Answer:

Step-by-step explanation:
From the table we have to:
Probability of syrup is 0.96
Probability of waffles and syrup is 0.32
P (Waffles | Syrup) = P (Waffles and syrup) / P (syrup)
So:
If this equality is met, the probabilities are dependent, if on the contrary
P (Wafles | Syrup) = P (Wafles) then are independent probabilities.

So we have to:

The probabilities are dependent.
Answer:
x^2-3x-54
Step-by-step explanation:
(x+6)(x-9) Setup the roots
x^2-9x+6x-54 FOIL out the terms
x^2-3x-54 Add like terms together
Answer: Look you have a website called symbolab and another called desmos for this stuff.
Step-by-step explanation:
All others did not satisfy the inequality simultaneously except #4 and #6
For #4:
2 < 5(1) + 2 i.e. 2 < 7 (true)
2 >= 1/2(1) + 1 i.e. 2 >= 3/2 (true)
For #6
2 < 5(2) + 2 i.e. 2 < 12 (true)
2 >= 1/2(2) + 1 i.e. 2 >= 2
The picture below shows the formula for calculating slope
In this example:
y2 = 4
y1 = -4
x2 = 5
x1 = 3
(These are the numbers you substitute into the formula)
Calculations:
4 - (-4) = 8
5 - 3 = 2
8/2 = 4
As you can see, after the values are substituted into the equation & simplified, the slope is equal to 4