Algebra 2 end of year review

shrimp Vegetable: potatoes, asparagus, corn, cauliflower Desserts: creme brûlée, ice cream A restaurant offers the following a la carte menu. What is the probability someone chooses shrimp and creme brûlée? A) 0.01 B) 0.08 C) 0.16 D) 0.83 58) 3 8 of a neighborhood's residents vote to plant roses at the front entrance. 2 9 vote to plant roses and peonies. What fraction of those who vote for roses also vote for peonies? A) 1 12 B) 11 72 C) 16 27 D) 59) 60) 43 72 Restrict the domain of f(x) = |x − 3|2 + 2 on which the function is invertible. A) {x ∈ R | x ≥ 3} B) {x ∈ R | x ≥ 2} C) {x ∈ R | x ≥ 0} D) {x ∈ R | x ≥ −3} Marty opened a savings account to deposit a portion of his monthly salary. Without considering interest earned, his savings account is modeled by the function f(x) = 300x + 500. How much money did Marty initially deposit? A) Marty's initial deposit was $0. B) Marty's initial deposit was $300. C) Marty's initial deposit was $500. D) Marty's initial deposit was $800. 61) Gwen notices in her class that females are more likely to pass a test if the test falls on a Tuesday through Friday with a review day before the test whereas males are more likely to pass a test if the test falls on a Monday. She gives a test on Monday to her class of 10 girls and 8 boys and the overall pass rate was an 83.3%. Of the 15 that passed the test 6 were boys. To see if this is unusual she took 10 red cards and 8 black cards, shuffled them and dealt a pile of 15 cards. Recording the number of red cards in her pile. She repeated 100 times. Which model should be used to see if there is a difference in the two treatment effects? A) paired t-test B) paired ztest C) two sample t-test D) two sample z-test 62) Solve the system of equations. 2x2 - y = 4 4x = 6 + y A) (1, 2) B) (1, -2) C) (-1, 2) D) (-1, -2) 63) Solve for x: 2 x+3 − 1 x−3 =0 A) −3 B) 0 C) 9 D) 1 3 64) 65) Which polynomial equation is a valid identity? A) [(3x + 9)(2x)]2 = 36x(x2 + 6x + 9) B) [(3x + 9)(2x)]2 = 6x2(x2 + 6x + 9) C) [(3x + 9)(2x)]2 = 36x2(x2 + 6x + 9) D) [(3x + 9)(2x)]2 = 12x2(x2 + 6x + 9) According to a weather service, the formula to calculate the average temperature in New Orleans for any given day of the year is T(x) = 20 + 8cos[ 2π 365 (x - 197)]. By looking at the formula, what are the high and low average temperatures for New Orleans during the year? 66) A) 18 C°; 10 C° B) 20 C°; 12 C° C) 28 C°; 12 C° D) 28 C°; 20 C° A two year study of high school students in the 1980's found that the times it took boys and girls to run one mile were roughly normally distributed. An average boy took 7:40 minutes with a standard deviation of 55 seconds and an average girl took 9:51 minutes with a standard deviation of 1:10 minutes. Debra took 12:11 minutes to run the mile, while Henry took 9:55 minutes to run the mile. Which student performed better than their peers and why? A) Henry performed better since he had the fastest time. B) Since one is a boy and one is a girl you cannot compare their times. You can only compare boys to boys and girls to girls. C) Debra performed better. She is exactly 2 standard deviations above the mean while Henry is more than 2 standard deviations above the mean. D) Both were above the mean so neither performed better than their peers. They would have to have been below the mean to have preformed better. ...