Other Math Answers

The huge volcanic eruption on the island of Krakatoa, Indonesia, in 1883 was heard on Rodrigues Island, 4,782 km (2,970 miles) away. How long did it take the sound to travel to Rodrigues? (Assume the air temperature is 20°C.)

Bureau of labor statistics wants to use statistics to determine whether there is difference between two countries on some measure of labor or between time periods for one country. The bureau reports that hourly compensation rates in US dollars for manufacturing production workers in country ‘A’ in 2015 and 2019 were $25.96 and $28.29 respectively. Hourly compensation rates for country ‘B’ over same period of time were $19.26 in 1995 and $23.89 in 2004. According to the survey by labor department the hours actually worked by employees per week in country A in 2015 were 36.1 and were 35.5 in 2019. For country B the figures were 37.1 in 2015 and 35.9 in 2019.
ii. How will you help the department statistically to find whether the difference between the two countries’ average workweek is significant or not?(7marks)

in the olden days, type was set by hand using lead pieces. the type had to be carefully put together. the printer wants to print a list of whole numbers from 1 to 1,000 in order to find the primes under 1,000. if he had 100 of each of the digits from 0 to 9 , how many numbers could he set before he ran out of some digits?

Given one example each from the real world for the following, along with justification, for your
example
i) A non-linear model
ii) A linear, deterministic model.

Bureau of labor statistics wants to use statistics to determine whether there is difference between two countries on some measure of labor or between time periods for one country. The bureau reports that hourly compensation rates in US dollars for manufacturing production workers in country ‘A’ in 2015 and 2019 were $25.96 and $28.29 respectively. Hourly compensation rates for country ‘B’ over same period of time were $19.26 in 1995 and $23.89 in 2004. According to the survey by labor department the hours actually worked by employees per week in country A in 2015 were 36.1 and were 35.5 in 2019. For country B the figures were 37.1 in 2015 and 35.9 in 2019.
How will you help the department statistically to find whether the hourly labor cost in country A in 2019 was significantly higher than the 2019 hourly labor cost in country B based on given figures? (8marks)

A machine manufactures spare parts at the rate of 20, 000 per month. A second machine uses those spare parts at the rate 50 00 per month and remainder put into stock. It cost ₦100, 000 to set up the machine the company establish their stock hold costs 20% per annum of the average stock value each parts costs ₦250 to make. Required What batch size should be produced on the first machine and what frequency.

A machine manufactures spare parts at the rate of 20, 000 per month. A second machine uses those spare parts at the rate 50 00 per month and remainder put into stock. It cost ₦100, 000 to set up the machine the company establish their stock hold costs 20% per annum of the average stock value each parts costs ₦250 to make. Required What batch size should be produced on the first machine and what frequency.

The blind men and the elephant is a famous indian fable that tells the story of six blind sojourners that come across different parts of an elephant in their life
journeys. In turns each blind creates own version of reality from that limited experience and perspective. How you relate this story in the study of mathematics?

Tom, Fred, John, and Bill are friends whose occupations are (in no particular order) nurse, secretary, teacher, and pilot. They attended a church picnic recently, and each one brought his favorite meat (hamburger, chicken, steak and hot dogs) to barbecue. From the clues below, determine each man’s name, occupation and favorite meat.
1. Tom is neither the nurse nor the teacher 2. Fred and the pilot play golf together. The burger lover and the teacher hate golf 3. Tom brought hot dogs. 4. Bill sat next to the burger fan and across from the steak lover. 5. The secretary hates golf.