Given parameters:
y varies directly as w;
This interpreted implies that as y increases, we increases by a certain factor or amount;
So, y ∝ w
y = kw
where k is the constant of proportionality
Now, given that y = 8 and w = 2
Input in the equation to solve for k;
8 = k x 2
Solving k gives, k = 4
Now to the second part,
if v is directly proportional to w;
v = k w
So v = 4w
The equation that relates v to w is v = 4w
I would say the answer is B
Answer: The formula to find the speed of the Ford could be F = B - 20.
Since the Ford is 20 mph slower than the Buick, all you have to do is subtract 20 from the speed of the Buick. We know the speed of the Buick, it is 65.
Therefore, the speed of the Buick is 65 - 20 or 45 mph.
Answer:
The bearing of the airport from the plane is 245°
Step-by-step explanation:
The bearing of a point from a location is given by the angle in degrees of rotation from the Northern direction of the location to the direction of the location of the point
The given bearing of the plane from the airport = 65°
Therefore, the direction of the plane from the Northern direction of the airport = 65°
From the Northern direction of the plane, the bearing of the airport = 245°
We seems to be being asked the probability of rolling at least one four in fifty tries, which should be pretty high. As usual with "at least" questions, we write
p = P(at least one 4) = 1 - P(no fours at all)
The probability of a four on one roll is of course 1/6, so the probability for "not a four" is 1-1/6=5/6. We want the probability of a conjunction of 50 independent events: no four on the first roll and no four on the second roll and...
For a conjunction of independent events we multiply their probabilities. That's 5/6 times itself 50 times. So our answer is

If we need a decimal approximation, it's
