Answer:
All work and answers are in the picture
9. Ella is a landscape photographer. One
1 answer:
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So when you're solving for x here and distribute 8 on the right side, it would look like this:
Now in order to solve for x, we know we have to get all the x's on one side of the equal sign. Let's get all our x's to the left side. Since the right side has a positive 8x, you need to subtract 8x on the right. But whatever you do to one side you must do to the other. So since we are subtracting 8x on the right, we need to do that on the left.
But we can't! Since both sides will cancel out to zero before x can be solved.
Therefore the answer is 0.
Hope that helps!
Answer:
The minimum value for is
.
Step-by-step explanation:
Given function is
We need to find the maximum value or the minimum value for the function.
Now, differentiate w.r.t
.
Now, we will equate to find critical point.
Plug this critical point in to the function we get,
Also, which is positive, We have minimum value.
So, the minimum value for is
.
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:
