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)}
Answer: .0459
Step-by-step explanation:
Answer:
Step-by-step explanation:
Inches per hour is the rate we are looking for here, which will then be the slope of the linear equation. Slope is the same thing as the rate of change. While this may not seem all that important right now, it's actually a HUGE concept in higher math, especially calculus!
If the pool is filling at a rate of 2 inches per every 4 hours, then by dividing, we get that the rate is 1 inch every 2 hours, which translates to a slope of 1/2. Creating an equation with this slope:
Let's check it. We are told that after 4 hours there are 2 inches of water in the pool. That means if we plug in 4 for t and solve for w, we should get w = 2:
and
w = 2. So we're good!
Answer:
y = 1/3x + 4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: 
Step 1: Find slope <em>m</em>
m = (2 - 3)/(-6 - -3)
m = -1/(-6 + 3)
m = -1/-3
m = 1/3
y = 1/3x + b
Step 2: Find y-intercept <em>b </em>(plug in coordinates)
3 = 1/3(-3) + b
3 = -1 + b
b = 4
Step 3: Rewrite linear equation
y = 1/3x + 4
Every other number is a even number because you can make groups with the even number and odd numbers you can't because it's more weird.
