Sketch the region bounded by the curves y=3x3, x+y=4, and y=0. Find the coordinates of the centroid.

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Area of a rectangle = length x width
For this postcard:
length = 4 in
width = (3+b) in
area = 24 in^2

Substitute into the area formula:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch

Observe the squares... 13 is attainable owing to it being expressible as the sum of two squares (integers) 9 + 4.. utilize (0,3) and (2,0)... derive the square roots and assign them to different coordinate axes... for a more straightforward value. However, no such representation exists for 15... There is a representation available for 18... 18 = 3^2 + 3^2... try (0,3), (3,0), (3,6), (6,3).

Response:  a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

Detailed explanation:

In Problem 8-4, the computer time-sharing system experiences teleport inquiries at an average rate of 0.1 per millisecond. We are tasked with determining the probabilities of the inquiries over a specific period of 50 milliseconds:

Given that

Applying the Poisson process, we find that

(a) at most 12

probability=  

(b) exactly 13

probability=

(c) more than 12

probability=

(d) exactly 20

probability=

(e) within the range of 10 to 15, inclusive

probability=

Thus, a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

Answer:

No, she did not.

Step-by-step explanation:

Calculate the total expense for the food and then divide by 6. You will see that she falls short.