B. they are directly proportional because she keeps taking 3 at a time to his 1 at a time.
Exp prob (red) = 24 / 60 = 4 / 10 = 2/5
Theoretical prob (red) = (1/2)
Exp prob (blue) = 14 / 60 = 7 / 30
Theoretical prob (blue) = 1/6
Exp prob ( yellow) = 22/ 60 = 11/30
Theoretical prob ( yellow) = 2/6 = 1/3
Answer:
In step by step
Step-by-step explanation:
For #1, everything is perfect.
For #2, you wrote your functions out incorrectly, but your x input and y output are correct
#3 is a little messed up.
Your function is f(x)=-3x+1. Your given x's are -3, -1, 0, 1, 2, and 3. Plug all of these in.
1. f(-3)=-3(-3)+1
2. f(-1)=-3(-1)+1
3. f(0)=-3(0)+1
4. f(1)=-3(1)+1
5. f(2)=-3(2)+1
There 2 angles are corresponding angles, in which the angle measurements would have the same degree.
Set the two angles equal to each other, and solve for x.
7x - 1 = 8x - 14
Isolate the x. Subtract 8x from both sides, and add 1 to both sides
7x (-8x) - 1 (+1) = -14 (+1)
7x - 8x = -14 + 1
-x = -13
Isolate the x. Divide -1 from both sides
(-x)/-1 = (-13)/-1
x = -13/-1
x = 13
13 is your answer for x.
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