has 30 student members and 10 faculty members. The students are Abel Fisher Huber Miranda Reinmann Carson Ghosh Jimenez Moskowitz Santos Chen Griswold Jones Neyman Shaw David Hein Kim O’Brien Thompson Deming Hernandez Klotz Pearl Utts Elashoff Holland Liu Potter Varga The faculty members are Andrews Fernandez Kim Moore West Besicovitch Gupta Lightman Phillips Yang The club can send 4 students and 2 faculty members to a convention. It decides to choose those who will go by random selection. How will you label the two strata? Use Table D, beginning at line 123, to choose a stratified random sample of 4 students and 2 faculty members.

The Practice of Statistics for AP

Designing Studies

Sampling and Surveys

You are considering making a movie. The movie is expected to cost $\$ 10$ million upfront and take a year to make. After that, it is expected to make $\$ 5$ million when it is released in one year and $\$ 2$ million per year for the following four years. What is the payback period of this investment? If you require a payback period of two years, will you make the movie? Does the movie have positive NPV if the cost of capital is $10 \%$ ?

Corporate Finance

Questions asked

ANSWERED

Andrew Davis verified

Numerade educator

1. Market demand for a certain product is given as P=1,000-10Q while Marginal Cost is given as MC=100 + 10Q a. Find out the price and quantity of Monopoly firm b. Find out the price and quantity under Competitive Market c. Calculate the deadweight loss from monopoly

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