A mad scientist has captured you and is showing you around his foul-smelling laboratory. He motions to an opaque, formalin-filled jar. "This jar contains one organ, either a kidney or a brain," he cheerily informs you. His voice seems an octave too high as he gives you a twisted leer. You watch as the madman grabs a brain lying on his worktable and drops it into the jar as well. He then shakes the jar and quickly withdraws a single organ. It proves to be a brain. He turns to you and says, "What is now the chance of removing a kidney?" Fearing that the scientist might remove your kidney in his next ghoulish experiment, you want to give him the right answer. What is your response?† (Enter the probability as a fraction.)

Mr.and Mrs. Jack Sear own and operate Electronics City, a small electronics store. Jack Sear worked in the store as a child and while in college. Afterwards, he slowly took over the business from his parents as they retired and moved to Florida. Jack, his wife, Harriett, their three children, one full-time, and one part-time employee run the business. The store carries a large assortment of electronic parts, small electronic gadgets, cell phones, and computer tablets. Most of the year, during the week, it is rather quiet. Except during the three nights they are open and on Saturday, in which there is a steady stream of customers. At those busy times, everyone works, Jack, Harriet, the three children, the full-time employee and the part-time employee. The store is open 6 days a week, except Mondays. During the Christmas season, from Thanksgiving weekend until Christmas, records show that they average a total of 12,000 customers. However, during the Thanksgiving weekend and…

The question and answers are in the screenshot.

2. You have some coins, each of which is a penny (1 cent), a nickel (5 cents), a dime (10 cents), or a quarter (25 cents). You know that • you have twice as many pennies as nickels, • the number of dimes is one more than the number of pennies and nickels combined, you have 34 coins in total, • and the total value of your coins is $2.70 (270 cents). (a) Set up a system of linear equations for the numbers of pennies, nickels, dimes, and quarters you have. (b) Determine how many coins of each type you have, by solving the system from part (a).

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 a cookie for 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 Gabe's 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…

Goldfish care manuals recommend that you have only 12 goldfish per 10 gallons of water. If Alex owns a 40 gallon tank that has a population density of 1.75 goldfish/gallon, is Alex meeting the recommendations? There is no way to determine how many goldfish Alex actually has. Yes, Alex has fewer than 12 goldfish per 10 gallons. O Yes, Alex has exactly 12 goldfish per 10 gallons. O No, Alex has more than 12 goldfish per 10 gallons.

A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…

A freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The separation of these three components typically lasts only 10 to 20 seconds. To use the espresso shot in making a latte, a cappuccino, or another drink, the shot must be poured into the beverage during the separation of the heart, body, and crema. If the shot is used after the separation occurs, the drink becomes excessively bitter and acidic, ruining the final drink. Thus, a longer separation time allows the drink-maker more time to pour the shot and ensure that the beverage will meet expectations. An employee at a coffee shop hypothesized that the harder the espresso grounds were tamped down into the portafilter before brewing, the longer the separation time would be. An experiment using 24 observations was conducted to test this relationship. The independent variable Tamp measures the distance, in inches, between the espresso grounds and the top of the portafilter (i.e., the harder the…

Please help me

The Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and Aft currently operates a docking facility where only one boat at a time can stop for gas and servicing. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 3 boats per hour and that the service rate for each server is 9 boats per hour. (Round your answers to four decimal places.) (a) What is the probability that the boat dock will be idle? (b) What is the average number of boats that will be waiting for service? (c) What is the average time (in hours) a boat will spend waiting for service? h (d) What is the average time (in hours) a boat will spend at the dock? h (e) If customers expect to be able to be in and out of the marina within 10 minutes on average, does this system provide acceptable service? ---Select--- V since the average time a boat will…