I am pretty sure that the main thing that we should do to solve this task is to do this :
which is weighted average as it only can be found by adding <span>the products of each corresponding value. Hope everything is clear! Regards!</span>
For the answer to the question above, the answer is simple, and it is -1 (because even powers of an imaginary number or i will always give a -1).I hope my answer helped you with your problem. Have a nice day!
Answer:
Terrence's
Step-by-step explanation:
The length of the square that will be cut out is the height of the box.
1. a
Anya's method: 8.5 -1.5 =7, 11- 1.5 =9.5, the height is 1.5, so the volume is height x length x width which is 1.5 x 9.5 x 7 =99.75 squared inches.
Terrence's method: 8.5-3 = 5.5, 11-3 = 8. Vol= 5.5 x 8 x 3 =132 squared inches. 99.75 < 132 squared inches, Terrence's idea would create larger volume.
1. b
The box's size depends on the length/width/height of the cardboard being cut, which is why different measurements / cutting methods for the same size cardboard can result in different box sizes.
2. The square would be cut from all four corners, therefore the sum of the 2 squares on the cardboard cannot exceed the short side of the cardboard. The shorter side of the cardboard is 8.5 inches, divided by 2 = 4.25 inches, hence the squares cannot be larger than 4.25 inches. Keep in mind that if you cut exactly 4.25 inches you will have a strip of 2.5 inches width that cannot be turned into a box.
If you want to cut 5 inches squares out, depending on how you draw it, it would either overlap or go outside of the paper because 5+5 is ten, surely on the 11 inches side that would still be perfectly fine but for the 8.5 inches side, there isn't any room for the 10 inches.
Answer:
Step-by-step explanation:
The question is not in correct order ; so the first thing we are required to do is to put them together in the right form to make it easier to proof; having said that. let's get started!.
From the second part " You may find the following integral useful: For any non-negative integers k and m,"
The next equation goes thus : 
a. Find the PMF of 
. (Express your answer in terms of t using standard notation.)
For t=1,2…,
(t)= 
by using conditional probability to solve PMF
b) Find the least mean squares (LMS) estimate of Q based on the observed value, t, of T1. (Express your answer in terms of t using standard notation.)
By using the mathematical definition of integration to solve the estimate of Q:
c) We flip each of the k coins until they result in Heads for the first time. Compute the maximum a posteriori (MAP) estimate q^ of Q given the number of tosses needed, T1=t1,…,Tk=tk, for each coin.
The MAP estimate of q is :
