The following information is the undergraduate and graduate enrollment of our U.C. campuses. We are interested in whether the graduate enrollment depends upon the undergraduate enrollment. The 2001 fact sheet is the latest on the UC web site as of 4/27/04. (Source: http://www.ucop.edu/news/profiles/Profile_2001.pdf) Undergrad. Enrollment Enrollment Campus Graduate Berkeley Davis 22,398 8,613 5,632 19,460 Irvine 14,533 L.A. Riverside 3,633 11,693 1,321 24,103 9,281 15,925 Santa Barbara 17,068 San Diego 3,422 2,296 1,021 Santa Cruz 9,960 U.C. Merced is the next campus scheduled to open. In its first year, it hopes to enroll 5000 undergraduate students. What will be the estimated number of graduate students? -2742 O Unable to determine because 5000 is not one of the x-values. Unable to determine because 5000 is not in the range of x-values.

Plant fertilizers are categorized by the percentage of nitrogen (N), phosphorous (P), and potassium (K) they contain, by weight. For example, a fertilizer that has N-P-K numbers of 8-5-5 has 8% nitrogen, 5% phosphorous, and 5% potassium by weight. Suppose that a fertilizer has twice as much potassium by weight as phosphorous. The percentage of nitrogen equals the sum of the percentages of phosphorous and potassium. If nitrogen, phosphorous, and potassium make up 42% of the fertilizer, determine the proper N-P-K label on the fertilizer.

Clarissa has just completed her second semester in college. She earned a grade of C in her 1-hour linear algebra course, a grade of C in her 5-hour sociology course, a grade of B in her 4-hour chemistry course, and a grade of D in her 4-hour speech writing course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Clarissa's grade-point average for the semester. Clarissa's grade point average is (Round to two decimal places as needed.)

Why system of equations is called autonomous ?

4. 9 An ice cream shop sells small and large sundaes. One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270. Sales tax is included in all prices. If x is the cost of a small sundae and y is the cost of a large sundae, write a system of equations to represent this situation. Peyton thinks that small sundaes cost $2.75 and large sundaes cost $6.75. Is Peyton correct? Justify your answer. Using your equations, determine algebraically the cost of one small sundae and the cost of one large sundae.

Jamie has just completed her second semester in college. She earned a grade of A in her 1​-hour linear algebra ​course, a grade of C in her 5​-hour psychology ​course, a grade of D in her 1​-hour biology ​course, and a grade of A in her 4​-hour creative writing course. Assuming that A equals 4​ points, B equals 3​ points, C equals 2​ points, D equals 1​ point, and F is worth no​ points, determine Jamie​'s ​grade-point average for the semester.

You are an analyst for a consumer products company. You run a survey of 1000 customers and find that 80% of customers use gel packs for laundry detergent (the rest use liquid or powder) and 40% of customers use gel packs for their dishwasher detergent (the rest use liquid or powder). You also learn that twice as many customers use laundry detergent than dishwasher detergent and that this relationship is independent of gel pack or other types of products (liquid or powder).