Answer: a) P = 0.5, b) P = 0.07
Step-by-step explanation:
Hi!
Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.
a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.
It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.
b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:

Answer:
15 bags
Step-by-step explanation:
3 = 12/4
3 3/4 = 3+3/4 = 12/4 + 3/4 = (12+3)/4 = 15/4
(15/4) ÷ (1/4) = 15
The circumference of a circle of radius
is

So, in your case, the circumference is

The circumference is actually the length of the "perimeter", so the answer to questions 1 and 2 looks the same actually
The domain and the range of the function are all possible values of the x and y, respectively, that function can take.
The range is given by:
The domain is given by:
Answer:Well, divide 50 from 70 to get your answer and if you want you can double check your work but whatever your answer is after you divide is your answer (mine was 1.4). Sorry my typing might sound weird or I got the wrong answer I am just tired.
Step-by-step explanation: