4(2d - 6) + 6c
I think this is right? Hopefully it's right! I checked it, I think. Well, good luck!
Answer:
Step-by-step explanation:
<u>Substitute:</u>
<u>Then the expression becomes:</u>
The result is 1 regardless the value of x other than 1.
Answer:
0.4375
Step-by-step explanation:
Lets say that X is the random varaible that determine the arrival time of Bob and Y the random variable that determine the arrival time of Alice. Bot X and Y are Independent random variables with uniform [0,1] distribution. 15 minutes is the quarter of an hour, so we want to calculate P(|X-Y|) < 0.25.
Note that P(|X-Y| < 0.25) = P(|X-Y| < 0.25 | X ≥ Y) * P(X≥ Y) + P(|X-Y| < 0.25 | Y ≥ X) * P(Y ≥ X) = P(X-Y < 0.25 | X ≥Y) * P(X≥Y) + P(Y-X < 0.25 | Y≥X)*P(Y ≥ X).
For a simmetry argument, that expression is equivalent to 2*P(Y-X < 0.25 | Y≥X)*P(Y ≥ X) = 2*P(0 < Y-X < 0.25). The region 0 < Y-X < 0.25 is, for X between 0 and 0.75, a parallelogram, of base 0.75 and height 0.25, and for X between 0.75 and 1, it is a Triangle of base and height equal to 0.25. Therefore P(0 < Y-X < 0.25) = 0.25*0.75 + 0.25² * 0.5 = 7/32. Hence 2*P(0 < Y-X < 0.25) = 14/32 = 0.4375.
They will meet for lunch with probability 0.4375
Answer:
x-intercept: (3/2, 0)
y-intercept: (0,-2)
Step-by-step explanation:
To find the y-intercept, convert the equation to slope intercept form.
4x-1=3y+5
4x-1-5 = 3y
4x -6 = 3y
4/3 x - 6/3 = y
4/3 x - 2 = y
The y-intercept is -2 or (0,-2).
To find the x-intercept, plug in the value 0 for y.
4/3 x - 2 = 0
4/3 x = 2
x = 2 * 3/4
x = 6/4
x=3/2 or (3/2, 0)
