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In: Advanced Math

Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C,...

Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F.

  1. How many hexadecimal strings of length twelve have five A’s and five B’s?
  1. How many hexadecimal strings of length twelve have at most three E’s?
  1. How many hexadecimal strings of length twelve have exactly three A’s and at least two B’s?

  1. How many hexadecimal strings of length twelve have exactly two A’s and exactly two B’s, so that the two B’s are sandwiched between the A’s? 00A0 B8B8 111A is an example of such string.

  1. How many hexadecimal strings of length twelve have six digits from the set 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and six digits from the set A, B, C, D, E, F? No repetition is allowed.

  1. How many hexadecimal strings of length twelve have four digits from the set 0, 1, 2, 3, 4, 5, four digits from the set 6, 7, 8, 9, A and four digits from the set B, C, D, E, F?

  1. How many hexadecimal strings of length twelve have at least three distinct digits?
  1. How many hexadecimal strings of length twelve, have the sum of all digits equal to 30? Allowed digits are 2, 3,..., 9

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A = [4, 5, 9] B = [-4, 5, -7] C = [2, -7, -8, 5]...
A = [4, 5, 9] B = [-4, 5, -7] C = [2, -7, -8, 5] D = [1, -9, 5, -3] E = [3, 3, -1] Uz = 1/|z| ^z d(X,Y) = (Rθ) d = diameter R = Radius θ = Theta Find a. Uc b. d (D, C) c. Let P = B + 3E, UP = d. A x B e. 3B x E f. C x D
Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5,...
Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. (a) How many strings of hexadecimal digits consist of from one through four digits? (b) How many strings of hexadecimal digits consist of from two through five digits?
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A = (1 −7 5 0 0 10 8 2 2 4 10 3 −4 8 −9 6) (1) Count the number of rows that contain negative components. (2) Obtain the inverse of A and count the number of columns that contain even number of positive components. (3) Assign column names (a,b,c,d) to the columns of A. (4) Transform the matrix A into a vector object a by stacking rows. (5) Replace the diagonal components of A with (0,0,2,3). Hint:...
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Input Data Month 0 1 2 3 4 5 6 7 8 9 10 11 12...
Input Data Month 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Revenue $             -   $            -   $            -   $        -   $        -   $         -   $    2,500 $    2,875 $    3,306 $    3,802 $    4,373 $    5,028 $    5,783 $    6,650 $    7,648 $      8,795 $   10,114 $   11,631 $   13,376 $   15,382 $   17,689 $   20,343 $   23,394 $   26,903 Monthly Revenue Growth...
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