MATH 0120 Quiz: MAT-120 algebra-Quiz 10-351

Practice 12-2 Conditional Probability 1. The table contains information about Education and Salary of Employees the 1205 employees at one business. Find Under S20,000 to Over each probability. Round to the nearest $20,000 $30,000 S30,000 tenth of a percent. Less than high school 69 36 2 a. P(employee has less than a high High School 112 98 14 school education) 102 103 143 b. P(employee earns under $20,000) Some college c. P(employee earns over $30,000 13 178 25 College degree and has less than a high school education) d. P(employee earns under $20,000 and has a college degree) given that th e employee has on ly a high school education, the probability that the employee earns over $30,000 f. given that the employee earns over $30,000, the probability that the employee has only a high school education or less 2. High school students in one school chose their favorite leisure activity. Find each probability. Round to the nearest tenth of a percent. Favorite Leisure Activities Sports Hiking Reading Phoning Shopping other 48 85 02 71 29 Female 39 Male a. P(sports female b. P(female l sports) c. P(reading l male d. P male l reading) g. male I shopping) h. P(female shopping) e. P(hiking I female) f. P(hiking l male) 3. The senior class is 55% female, and 32% are females who play a competitive sport. Find the probability that a student plays a competitive sport, given that the student is female. Draw a tree diagram. Find each probability 4. A softball game has an 80% chance of being canceled for a light drizzle and a 30% chance of being canceled for a heavy fog when there is no drizzle. There is a 70% chance of heavy fog and a 30% chance of t drizzle. a. Find the probability that the game will be canceled b. Find the probability there will be a light drizzle and the game will not be canceled. The students of a high school are 51% males: 45% of the m ales and 49% of the females attend concerts. a. Find the probability that a student attends concerts. b. Find the probability that a student is a female and does not attend concerts.

webwork.math.uodavis.edu/webwork2/MATI6A-Zhang-Fa-20LDHIOOL eb Slice GalleryImported From lE a ASSIST Report a ASSIST Report ALANa ASSIST Report ALAMPassve Skoll Tree P Path of Exile: BudgetForum-Duelist We are going to find two positive mumbers whose product is 48 and such that the sum of the first pltas 3 times the second is a minimum. A) Callthe first mumber x and the second number y. In terms of x and y, what is the quantity we are trying to mi Want to minimize x 3y (B) Your answer to part (A) should involve both x and y. Find an equation involving x and y, then solve it for y (C) Take your answer from part (B) and plug it into your answer from part (A). The result should be a formula in terms of only x. want to minimize x+3(48%) (D) What is the smallest value x can take on? Cif there is no smallest value, enter "none") (if there is no largest valne, enter "none") (F) We are trying to minimize your finction from part (C) over the interval defined by parts (D) and ( (E) What is the largest value x can take on? First find the derivative of your function from part ( Derivative is 1-(144/x*2) (G) Find all x-values in the domain at which your answer to part (F) is zero or undefined Critical points occur at 1Gf there is more than one critical point,enter a comma-separated list; if there are no critical points, enter none" ID Plug the x-valoes from parts (D).E) and(G) into your function from part (C) to determine which one prodaces the minimum value. Minimum value occurs at = (1) Plug your answer from part (H) into your function fiom part (B) to determine the y-value at which the minimum sum occurs Minimum value occurs at (J) lf the product ofxand x.y are is 48 and the sunn of x plus 3 times y is a minimum, what are x and y? (enter the values of x and y separated by commas, C.g "2,8

Lines that form right angles at their point of intersection. A five-sided polygon. A round figure whose surface is at all points equidistant from the center. A geometric figure having three line segments for sides. A quadrilateral where each angle is a right angle. An equilateral parallelogram. The distance around a geometric figure. A segment with end points on the circle. A chord of a circle that contains the center of a circle. A segment joining the center of a circle to a point of the circle. Algebra A extremes B. graph C. numerical order D. range E ranking F. variable G. exponent H algebra A letter that is used in place of a numeral. The branch of mathematics that uses letters, called variables, in places of numerals. The n in X" indicating the number of factors of X. Data in order from smallest to largest or vice-versa. A pictorial representation of data. The two outer terms of a proportion. The difference between the greatest and least numbers in a list of data. Data organized in ascending or descending order. Practical Test Solve each problem below. You may use a piece of scratch paper to work your problems. You do not have to turn in your work sheet. Write only the answer in the space provided for each question. Write the number for six million, four hundred thousand, nine hundred twenty seven. _____________________________________ Robert bought a used automobile for $1, 500.00. If the sales tax is 5%, what will be the total that Robert had to pay for the automobile? __________________ Solve 2/3 + 4/6 ______________ What is the perimeter of a triangle which sides measure 6, 8, and 10 inches? _________________ What would be the radius of a circle with a diameter of 8 inches? _________________ Solve 2x + 3 = 9, x= ____________ What is the area of a rectangle with a width of 12 feet and a length of 10 feet? ____________ Using the fraction 4/6, which number is the denominator? _____________ What percent of one U.S. dollar is $.25? ____________ Tom, Bill, Susan, and Sandy went bowling. Tom's score was 132, Bill's score was 140, Susan's scored 145 and sandy's score was 128. What was the average score of all four bowlers? __________ A dress that sells for $50.00 now has a 10% discount marked on the tag. How much will you save off the regular price of the dress? ____________ Sam bought a pair of socks for $2.95 and a tie for $7.50. He gave the cashier a twenty dollar bill. How much change should Sam receive from the cashier? _____________ A cube measures 3 inches on all of it's sides. What is the volume of the cube in inches? ______________ Canned corn is on sale at the grocery store, three cans for a dollar. Another brand is only $.30 per can, which is the better buy? ____________ Your paycheck each week is $500.00. If you want to save $2,000.00 dollars in one year, how much should you set aside from your paycheck each week? _______________