A metallic rod at a temperature of 120°F is placed in a room at a constant temperature of 10°F. If after 25 minutes, the temperature of the bar is 70°F, find (a) the time it will take the rod to reach a temperature of 35°F and (b) the temperature of the bar after 50 minutes.

Q: A man travelled by car for 3 days. He covered 480 miles each day. On the first day he drove for 10…

A: Solution is given:

Q: If Sandy can paint a fence in 2 hours and Erik can paint the fence in 3 hours, if they work…

A:

Q: The value of your house is rising by 5% per year. If it is worth 2 000 000.00 php today, what will…

A:

Q: A pipe can full the tub alone in 10 minutes time, another can do it in 20 minutes and drain if…

A: The first pipe can fill the tub in 10 minutes, Therefore, in one minute, the pipe can fill 110 of…

Q: A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 hours, while…

A: NOTE: Refresh your page if you can't see any equations. . The inlet pipe can fill the vat in x=5…

Q: Two trucks leave a warehouse at the same time. One travels due south at an average speed of 58 miles…

A:

Q: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6…

A: Speed - Distance/Time For person (P1) speed = 10 m/s For person (P2), speed = 6m/s   P2 has a…

Q: The price of a dress is reduced by 20%. When the dress still does not sell, price was then reduced…

A: Let x be the orginal price ofthe dress

Q: Of two inlet pipes, the smaller pipe takes 5 hours longer than the larger pipe to filla pool.  when…

A:

Q: The price of a dress is reduced by 40%. When the dress still does not sell, it is reduced by 40% of…

A:

Q: If the temperature of the air is 300K and the substance cools from 360K to 330K in 10 minutes, find…

A: According to Newton's law of cooling, the rate of heat loss of a body is directly proportional to…

Q: One automobile starts out from a town at 8 a.m. and travels at an average speed rate of 60 mph. 2…

A: Let A be First automobile and B be second automobile

Q: Two trains leave stations 364 miles apart at the same time and travel toward each other. One train…

A: When the two trains meet each other,at that point the total distance covered by them will be the…

Q: After riding at a steady rate for 60 miles, a bicyclist had a flat tire and walked 8 miles to a…

A: Let the walking rate be x The cycling rate was 3 times faster than the walking rate. Therefore, The…

Q: Mark can overhaul a engine in 30 hours, and Phil can do the same work by himself in 20 hours. If…

A: Time taken by Mark to overhaul an engine=30 hours Time taken by Phil to do same work=20 hours…

Q: One inlet pipe can fill an empty pool in 9 hours, and a drain can empty the pool in 15 hours. How…

A: Given: The time taken by the pipe to fill an empty pool is 9 hours. The time taken by the drain to…

Q: A long-distance telephone call costs 20 cents for the first three minutes and 40 cents for each…

A: We can find the answer as below.

Q: At 12:00 noon, there were 200 bacteria present. By 4:00pm, there were 379 bacteria. If the bacteria…

A:

Q: The number of people in a small country town increases by 2% per year. If the population at the…

A: Solution :   Given that The principal population P0 = 12500 Increasing rate r = 2% = 2/100 = 0.02  n…

Q: ne hose can fill a pool in 60 minutes. A larger hose can fill it in 40 minutes. How long will it…

A: GivenOne hose can fill a pool = 60 minA larger hose can fill  =40 min

Q: A ship that is in danger of sinking radios the Coast Guard for assistance. When the rescue  craft…

A:

Q: A car that originally cost $3,668 in 1955 is valued today at $62,125 if in excellent condition,…

A:

Q: For the month of December, company A's stock decreased from $50 to $43 per share and company B's…

A:

Q: If I take 50 calls a day and one of the calls last 40 minutes . What would the average time on the…

A: The arithmetic average of a data set can be calculated by dividing the sum of observations with the…

Q: The Angel fish at the zoo requires the 288 gallon tank to be 3% salt. After a period of time, some…

A: The Angel fish at the zoo requires the 288 gallon tank to be 3% salt. After a period of time, some…

Q: A metal bar at a temperature of 100F is placed in a room at constant temperature of 0F, if after 20…

A:

Q: A roast turkey is taken from an oven when its temperature has reached 190 degrees Fahrenheit and is…

A: This is the problem of the Application of the Calculus.

Q: A man can seed a large field in 8 hours. His daughter can do the job in 6 hours. If she starts an…

A:

Q: Harriet’s main pump can empty the pool in 15 hours while the backup pump can emptythe pool in 26…

A:

Q: The population of the village is 5000. If in a year, the number of males were toincrease by 5% and…

A:

Q: Linh has obtained scores of 82, 75, and 71 on her midterm algebra exams. if the final exam counts…

A: To determine the score on final exam.

Q: A cake is removed from an oven at 193 degrees fahrenheit and left to cool at room temperature, which…

A: Formula: Newton's law of cooling T(t)=TS+(To-TS)ebt T(t)- Temperature at time t. TS - surrounding…

Q: The lifespan of a hamster is 6 years less than that of a giraffe. The lifespan of a puma is 4 times…

A: Consider the lifespan of hamster, giraffe and puma be h, g and p respectively. Lifespan of hamster…

Q: Harriet’s main pump can empty the pool in 15 hours while the backup pump can empty the pool in 26…

A: Harriet’s main pump can empty the pool in 15 hours while the backup pump can empty the pool in 26…

Q: An airplane travels 3600 miles from city A to city B. On the way back, the airplane speed was 50%…

A: Concept Used: Rate = distance / time or Time = Distance /rate

Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular…

A: Given,

Q: A pond can be filled by one pipe in 8 hours and by a second pipe in 24 hours. How long will it take…

A: Consider the given information. A pipe can be filled in 9 hours and a pipe is fitted in another 12…

Q: A roast turkey is taken from an oven when its temperature has reached 190 degrees Fahrenheit and is…

A: This is a problem with Newton's law of cooling.

Q: A steel ball is heated to 120°C and then immersed in a vat of water kept at a constant temperature…

A:

Q: A high-speed train makes a 450 mile nonstop run between two major cities in hours. The train travels…

A:

Q: A roasted turkey is taken from an oven when it temperature has reached 185 degrees Fahrenheit and is…

A:

Q: The startup cost for a restaurant is $120,000 and each meal costs $10 for the restaurant to make. If…

A:

Q: An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3000 feet…

A: Question is solved.

Q: A train leaves Little Rock , Arkansas, and travels north at 55 kilometers per hour. Another rain…

A:

Q: the average yearly salary of a construction worker is $11 thousand less than three times that of a…

A: Consider "x" is the average yearly salary of a construction worker and "y" is the average yearly…

Q: Thus, Dani's current age is

A:

Q: A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds later.…

A: Given- A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds…

Q: If the air is maintained at 15oC and the temperature of the body drops from 70oC to 40oC in 10…

A: The given air temperatutre T∞=15°CInitial temperature of the body Ti=70°CAfter time t = 10 minutes…

Q: Sam and Cat both drive cars starting from the same point. Sam drives north, and travels 50  miles in…

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.