Updated: Oct 17, 2021
What is 25% of 1% of 500% of 120?
Maps to Category 45 of my book.
Answer on 10/17/2021: Correct answer is 1.5.
Convert all the percentages to decimals and then multiply all the numbers. The order of the numbers during multiplication does not matter.
0.25 x 0.01 x 5 x 120 = 1.5
If you are not familiar with converting percent to decimal, check the Math Corner under Resources.
Updated: Oct 10, 2021
If the integer 135 is removed from the data set containing the integers 3, 15, 42, 180, 135, 43, 3, 42, 12, 210 and the mean, the median, and the range are recalculated, which of the following will change?
A) Mean
B) Median
C) Range
D) All of them
Maps to Category 64 of my book.
Answer posted on 10/10/2021: Correct answer choice is A.
Order the numbers least to greatest: 3, 3, 12, 15, 42, 42, 43,135, 180, 210.
Median:
The median of data set is the average of the 5th and the 6th number. Since both the numbers are 42, the median is 42.
After removing 135, the numbers are 3, 3, 12, 15, 42, 42, 43,180, 210. The median is the 5th number = 42. Hence, the median does not change. This eliminates answer choices B and D.
Range:
Since the lowest and the highest numbers of the data set remain the same after removing 135, the range does not change. This eliminates answer choice C.
Updated: Oct 3, 2021
Maps to Category 9 of the book.
There is a flashcard for this concept. It is accessible from the Resources page.
Answer posted on 10/03/2021: Correct answer choice is D.
For a system of equations to have no solution, the ratio of c cannot be same as the ratios of a and b.
The ratio of a in the two equations is 2:5. If c = 25, then the ratio of c in two equations will be 10:25 = 2:5. Hence, c cannot be 10 for the system to have no solution.