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:
375
Step-by-step explanation:
12½[30] → 25⁄2[30]
Multiply 25 by 30 [750] then divide by 2 to get 375.
I am joyous to assist you anytime.
The image is not really clear
You're using inverse operation to solve this equation. Now you just have to think about it. What number plus 20 would equal the same number squared? The answer would be 5, since
5+20=5^2
25=25
The statement above is true :)
Another number that would work for the equation would be x= -4
-4+20=-4^2
16=16
The statement above is also true so your answer would be x=-4 and 5
Answer:
statement 'a' and 'b' are comparing two different things
Step-by-step explanation:
statement 'a' is referring to arriving at a selling price for at least one product
but, assuming the store sells more than one product then there is no correlation to the profit margin of the store as a whole