In a triathlon, participants are required to complete three successive events: swimming, bicycling and running without stopping. If they have to swim 3,850 metres, bike 8.2 kilometres, and then run 3.35 kilometres, calculate the ratio of the distance covered by swimming to biking to running, in its lowest terms. Swimming to Biking to Running

Q: If 84 of the 136 participants in club activities are residents, what is the ratio of nonresidents to…

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Q: A cardiac patient cannot walk any faster that 2.0 mph, but she has been told that she must at 8…

A: Given, speed is 2.0 mph  she must exercise 8 METs. We know that 2.0 mph = 2×26.8=53.6 m/min

Q: A spacecraft is traveling from one planet to another with a distance traveled of 268,000 miles. If…

A: Given - A spacecraft is traveling from one planet to another with a distance traveled of 268,000…

Q: Is  volume of soda in a bottle is a ratio variable?

A: Interval Scale there is order and the difference between two values is meaningful. Eg- temperature…

Q: Divide 100 loaves of bread among 10 men, including a boatman, a foreman, and a doorkeeper, who all…

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Q: The ratio of yes to no votes was 4:1. If 14,000 people voted No, how many votes were cast in total?

A: Let total x votes were cast. Given that the ratio of yes to no votes was 4:1. So, 1/(4+1)= 1/5th of…

Q: When comparing the volume of pyramids and prisms, what is the ratio of the volume of the pyramid to…

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Q: It took a crew 2 h 40 min to row 6 km upstream and back again. If the rate of flow of the stream was…

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Q: Write each ratio as a fraction in LOWEST TERMS.  8 hours to 3 days

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Q: as 6 feet long and proportionally similar to your oth how much do you think the giant squash weighs?

A: Given as, length(feet) 1.5 6 weight(pounds) 2 x

Q: If the ratio of brown sugar to granulated sugar in an oatmeal cookie recipe is 4:3, what fraction of…

A: To Determine: what fraction of the recipe is brown sugar? Given: If the ratio of brown sugar to…

Q: If the base of a triangle is increased by 60%, find the percentage change in the height of the…

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Q: 1. The amount of paint p needed to paint the walls of a room varies directly as the area A of the…

A: Given- The amount of paint p varies as the area Aof the wall and 2 gallons of paint is needed to…

Q: A TV screen is 24 x 16 inches. If each dimension is increased by 20%, by what percent is the area…

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Q: A farmer has a total yield of 72,000 bu of corn from a 450 acre farm. What total yield should he…

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Q: Find the ratio of a pair of corresponding sides of two similar triangles whose areas are equal to 4…

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Q: PREDICT The ratio of hardbacks to paperbacks in the school library was 5 to 2. If there were 600…

A: See answer in Step 2

Q: When running a half marathon (13.1 miles), it took Bill 6 minutes to run from mile marker 1 to mile…

A: When the total distance covered is dtotal in total time ttotal , average speed savg is given by

Q: The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100…

A: Given that  The ratio of the weight of an object on Planet A to the weight of the same object on…

Q: In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5. The…

A: The necessary calculation are given in the picture Here is given that the ratio of new car & pre…

Q: The ratio of 2.5 to 7.5 is equivalent to

A: The ratio of 2.5 to 7.5 is equivalent to _____

Q: express each ratio as a fraction in lowest terms. 15:3

A: Our Aim is to express 15:3 as a fraction in lowest terms.

Q: It took a crew 1 h 50 min to row 8 km upstream and back again. If the rate of flow of the stream was…

A: Given, It took a crew 1 h 50 min(=110 min) to row 8 km upstream and back again and the rate of flow…

Q: Given that 16 watermelons cost $48, which of these are equivalent ratios of  number of watermelons…

A: 16 watermelons cost $48. TO FIND- THE RATION OF NUMBER OF WATERMELONS TO THE COST IN DOLLARS.

Q: If a train travels from one city to another in 46 minutes. If the distance betweentwo cities is 59.8…

A: Given: Time taken by train to travel 59.8 miles is 46 minutes. Find the average rate of train in…

Q: Assume that it costs a company approximately C(x) =64,665+792+0.05g2 to manufacture e gaming systems…

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Q: When running a half marathon (13.1 miles), it took Cesar 6 minutes to run from mile marker 1 to mile…

A: Average speed = Total distance travelled / Total time taken

Q: In a given school, there are 240 boys and 260 girls. a) What is the ratio of the number of girls to…

A: Given : Boys = 240  Girls = 260 Total = 240+260 = 500

Q: An elephant weighs 15,000 pounds on Earth and 2,500 pounds on the Moon. Assuming the weights are…

A: Formula : Percentage of weight on moon =  ( Weight on moon/weight on earth)×100

Q: $16,000 in prize money will be divided between the 3rd, 2nd, and 1st place winners using a ratio of…

A: Given data Prize money = $16000 Money is divided in the ratio of 1:2:5 for 3rd, 2nd and 1st place…

Q: A single chocolate cake require 16 oz of chocolate and 20 oz of chocolate are needed to bake two…

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Q: The diameter of one celestial body is about four times the diameter of a similarly proportioned…

A: Let diameter of the small celestial body be "d" Given diameter of big celestial body is 4*diameter…

Q: Fifty (50) kilometers of road were allotted to three contractors according to the ratio 1/2 : 1/3 :…

A: Here the 50km is divided into three contractors in the ratio of 1/2:1/3:1/4 ie., (1/2)x + (1/3)x +…

Q: In 1 km² of forest there are 2 coyotes. If the ratio coyotes to mice is 1:150. How many mice would…

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Q: A baseball team played 154 regular season games. The ratio of the number of games they won to the…

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Q: A chef planning for a large banquet thinks that 2 out of every 5 dinner guests will order his soup…

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Q: A new born baby has 270 bones and an adult has 206 bones. Find the ratio of bones in an adult to…

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Q: 1. If a.gum drop weighs m of a pound, how many gum drops are in one pound?

A: Topic = Algebra

Q: After dividing money in the ratio 4 : 3 : 5, If the largest amount received was $50,000.xx  How…

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Q: If a 1.2-inch long grasshopper can jump 5 feet, how far can a 1.5-inch long grasshopper jump,…

A: In directly proportional relationship, the ratio of two variables is equal to a constant and that…

Q: If 1 t of watermelons consist of 94% of water, how much weight the same number of watermelons when…

A: In one watermelon, the percentage of water and watermelon will remain the same overall weight.

Q: It took a crew 3 h 36 min to row 6 km upstream and back again. If the rate of flow of the stream was…

A: Let the rowing speed in still water be x km/ hour.The rate of the flow of stream is 4 km/ hour.The…

Q: A store has 175 pillows. They have 60 pillows of Brand A. What is the ratio of Brand A pillows to…

A: Answer

Q: Express the strenght of a solution in form of a fraction, ratio, and a percent if 1l of the solution…

A: Given solution containing 60000 mg drug in 1 liter .

Q: if a crumb topping is made with a ratio by weight of 3 parts brown sugar, 2 parts flour, and 1 part…

A: From given it is observed that, with 3 parts brown sugar, 2 parts flour, and 1 part butter can make…

Q: The length and width of a rectangle are measured as 40 cm and 30 cm, respectively, with an error in…

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Q: 1. A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is…

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Q: A small, test batch of lemonade used cup of sugar added to 1 cup of water and 4 tablespoons of lemon…

A: In the test batch, the ratios of cups of sugar, water, and tablespoon of lemon juice is 12:1:4…

Q: - What percentage of the students is shorter than 135 cm?

A: Let X denote the height and f denotes the frequency. Then  Total frequency = 2+7+9+20+38+18+12+10+5…

Q: By volume, one alloy is %60 copper, %30 zinc, and %10 nickel. A second alloy has percents of %50,…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.