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Figure 27.39 shows a pair of parallel conducting rails a distance $l$ apart in a uniform magnetic field $\vec{B}$. A resistor $R$ is connected across the rails, and a conducting bar of negligible resistance is being pulled along the rails with velocity $\vec{v}$ to the right. (a) What direction is the current in the resistor? (b) At what rate does the agent pulling the bar do work? (FIGURE CAN'T COPY)

Figure 27.39 shows a pair of parallel conducting rails a distance $l$ apart in a uniform magnetic field $\vec{B}$. A resistor $R$ is connected across the rails, and a conducting bar of negligible resistance is being pulled along the rails with velocity $\vec{v}$ to the right. (a) What direction is the current in the resistor? (b) At what rate does the agent pulling the bar do work? (FIGURE CAN'T COPY)

Essential University Physics

Income and education level Each March, the Bureau of Labor Statistics compiles an Annual Demographic Supplement to its monthly Current Population Survey.44 Data on about 71,067 individuals between the ages of 25 and 64 who were employed full-time were collected in one of these surveys. The boxplots below compare the distributions of income for people with five levels of education. This figure is a variation of the boxplot idea: because large data sets often contain very extreme observations, we omitted the individuals in each category with the top 5% and bottom 5% of incomes. Write a brief description of how the distribution of income changes with the highest level of education reached. Give specifics from the graphs to support your statements.

Income and education level Each March, the Bureau of Labor Statistics compiles an Annual Demographic Supplement to its monthly Current Population Survey.44 Data on about 71,067 individuals between the ages of 25 and 64 who were employed full-time were collected in one of these surveys. The boxplots below compare the distributions of income for people with five levels of education. This figure is a variation of the boxplot idea: because large data sets often contain very extreme observations, we omitted the individuals in each category with the top 5% and bottom 5% of incomes. Write a brief description of how the distribution of income changes with the highest level of education reached. Give specifics from the graphs to support your statements.

The Practice of Statistics for AP

Exploring Data

Describing Quantitative Data with…

A survey of a large high school class asked the following questions:
(i) Are you female or male? (In the data, male $=0$, female $=1 .)$
(ii) Are you right-handed or left-handed? (In the data, right $=0,$ left $=1 .)$
(iii) What is your height in inches?
(iv) How many minutes do you study on a typical weeknight?
The figure below shows graphs of the student responses, in scrambled order and without scale markings. Which graph goes with each variable? Explain your reasoning.

A survey of a large high school class asked the following questions: (i) Are you female or male? (In the data, male $=0$, female $=1 .)$ (ii) Are you right-handed or left-handed? (In the data, right $=0,$ left $=1 .)$ (iii) What is your height in inches? (iv) How many minutes do you study on a typical weeknight? The figure below shows graphs of the student responses, in scrambled order and without scale markings. Which graph goes with each variable? Explain your reasoning.

The Practice of Statistics for AP

Exploring Data

Displaying Quantitative Data with Graphs

Carbon dioxide emissions Burning fuels in power plants and motor vehicles emits carbon dioxide $\left(\mathrm{CO}_{2}\right),$ which contributes to global warming. The table below displays $\mathrm{CO}_{2}$ emissions per person from countries with populations of at least 20 million.
(a) Make a histogram of the data using classes of width 2, starting at 0.
(b) Describe the shape, center, and spread of the distribution. Which countries are outliers?

Carbon dioxide emissions Burning fuels in power plants and motor vehicles emits carbon dioxide $\left(\mathrm{CO}_{2}\right),$ which contributes to global warming. The table below displays $\mathrm{CO}_{2}$ emissions per person from countries with populations of at least 20 million. (a) Make a histogram of the data using classes of width 2, starting at 0. (b) Describe the shape, center, and spread of the distribution. Which countries are outliers?

The Practice of Statistics for AP

Exploring Data

Displaying Quantitative Data with Graphs

Questions asked

ANSWERED

Lucas Finney verified

Numerade educator

A coin with probability p ∈(0,1) of Heads is flipped repeatedly. The sequence of outcomes can be divided into runs (blocks of H’s or blocks of T’s), e.g., HHHTTTTHTTTHH becomes HHH TTTT H TTT HH which has 5 runs, with lengths 3, 4, 1, 3, 2, respectively. Assume that the coin is flipped at least until the start of the third run. 1. Find the expected length of the first run

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ANSWERED

Kari Hasz verified

Numerade educator

A confidence interval is desired for the true average tensile strength µ (in ksi) for a certain type of thread used to reinforce concrete beams. Assume that the tensile strength of this thread is normally distributed with σ = 4.5. (a) Compute an 86% CI for µ when n = 78 and the sample mean is 147.6. (b) How large must n be if the width of a 99% CI for µ is to be 1?

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ANSWERED

Jeff Vermeire verified

Numerade educator

A coin with probability p of Heads is flipped repeatedly, where 0 < p < 1. The sequence of outcomes can be divided into runs (blocks of H’s or blocks of T’s), e.g., HHHT T T T HT T T HH becomes HHH T T T T H T T T HH , which has 5 runs, with lengths 3, 4, 1, 3, 2, respectively. Assume that the coin is flipped at least until the start of the third run. (a) Find the expected length of the first run. (b) Find the expected length of the second run.

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ANSWERED

Ahmad Reda verified

Numerade educator

A coin with probability p of Heads is flipped repeatedly, where 0 < p < 1. The sequence of outcomes can be divided into runs (blocks of H’s or blocks of T’s), e.g., HHHT T T T HT T T HH becomes HHH T T T T H T T T HH , which has 5 runs, with lengths 3, 4, 1, 3, 2, respectively. Assume that the coin is flipped at least until the start of the third run. (a) Find the expected length of the first run. (b) Find the expected length of the second run.

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ANSWERED

Ahmad Reda verified

Numerade educator

A coin with probability p ∈(0,1) of Heads is flipped repeatedly. The sequence of outcomes can be divided into runs (blocks of H’s or blocks of T’s), e.g., HHHTTTTHTTTHH becomes HHH TTTT H TTT HH which has 5 runs, with lengths 3, 4, 1, 3, 2, respectively. Assume that the coin is flipped at least until the start of the third run. 1. Find the expected length of the first run. 2. Find the expected length of the second run

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