Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=3x-2 t(x)=x-4 Write the expressions for (t-s) (x) and (t.s) (x) and evaluate (t+s) (2). (t-s)(x) = [ (t's)(x) = (t+s) (2) = X
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- Jeremy is throwing darts at a dartboard, aiming for the bullseye. All of his darts land on the far edge of the board (away from the bullseye), but they are also right next to one another (clustered together). What best describes the results of his throwing darts for the bullseye: reliable, but not valid (correct answer) but why? valid, but not reliable (incorrect) neither reliable nor valid (incorrect) both valid and reliable (incorrect)Your Question: Problem: Officer Kevin Taylor was on his first day of work and he came upon a wreck at 5 PM. He saw a deer to the side of the road and a long skid mark on the road. The driver was a 26-year-old MCTC student, was not hurt and on the way home from class. The driver claimed to be driving at the speed limit, 35 mph. Office Taylor, having just finished his college algebra course at MCTC, knows that the length L, in feet, of the skid mark and the speed S, in miles per hour, are related by the following formula: S=5.05 * Square root L of a car when brakes are applied is related to the length L, in feet, of the skid mark. The skid mark measures 70 feet. Q1: Identify and define the independent and dependent variables. Q2: Identify the relevant and irrelevant information. Q3: Calculate the speed of the vehicle. Q4: Officer Taylor will write a ticket if the driver is over the speed limit. Will the driver receive a ticket?John was feeling depressed and anxious. His therapist gave him a depression test (M = 10, s = 3), higher scores mean more depression) and an anxiety inventory (M = 80, s = 25, higher scores mean more anxiety). His score was a 15 on the depression test and a 110 on the anxiety inventory. Is John more depressed than anxious, or more anxious than depressed?
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- An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores? Let d = (verbal SAT scores prior to taking the prep course)-(verbal SAT scores after taking the prep course). Use a significance level of α = 0.05 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course. Student 1 2 3 4 567 Score on first SAT 380 440 470 490 440 Score on second SAT 420 530 530 550 460 420 410 490 430 Step 1 of 5: State the null and alternative hypotheses for the test. Answer 0 Ho: Md 0 Ha IVA A VI Copy Data Tables Keypad Keyboard ShortcutsAn SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores? Let d = (verbal SAT scores prior to taking the prep course)-(verbal SAT scores after taking the prep course). Use a significance level of a = 0.01 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course. 1 234567 520 570 540 380 370 490 450 Student Score on first SAT Score on second SAT 540 600 610 470 410 510 480 Step 1 of 5: State the null and alternative hypotheses for the test. Answer 0 Ho: Md 0 Ha Ma IA IV V A || < = Copy Data Tables Keypad Keyboard ShortcutsLennard is deciding whether to purchase a wireless speaker from a major online retailer. He looks at the reviews for the speaker and notices that out of 100 reviews posted (with possible range of 1−5 stars), 99 reviews are 4 or 5 stars and only 1 review is 1 star-rated. He does, however, notice that the 1 star-rated review was posted very recently - just over the past few weeks. Nevertheless, the average overall rating for the product is 4.7 and Lennard decides to purchase the speaker. Why is the average review statistic misleading in this case?