Why is surgery an effective treatment for only half of the persons diagnosed with lung cancer?

The carbon monoxide level in a city is predicted to be $0.02 x^{3 / 2}+1$ ppm (parts per million), where x is the population in thousands. In t years the population of the city is predicted to be $x(t)=12+2 t$ thousand people. Therefore, in t years the carbon monoxide level will be $P(t)=0.02(12+2 t)^{3 / 2}+1$ ppm. Find $P^{\prime}(2)$, the rate at which carbon monoxide pollution will be increasing in 2 years.

Fill in the blanks. a. A relative-frequency distribution is to a variable as a _____ distribution is to a random variable. b. A relative-frequency histogram is to a variable as a _____ histogram is to a random variable.

An investment grows at 24% compounded monthly. How many years will it take to: a. double? b. increase by 50%?

Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. $\sum_{j=0}^{\infty}\left(-\frac{1}{2}\right)^{j}$

Find each integral or state that it cannot be evaluated by our substitution formulas. $\int \frac{e^{x}}{e^{x}-1} d x$

Academe, Bulletin of the American Association of University Professors presents results of salary surveys (average salary) by rank of the faculty member (professor, associate, assistant, instructor) and by type of institution (public, private). List the factors and the number of levels of each factor. How many cells are there in the data table?

Write each interval in set notation and graph it on the real line. $(-\infty, 2]$

Harper’s Index reported that the number of (Orange County, California) convicted drunk drivers whose sentence included a tour of the morgue was 569, of which only 1 became a repeat offender. What is the probability that r>1?

Explain the function of the different types of teeth.

Differentiate each function. $f(t)=\cos \frac{\pi t}{180}$

An investor is looking at a graph of the value of his portfolio for the first quarter of the year. On January 10 the value was at an all-time high and then began to decline; on February 10 there was an inflection point (the only inflection point on the graph); on March 10 the value was at its lowest point and then began to rise. What was the significance of the inflection point? (Assume that the graph has no straight segments.)

When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions?

Define acidosis and alkalosis.