The run is the _________ change between two points along a line
2 answers:
Answer:
The run is the <u>horizontal </u>change between two points along a line
Step-by-step explanation:
The slope of a line can be defined as
On comparing, we can say below mentioned things:
The run is always in the x direction and we take the horizontal axis as x-axis.
And rise is always in the y direction and we take the vertical axis as y-axis.
Therefore, we can conclude that the run is the <u>horizontal </u>change between two points along a line
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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:
