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:
i would say you need to divide 45 and 3. then subtract 45 and 15. then with those two numbers you need to put the amount from 45 / 3 on the top and the 15-45 on the bottom. you will get the probability.
i think don't quote me
Answer:
A) y=-6x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-17-(-5))/(3-1)
m=(-17+5)/2
m=-12/2
m=-6
y-y1=m(x-x1)
y-(-5)=-6(x-1)
y+5=-6(x-1)
y=-6x+6-5
y=-6x+1
Answer:
What will help is labeling the diagram with the given info..A proof always ends with the statement you have to prove.
Step-by-step explanation:
STATEMENT..............REASON
1) ∠F≅∠C 1) Given
2) E is the midpoint of GD 2) Given
3) GE≅ED 3) If a point is a midpoint then 2 ≅ segments are formed
4) FE≅EC 4) Same as 3
5)∠G≅∠D 5)
6) FG≅CD 6)
I tried my best with step 5 and 6..but you know step 6 has to be the prove statement but i don't know what the reason would be. I hope i helped a bit though.
Answer:
y = 2x
the formula for linear equations are y = mx+c,
where m is the gradient,
and c is the y-intercept
to find m (the gradient):
1. pick to points on the graph (eg. -2,-4 and 2,4)
2 substitute the values into the formula for gradient y2-y1/x2-x1.
m = y2-y1/x1-x2
= -4 -4/-2-2
= -8/-4
= 2
to find c (y-intercept):
- the y-intercept is where the graph cuts the y axis
- in this graph, the y-intercept is 0
hence,
c = 0
substitute m = 2 and c = 0 to y = mx+c,
y = 2x + 0
y = 2x
hence, the equation that best represents the relationship shown in the graph is y = 2x.
