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3. During a recent 10 years, 808,715,710 fans attended major league basketball games. What digit is in the ten millions place in 808,715,710?

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Related questions

The 9 teachers in the Math Department are required to pick a random team out of 30 major league teams to cheer for in the next baseball season. What is the probability that at least two of the teachers have picked the same team? Evaluate as a percent to the nearest 1 decimal place. Show your work.ย 

Mr and Mrs Spin operate a Ferris Wheel at various shows and carnivals. A passenger sits in a capsule and enjoys the ride and views. Below is a diagram showing their magnificent wheel:

Passengers embark and disembark the capsule from the platform (a maximum of 6 passengers are allowed at any given time). The time for a passenger to enter the capsule and return to the platform is 6x minutes. The process repeats until the final passenger(s) embark at no later than 10 pm each evening. The Ferris Wheel runs in an anti-clockwise direction. The height h, in metres, from the ground to a capsule, is measured from the ground to the ball on top of any capsule. It is modelled by ๐’‰(๐’•) = ๐’‚ โˆ’ ๐›cos (๐…/ ๐Ÿ‘) A passenger pays 3y dollars for a ride on the wheel. The variables a, b, x and y are as follows: ยง a is equal to 14 (i.e. a=14) ยง b is equal to the last digit of your student id plus 2 (e.g. if your id is 4567891 then b=3). ยง x is equal to the third digit of your id plus 3 (e.g. if your id is 4567891 when x=9). ยง y is equal to the month that you are born plus 6 (e.g. if you are born in July then y=13). Mr and Mrs Spin would like you to do the following mathematical analysis and present the results in a report for their consumption.

Task 1:

What are the minimum and maximum height of a capsule on the Ferris Wheel?

Task 2:

Determine the heights of each of the capsules on the Ferris Wheel while passengers either embark or disembark a capsule. Present these heights in table form, with appropriate labelling.

Task 3:

Determine the time when the final passenger(s) will disembark the capsule and the Ferris Wheel cease for the evening (remember that the final passengers will embark no later than 10 pm). Note, it is possible that the final passenger(s) may embark the capsule prior to 10 pm, so the answer to this task may not be 10 pm + 6x.

ย 

Task 4:

Evaluate the number of capsules that will have a passenger(s) embark for any day, given the Ferris Wheel will commence at 4 pm and the time for passenger(s) to embark and disembark is considered negligible.

4. (20 pts) A town consumed 500 million gallons of water 1998. The town's water consumption grew at a constant rate to 545 million gallons in 2010. a) (10 pts) Find a linear function W(t) for the town's water consumption in millions of gallon where t is the number of years since 1998. b) (5 pts) Using units, interpret the slope in terms of water consumption. c) (5 pts) In what year did the town consume 515 million gallons of water?

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