7. 8x-4y>-28 6y212x-36 Yz2x-b 6. x-y24 x+5y≤0 |-y2=x+4 Y≤X4 8x-4y>-28 sexto 5 55 My 7-7x-28 =-4 y≤ - 3x प y< 2x+7 8. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.24 each and oranges cost $0.80 each. She has $12 to spend and would like to purchase at least 20 pieces of fruit in total. -87 a) Write a system of linear inequalities to represent this situation, then graph. b) Using your graph, give two possible combinations of apples and oranges Darcy can buy.
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- suppose Gabe , an elementary school student , has just finished dinner with his mother , judy. Eyeing the nearby cookie jar, Gabe asks his mother if he can have cookie foe dessert. She tells Gabe that she needs to check his backpack to make sure that he finished his homework. Gabe cannot remember where he left his backpack, but he knows for sure that he did not complete his homework and will not be allowed to eat a cookie. Gabe believes his only option is to quickly steal a cookie while his mother is out of the room. Judy then leaves the room to look for Gabes backpack. Assume that judy could return at any time in the next 60 seconds with equal probability . For the first 20 seconds, Gabe sheepishly wonders if he will get caught trying to grab a nearby cookie. After waiting and not seeing his mother , Gabe decides that he needs a cookie and begins to take one from the jar. Assuming it takes Gabe 30 seconds to grab a cookie from the jar and devour it without a trace, what is the…For the queation- "In fact, some new research suggests that to ensure a productive conversation the maximum message length should be no more than 8 words greater than the minimum message length in any conversation." Is maximum messge length the response or explanatory vairable? Hence, is minimum mesage length the reposne or explanatory variable?Two players, A and B, are playing an asymmetrical game. There are n points on the game board. Each turn player A targets a pair of points and player B says whether those two points are connected or unconnected. A can target each pair only once and the game ends when all pairs have been targeted. Player B wins iff a point is connected with all other points on the very last turn, while player A wins if any point is connected with all other points on any turn but the very last one OR if no point is connected to all other points after the last turn. For what values of n does either player have a winning strategy?
- Jo, a store owner, has an option of selling hot drinks or halu-halo during a championship game. The profits will depend on weather conditions. On a clear day, the profits will be P 1,500 and P9,000 on a rainy day if she sells hot drinks. If she sells halu-halo, her profits will be P 10,000 on a clear day and P5,000 an a rainy day. It was learned that during the time of the year 65% of the days are clear and 35%) are rainy. What type of refreshments should the owner sell? Make a decision tree and state your decision.Hypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been dif- ficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treat- ment by taking the right number of pills. 4.32 If the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program?Hypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been dif- ficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treat- ment by taking the right number of pills. 4.32 If the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program? The image shows a solution to the question above I did not understand how the first steps were solved. Please explain all the steps
- A friend who lives in Los Angeles makes frequent consultingtrips to Washington, D.C.; 50% of the time shetravels on airline #1, 30% of the time on airline #2, and the remaining 20% of the time on airline #3. For airline#1, flights are late into D.C. 30% of the time and late intoL.A. 10% of the time. For airline #2, these percentagesare 25% and 20%, whereas for airline #3 the percentagesare 40% and 25%. If we learn that on a particular trip shearrived late at exactly one of the two destinations, whatare the posterior probabilities of having flown on airlines#1, #2, and #3? Assume that the chance of a late arrival inL.A. is unaffected by what happens on the flight to D.C.[Hint: From the tip of each first-generation branch on atree diagram, draw three second-generation brancheslabeled, respectively, 0 late, 1 late, and 2 late.]Suppose that there is a negotiation between two players over a painting. Person 1,the seller ,has no interest in the painting. On the other hand the painting is worth $100 to the buyer. If the painting is sold at a price in between 0 and 100, both are better off. Player 1 proposes a price p to player 2. Then after observing player 1's offer, player decides whether to accept it or to reject it. If the offer is rejected both zero and the game ends.Find the unique SPNE of this game.Suppose 51 percent of the customers at Pizza Palooza order a square pizza, 73 percent order a soft drink, and 47 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Yes No
- In a baseball game, Jim is the pitcher and Joe is the batter. Suppose that Jim can throw either a fast or a curve ball at random. If Joe correctly predicts a curve ball, he can maintain a .400 batting average, else, if Jim throws a curve ball and Joe prepares for a fast ball, his batting average is kept down to .200. On the other hand, if Joe correctly predicts a fast ball, he gets a .250 batting average, else, his batting average is only .125. (a) Define the alternatives for this situation. (b) Define the objective function for the problem and discuss how it differs from the familiar optimization (maximization or minimization) of a criterion.Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,200, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,300. Manufacturing costs are $12 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…In each question, select ONE response from the provided alternative responses. Based on years of experience, an economics professor knows that onthe first principles of economics exam of the semester 13% of studentswill receive an A, 22% will receive a B, 35% will receive a C, 20%will receive a D, and the remainder will earn an F. Assume a 4 pointgrading scale A = 4, B = 3, C = 2, D = 1, and F = 0. Define therandom variable GRADE = 4, 3, 2, 1, 0 to be the grade of a randomlychosen student. What is the expected value of GRADE?A. 2.08B. 10C. 132. Suppose Y = 3X + 2. Given that E (X) = 8 and V ar (X) = 4, what isV ar (Y )?A. 36B. 26C. 38Compute the correlation coefficient between the random variables X and Y ,given the joint probability distribution below. X1 2Y 0 0.70 0.001 0.00 0.30 A. 0.6B. 1 6 C. 0.21 The following is a random sample of seven (x, y) pairs of data points: (1, 5) (3, 7) (4, 6) (5, 8) (7, 9) (3, 6) (5, 7)Use the data points to attempt Questions 34 − 37.34. Compute the…