The mode of 9 numbers between 0 and 100 inclusive is 12. Their median is 41, and the range is 75. What is the largest possible value of the mean?

To the nearest integer, find the harmonic mean of the numbers 20, 30, 40 and 50.

A college reports:

-75% of incoming freshmen attended a public high school.

-60% of public schoolstudents who enroll as freshmen eventually graduate.

-70% of other freshmen graduate.

What percentage of students who graduate from this college attended a public high school? Assume all students enroll as freshmen).

y₁ `=abs(4-x)` and y₂ `=4-abs(x-2)` . Find the area of the parallelogram formed in the first quadrant between both functions.   

y₁ = |` ` 4 – x | and y₂ = 4 – | x – 2 |. Find the area of the parallelogram formed in the first quadrant between both functions. 

A number has 3 digits if expressed in base 7, and the same 3 digits in reverse order if expressed in base 9. Find the base 10 representation of the number.

If a positive factor of 2016 is selected at random, what is the probability that it is less than 30?

Py Thag drives to the Parthenon each day to meet his friend, Ein Stein, at 6AM. If he averages 40mph, he arrives at 6:03AM. If he averages 60mph, he arrives at 5:57AM. What speed (in mph) should he drive to arrive at exactly 6AM?

Solve for x: `4^(32^x)` = `16^(8^x)`.

No motorized vehicles are allowed on Mackinac Island in Michigan, so I decided to rent a horse and buggy. The circular road around its perimeter took 2 hours and 40 minutes at 3mph. What is the area of the island in square miles?

A new operation * has the following properties:

a * b = b * a

a * 0 = a

(a * b) + b – 3 = (a + 1) *b

Find 17 * 2.