min z = -4x1 + 12 th s.t. 3x, + X2 S s.t. -x, + 2x2 s

(Q.3) Mastery Assess It 3 - Question is in the photo privided below.

Introductory Statistics 3rd edition - 8.34 p-values For each graph, state whether the shaded area could represent a p-value. Explain why or why not. If yes, state whether the area could represent the p-value for a one-sided or a two-sided alternative hypothesis.   (images are the graphs)

Year Governmenttax revenues(billions of dollars) Governmentexpenditures(billions of dollars) 1 240 240 2 250 245 3 260 255 4 300 320 5 325 340 What is the amount of the surplus or deficit incurred in year 1 by the government shown in the above table? Group of answer choices $0 $25 billion deficit $25 billion surplus $240 billion surplus

Question 19 Lucille, Rocio, and Cristina are all taking College Mathematics but from different professors. They all recently took a statistics exam and the exam scores were normally distributed in each of their classes. • Lucille's class had an average grade of 77 and the standard deviation was 4. Lucille earned 84.2 on the exam. Rocio's class had an average grade of 85 and the standard deviation was 3. Rocio earned 85.6 on the exam. Cristina's class had an average grade of 85 and the standard deviation was 5. Cristina earned 91.5 on the exam. Since some professors give harder exams than others, these students decided to use statistics to figure out who did the best on their exam. Use the Cumulative Z-Score Table to answer the following questions. Write your answers as a percent with two decimal places. Hint • Lucille's score places her above % of her class. % of her class. Rocio's score places her above % of her class. • Cristina's score places her above Which person has the highest…