Statistics - math word problems - page 26 of 46
Number of problems found: 919
- Octane value
I loaded 10L 95 octane gasoline and 5L 100 octane gasoline. What is the resulting octane value of the gasoline in the tank? - Students 34
Students were surveyed as part of a Statistics project to determine if younger adults are more likely to have tattoos. The results are listed in the two-way table below: age; At least one tattoo; No tattoo; Row totals Age 18 - 29; 165 ; 342; 507 Age 30 - - Day trip
A group of tourists went on a day trip. For two hours they walked at a speed of 6 km/h, for another hour they climbed a steep hill at a speed of 2 km/h, spent an hour and a half at lunch, then in an hour they inspected the castle garden at a free step at - Collision of a Ball with a Cart
A cart filled with sand has a mass of m₁ = 100 kg and moves in a straight line on a horizontal surface at a constant velocity of v₁ = 1 m/s. Coming from the opposite direction, a ball of mass m₂ = 2 kg flies at v₂ = 70 m/s, strikes the cart, and embeds it - Score on tests
On the first six tests in his Mathematics subject, his scores were 92, 82, 86, 93, 96, and 91. If he took the seventh test and raised the mean of his scores by exactly one point, what is his score on the 7th test? - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - Bicycle sales
A buyer for a department store estimates that the number of mountain bicycles sold during the summer season will range between 40 and 90 with the distribution - number of bicycles sold - 40, 50, 60, 70, 80, 90 with the probability of sale - 0.05, 0.15, 0. - Assembly time
The assembly time for the toy follows a normal distribution with a mean of 75 minutes and a standard deviation of 9 minutes. The company closes at 5 pm every day. If one starts assembling at 4 pm, what is the probability that he will finish before the com - Population growth percentage
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in percents. - Wage variance deviation
A statistician monitored the variance of monthly wages and found its value to be 640,000. Determine the standard deviation of salaries after a one-off increase of: a) CZK 1,800, b) 5%. - There 26
There are 200 sweets in a jar, measured to the nearest 10. They weigh 600 grams to the nearest 10 grams. What is the least possible mass of each sweet in grams? 2 d. p - Apple collecting
Luke, Peter, and Tibor compared how many kilograms of apples they had each collected. The arithmetic mean of Luke's and Peter's amounts was 10 kg more than Tibor's amount, and the arithmetic mean of Luke's and Tibor's amounts was 3 kg less than Peter's am - Gym age average
There are three times more children in the gym than adults. The average age of adults is 44 years. What is the average age of children if the total average age of everyone in the gym is 20? - Square root by hand
Estimate √38 to the nearest hundredths, using any of the two methods (divide and average method or square root estimate formula). - Martin history grades
Martin has an arithmetic average of 2.8 out of five history grades. If he only gets one from now, how many ones would he have to get at least so that the arithmetic mean of his history grades is less than 2? - Probability
An experiment was conducted, consisting of crossing white and purple peas, assuming that the experimental plants had not been previously crossed. According to the rules of inheritance, it can be expected that 3/4 of the new offspring will bloom purple and - Hiker average speed
The hiker walked for 3 hours at a 4 km/h speed. Due to the deteriorating weather, he increased his pace and walked at 7 km/h for the next hour and a half. At the end of his trip, it started to rain, so he started running at a speed of 20 km/h for 30 minut - A cyclist
A cyclist rides for 30 minutes on a style road to the top of a mountain. Down there, the road goes downhill. Its uphill speed is 20 km/h and 60 km/h downhill. The distance from the mountain's summit to its destination is 30 km. Calculate the average speed - Coordinates hexagon
The regular hexagon ABCDEF is given. Point A has coordinates [1; 3], and point D has coordinates [4; 7]. Calculate the sum of the coordinates of the center of its described circle. - IQ Intelligence quotient
Intelligence quotient (IQ) is a standardized score used as the output of standardized intelligence psychological tests to quantify a person's intelligence with the rest of the population (respectively, to a given group). Intelligence has an approximately
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