You have 20 bottles of pills. 19 bottles have 1.0 gram pills, but one has pills of weight 1.1 grams. Given a scale that provides an exact measurement, how would you find the heavy bottle? You can only use the scale once
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You have 20 bottles of pills. 19 bottles have 1.0 gram pills, but one has pills of weight
1.1 grams. Given a scale that provides an exact measurement, how would you find the heavy bottle?
You can only use the scale once
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- We have 13 items in total. There are 6 guidebooks, and 7 towels. We pick two items, and among those, we must pick at least one guidebook and at least one towel. In how many ways can we do that?Suppose a person can buy a chocolate bar from the vending machine for $1 each. Inside every chocolate bar is a coupon. A person can redeem 3 coupons for one chocolate bar from the machine. This means that once a person has started buying chocolate bars from the machine, he/she always has some coupons. A person would like to know how many chocolate bars can be bought, if a person starts with N dollars and always redeem coupons, if he/she has enough for an additional chocolate bar. For example: With 3 dollars a person could buy 4 chocolate bars after purchasing 3 bars giving him/her 3 coupons and then redeeming the 3 coupons for one bar. This would leave him/her with one extra coupon. Thus, will have 4 chocolate bars and still have one coupon leftover. For 11 dollars, a person can have 16 chocolate bars and still have one coupon leftover. For 12 dollars, a person can have 17 chocolate bars and have two coupons leftover. Write a complete Python program that prompts a buyer to input…Suppose for an international football tournament, you wish to find the probability of the country who can win the final game. You can find the odds for winning from your local bookie [A bookie sets odds, accepts and places bets, and pays out winnings on behalf of other people]. Odds are mathematically treated as a fraction. If the odds for the Morocco vs Argentina game are 5 to 1, the fraction is 1 / 5. So to convert the fraction into probability of winning, take the numerator and divide it by the denominator plus 1. Use the Frac.class in Java to help you convert any given odds into probability. Display your result as a percentage on you console.
- Suppose, you are working in a company ‘X’ where your job is to calculate the profit based on their investment.If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as first 25,000 USD goes to set up the business in the first place. For the first 100,000 USD, the profit margin is low: 4.5%. Therefore, for every 100 dollar they spend, they get a profitof 4.5 dollar.For an investment greater than 100,000 USD, for the first 100,000 USD (actually on 75,000 USD as 25,000 is the setup cost), the profit margin is 4.5% where for the rest, it goes up to 8%. For example, if they invest 250,000 USD, they will get an 8% profit for the 150,000 USD. In addition, from the rest 100,000 USD, 25,000 is the setup cost and there will be a 4.5% profit on the rest 75,000. Investment will always be greater or equal to 25,000 and multiple of 100.Complete the RECURSIVE methods below that take an array of integers (investments)and an iterator (always sets to ZERO(‘0’) when the…Suppose, you are working in a company ‘X’ where your job is to calculate the profit based on their investment. If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as first 25,000 USD goes to set up the business in the first place. For the first 100,000 USD, the profit margin is low: 4.5%. Therefore, for every 100 dollar they spend, they get a profit of 4.5 dollar. For an investment greater than 100,000 USD, for the first 100,000 USD (actually on 75,000 USD as 25,000 is the setup cost), the profit margin is 4.5% where for the rest, it goes up to 8%. For example, if they invest 250,000 USD, they will get an 8% profit for the 150,000 USD. In addition, from the rest 100,000 USD, 25,000 is the setup cost and there will be a 4.5% profit on the rest 75,000. Investment will always be greater or equal to 25,000 and multiple of 100. Complete the RECURSIVE methods below that take an array of integers (investments) and an iterator (always sets to…Suppose, you are working in a company ‘X’ where your job is to calculate the profit based on their investment. If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as first 25,000 USD goes to set up the business in the first place. For the first 100,000 USD, the profit margin is low: 4.5%. Therefore, for every 100 dollar they spend, they get a profit of 4.5 dollar. For an investment greater than 100,000 USD, for the first 100,000 USD (actually on 75,000 USD as 25,000 is the setup cost), the profit margin is 4.5% whereas for the rest, it goes up to 8%. For example, if they invest 250,000 USD, they will get an 8% profit for the 150,000 USD. In addition, from the rest 100,000 USD, 25,000 is the setup cost and there will be a 4.5% profit on the rest 75,000. The investment will always be greater or equal to 25,000 and multiple of 100. Complete the RECURSIVE methods below that take an array of integers (investments) and an iterator (always sets to…
- A barrel can hold 42 gallons of oil. How many liters of oil are in the barrel? Group of answer choices 42 liters 15.9 liters 159 liters 4.2 litersYou have a mixed pile of N nuts and N bolts and need to quickly find the corresponding pairs of nuts and bolts. Each nut matches exactly one bolt, and each bolt matches exactly one nut. By fitting a nut and bolt together, you can see which is bigger, but it is not possible to directly compare two nuts or two bolts. Give an efficient method for solving the problem.There are three financial aid counselors. If a student’s last initial is from A – H, let them know that their counselor is Jon Stewart. If a student’s last initial is from I – Q, let them know that their counselor is Chelsea Handler. If a student’s last initial is from R – Z, let them know that their counselor is Brian Williams.Ask student for the FICO score, if it’s less than 660 tell that this student cannot have a loan.
- A local merchant goes to a market to buy apples with 500 UM. They offer two types of apples: green ones at 0.5 UM per kg and red ones at 0.8 UM per kg. We know that he only has space in his van to transport a maximum of 700 kg of apples and that he plans to sell a kilo of green apples for 0.58 UM and red apples for 0.9 UM. Solve the problem with the graphical method.- How many kilograms of apples of each type should you buy to obtain maximum profit?In a party, there are 10people with white shirts and 8 people with red shirts; 4 people have black shoes and white shirts; 3 people have black shoes and red shirts; The total number of people with white or red shirts or black shoes is 21. How many people have black shoes?You decide to collect a bunch of cans of soda and measure the volume of soda in each can. Let the number of mL of soda in each can. Does qualify for being a random variable? Is it continuous or discrete? You want to study the efficiency of a machine producing nails over a day that is the number of faultless nails produced during the day. Assuming that the probability that a nail is produced is faultless is independent of the previous nail produced. What is the random variable in this case? This random variable is __________(random/continuous)