To solve this we are going to use the formula for the area of a circle:
where
is the area of the circle
is the diameter of the circle
We know from our problem that the area of our circle is 10 inches long, so
. Lets replace that value in our formula to find
:
We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.
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:
y = 4/5x - 9/5
Step-by-step explanation:
4x - 5y = 9 to solve for y you get it by itself.
-4x -4x minus 4x from both sides
-5y = - 4x + 9
/-5 /-5 Divide both sides by 5
y = 4/5x - 9/5 because -4/-5 is 4/5 and 9/-5 is - 9/5
Answer:
x-intercept = 9 y-intercept = 5
Step-by-step explanation:
