Complete Study Solutions
Sum of internal angles
Question: What is the measure of internal 18-gon? Correct Answers: Equation: 180(n-2)/ (# of
angles)
Average velocity Correct Answers: Total distance traveled/ total time
Compound interest formula Correct Answers:
Standard deviation bell percentages Correct Answers: also normally distributed means 50 above and
50 below
Standard deviation formula Correct Answers:
How many ways can you ways (orders) can you arrange x amount of things? Correct Answers: Use a
permutations
6 cards
so 6 x 5 x 4 x 3 x 2 x 1=
How to choose 7 people out of 10? Correct Answers: (total number)!/ (chosen number!) (total -
chosen)!
Ex) 10!/ (7!) (3!)
How many distinct ways can 2 people sit in 5 chairs? Correct Answers: When order matters,
(total number)!/ (total-chosen)!
, Angle's complement definition Correct Answers: 90 degree - angle
angles that add up to 90
Supplement angles definition Correct Answers: angles that add up to 180
If side length is doubled, what happens to the area? Correct Answers: The area quadruples...2^2
If the 3D thing is double, what happens to the volume? Correct Answers: The area 2^3! eighth?
To translate comparative ratios into probability, what do you do?
X:Z 3:24
Y:Z 16:24
X:Y:Z 3:16:24 Correct Answers: Add the remaining ratios
3+16=19
3 is what we're looking for out of total, so 3/19
Calculate GPA question
Julia took 4 courses at her college this past semester. She earned an A in chemistry (3 credits), a B
in chemistry lab (1 credit), an A in Spanish (4 credits), and a C in Fruit Science (1 credit). If grades
are weighted such that an A is four grade points, a B is three grades points, and a C is two grade
points, what is Julia's grade point average from this past semester?
A. 2.89
B. 3.00
C. 3.50
D. 3.67
E. 4.00 Correct Answers: To solve this problem, we can set up the following expression to divide her
total grade points (grade points multiplied by credits) earned by the total number of credits:
((3x4)+ (3x1) + (4x4) + (2x1))/ 3 + 1 + 4 + 1
Rate people can do things together at different paces
Jeff can paint a wall in 3 hours, while Will can paint the same size wall in 5 hours. If they work
together and charge $40 an hour to paint walls, how much should they charge to paint 3 walls?
A. $80
B. $160
C. $175
D. $205
E. $225 Correct Answers: Set up=
(1/ person 1 time) + (1/person 2 time)= 1/time total together (1/x)
find common denominator, and solve for X