Here are the results of the first 10 free-throws of the 2010 regular season for Amare Stoudemire of the New York Knicks.

(a) Calculate Stoudemire's overall free-throw percentage after each shot.

(b) If you were to continue this process for all free-throws that he took during the regular season, describe what will happen to Stoudemire's overall free-throw percentage.

Shot number	1	2	3	4	5	6	7	8	9	10
Result	Make	Make	Make	Make	Miss	Make	Miss	Make	Make Make

Refer to City Data (Data Set I) on the prices of various products in different cities across the country. Select a subsample of the prices of regular unleaded gas for 40 cities. For the data in this subsample, determine the mean, median, and standard deviation.

Which statement about these poems is not true?
$F$ Both poems use rhyme.
$G$ Both poems follow a regular meter.
$H$ Each speaker asks a woman to read his verses.
$J$ Both poems are bitter in tone.

A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet. If one side of a gazebo is open, and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot.

Here are the results of the first 10 free-throws of the 2010 regular season for Blake Griffin of the Los Angeles Clippers.

(a) Calculate Griffin's overall free-throw percentage after each shot.

(b) If you were to continue this process for all free-throws that he took during the regular season, describe what will happen to Griffin's overall free-throw percentage.

In the following problem, use the results of the previous problem to determine whether the point at infinity is an ordinary point, a regular singular point, or an irregular singular point of the given differential equation.

$$x^2 y^{\prime\prime}+x y^{\prime}-4 y=0$$

In the 2009-2010 regular season, the Portland Trail Blazers were 26-15 (26 wins and 15 losses) at home and 24-17 on the road.

a) How much better did the Trail BlazerS PERFORM at home in the 2009-2010 regular season? Calculate the difference in the proportion of wins at home and on the road.

b) Calculate a 95% confidence interval for the difference in the Blazers' ABILITY to win at home and their ability to win on the road.

c) Interpret the confidence interval in context.

d) Does the interval provide convincing evidence that the Blazers had a greater ability to win at home? Explain.

Most prairies experience regular fires, typically every few years. If these disturbances were relatively modest, how would the species diversity of a prairie likely be affected if no burning occurred for 100 years? Explain your answer.

Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Consider weights (lb) of the contents of cans of Diet Coke $( n = 36 , \overline { x } = 0.78479 \mathrm { lb } , s = 0.00439 \mathrm { lb } )$ and of the contents of cans of regular Coke $( n = 36 , \overline { x } = 0.81682 \mathrm { lb } , s = 0.00751 \mathrm { lb } )$.Use a 0.05 significance level to test the claim that the contents of cans of Diet Coke have weights with a mean that is less than the mean for regular Coke.

Determine the independent and dependent variables for the study.

A study was conducted to determine if workers who had a flexible work schedule had greater job satisfaction than those workers who worked a regular nine-to-five work schedule.

Which of the following documentation entries is most accurate?

1. “Patient walked up and down hallway with assistance, tolerated well.”
2. “Patient up, out of bed, walked down hallway and back to room, tolerated well.”
3. “Patient up, walked 50 feet and back down hallway with assistance from nurse. Spouse also accompanied patient during the walk.”
4. “Patient walked 50 feet and back down hallway with assistance from nurse; HR 88 and regular before exercise, HR 94 and regular following exercise.”

Determine whether the specified value of t is a regular singular point of the given differential equation. $\left(1-t^{2}\right) y^{\prime \prime}+\frac{1}{\sin (t+1)} y^{\prime}+y=0 ; t=-1$

A picture-framing company sells two types of glass: regular and nonglare. For a piece of nonglare glass, the charge is equal to the length of the longest side in inches multiplied by the rate $0.75 per inch. Solve the system by using substitution.

Determine whether a semiregular uniform tessellation can be created from the given shapes, with all sides 1 unit long. If so determine the number of each shape needed at each vertex to create the tessellation.

regular pentagons and squares