Answer:
Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}
Step-by-step explanation:
When they ask for the sample space they want to know all the possible combinations for:
Toppings Meats Dressings
M = Mushrooms T = Turkey R = Ranch
A = Asparagus P = Pepperoni V = Vinaigrette
The easiest way to see all the combinations is doing a tree diagram in which you put all the posible options, as in the image.
After that you just follow each of the lines to make all the posible combinations form which we get:
Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}
The answer is 5/8 because 2+3 is 5
963 / 6 = 160.50 <=== u just have to divide the total prize money by the number of riders on the team
Answer:
11.55
Step-by-step explanation:
An equilateral triangle is one which all it sides are equal.
10cm altitude means the height is 10cm.
Using Pythagoras theorem,
x² = 10² + (x/2)²
Assume that the side of the triangle is xcm
x² - x²/4 = 100
3x²/4 = 100
x = √(400/3)
x = 11.55cm