The registrar’s report at State University includes the following information: Total enrollment—47,348. Enrollment in the Arts and Science College—27.837. Number of males enrolled in Arts and Sciences—12,722. The alumni magazine wants to interview a randomly selected student about the student’s attitude toward university athletics. The registrar’s office makes a random selection and observes the student is enrolled in Arts and Sciences. Find the probability the students is a male.

Use an area argument to show that $\ln 2<1$.

Evaluate the expression.

$$5 !$$

Solve each equation.

$$3.2 n = 27.52$$

Describe the positions of the sun, Earth, and the moon during a full moon and during a quarter phase.

Find the vertical asymptotes (if any) of the graph of the function.

$$f(x)=\frac{e^{-2 x}}{x-1}$$

A speedboat moving at 30.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.50 m/s$^2$ by reducing the throttle. What is the velocity of the boat when it reaches the buoy?

Gigantism is a problem of the endocrine system caused when the pituitary gland secretes too much growth hormone during childhood before the bones have completed their growth cycle. As a result the body's long bones become overdeveloped. The person grows to an abnormally tall height. This very rare disorder can be the result of a tumor in the pituitary gland. A related disorder, acromegaly (ak-roh-MEG-uh-lee), occurs when the production of growth hormone continues after the normal growth cycle has ended. People with acromegaly experience abnormal growth of bones in the face, hands, feet and skull. In which type of publication would this passage most likely appear? (a) Encyclopedia, (b) Fictional novel, (c) Letter from a doctor, (d) A pamphlet.

When a fraction with a numerator of 30 and a denominator of 8 is converted to a mixed number and reduced, what is the result?

Suppose that you want to create a spread position using S&P 500 futures contracts. Go to www.cmegroup.com and listed under Equity Index Products, select S&P 500. Click on Contract Specifications at the top of the product listing. Review the contract’s specifications. Click on the Contract Months link to see the contracts that are available for trading. Note the code for one contract that expires in approximately three months and the code for another that expires in approximately nine months.

Match the phrase with a vocabulary word. a particle made of covalently bonded atoms

What is a space shuttle? What is a space station?

The distance from Disneyland to San Bernardino is 48.3 miles. How many kilometers would that be?

Use your understanding of factorial notation and the symbol $_nP_r$ to solve each equation. a) $_3P_r=3!$ b) $_7P_r=7!$ c) $_nP_3=4(_{n-1}P_2)$ d) $n(_5P_3)=_7P_5$