Wednesday, September 20, 2017
Wednesday, September 13, 2017
Wednesday, September 6, 2017
A year is defined by how long it takes a planet to make a single orbit around the sun. An Earth year is 365.2422 days. To make up for the decimal part we have a leap year every four years and skip the leap year if the number of the year is divisible by 100. This means we had leap years in 2004, 2008, 2012 and 2016, but we did not have one in 2000. What this lesson is about is to take the decimal part of this time and turn it onto hours, minutes and seconds.
Step 1. Multiply the decimal part by 24 to get the number of hours.
In this case, .2422 x 24 = 5.8128, which means 5.8128 hours.
Step 2. If there is still a decimal part, multiply it by 60 to get the number of minutes. We know know a year is 365 days, 5 hours and some number of minutes. That number is 60 x .8128 = 48.768
Step 3. If there is still a decimal part, multiply it by 60 to get the number of seconds.
We know know a year is 365 days, 5 hours, 48 minutes and some number of seconds. That number is 60 x .768 = 46.08. In these problems, it is okay to round to the nearest tenth of a second, so the final answer is 365 days, 5 hours, 48 minutes and 46.1 seconds.
Let's do another example. A year on Venus is 224.65 Earth days.
Step 1. .65 x 60 = 15.6, so the year on Venus is 224 days, 15.6 hours.
Step 2. 60 x .6 = 36, so that makes the year on Venus 224 days, 15 hours and 36 minutes. There is no more decimal part, so we don't have to add any seconds to our answer.
Here are two more practice problems. The answers are in the comments.
1. It takes Mercury 87.969 Earth days to travel around the sun. Write this number in days, hours, minutes and seconds.
2. It takes Mars 686.98 Earth days to travel around the sun. Write this number in days, hours, minutes and seconds.
Thursday, August 31, 2017
Wednesday, August 23, 2017
Monday, August 21, 2017
Friday, July 21, 2017
Tuesday, July 18, 2017
A quick reminder: this homework will not be accepted late because the answer sheet will be given out at the end of class to help study for Thursday's midterm.
Notes on scientific notation
Notes on Set Theory
Notes on Venn Diagrams
Notes on contingency tables and probabilities
Thursday, July 13, 2017
Tuesday, July 11, 2017
Thursday, July 6, 2017
Thursday, June 29, 2017
Notes on decibels and bels (measuring sound) and the Richter scale (measuring earthquakes)
Notes on square roots, approximate and simplified, also Pythagorean Theorem problems
Notes on rates at different scales, notably death rates per 100,000 people
Wednesday, June 28, 2017
Saturday, June 24, 2017
Notes for converting from binary (base 2) to decimal (base 10) and binary to hexadecimal (base 16)
Notes for the logical operators AND (^), OR (v) and NOT (~)
Converting repeating decimals to fractions in lowest terms
Tuesday, June 20, 2017
Monday, June 19, 2017
Friday, March 24, 2017
Thursday, March 16, 2017
Wednesday, March 8, 2017
Saturday, March 4, 2017
Sunday, February 19, 2017
Because of the Monday holiday, homework is due on Wednesday. There will be no quiz this week.
Notes on the Richter scale and bels and decibels, abbreviated B and dB.
Notes on square roots and the Pythagorean Theorem.
Friday, February 10, 2017
Thursday, February 2, 2017
Wednesday, January 25, 2017
Monday, January 23, 2017
Sunday, November 27, 2016
Friday, November 18, 2016
Notes on frequency tables and the five number summary
Notes on frequency tables, n (length of list) and sum(x)
Notes on the shared birthday problem
Notes on binomial distributions (on our homework, making free throws)
Notes on using the normal distribution system (z-scores and look-up tables) to find the percentage between two z-score values (on our homework, males listed at a certain height, on the website, females listed at a certain height. Only the mu and sigma are different.)
Thursday, November 10, 2016
I made a mistake labeling this homework assignment, calling it Homework 11. It is actually Homework 10 for the Tuesday-Thursday class.
These notes are from my statistics blog. The links contain a lot of information that we won't get to in Math for Liberal Arts. You should be able to search in your web browser for words like "mean", "median" and "mode", etc.
Notes on mean, median and mode
Notes on the five summary and outliers
Notes on raw scores to z-scores to proportions, also percentiles to z-scores to raw scores