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:
You factor out primes from the root, for example:
root 100
you can get 10 from it, or we'll use 5
100/5=20
20/5=4
root 4= 2
because there are 2 "5" we can bring that out of the root, there are 2 "2" so we bring that out too.
When a number is taking out of a root, the 2 exact same numbers become one. in this case, there are ONE 5 and ONE 2 outside the root. then You multiply 5 and 2 together, and you get 10
Answer:
The absoulute value is 4 and 6
Step-by-step explanation:
Every Absolute value is a postive number
Answer:
9ft
Step-by-step explanation:
The area is 135ft and the formula for area is length x width.
on the image it shows the height is 5yds and we want feet since that's that the area is in. a yard = 3 feet so its 3 x 5 = 15.
since the formula to find area is multiplication, use division to find a number in the equation. so
135 divided by 15 = 9.
The length of the base is 9ft.
Answer:
The cost of the aquarium was $38
Step-by-step explanation:
I got 60% of 100 and it was 60 so it was $40 but then the sales tax was $2 so I subtracted and got 38
