Question
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.
- How many hexadecimal strings of length twelve have five A’s and five B’s?
- How many hexadecimal strings of length twelve have at most three E’s?
- How many hexadecimal strings of length twelve have exactly three A’s and at least two B’s?
- 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.
- 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.
- 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?
- How many hexadecimal strings of length twelve have at least three distinct digits?
- How many hexadecimal strings of length twelve, have the sum of all digits equal to 30? Allowed digits are 2, 3,..., 9
Solutions
Colby Messinger answered 1 year agoRelated Solutions
a = [3, -4, 7] b = [-6, 9, 8] c = [4, 0, 8] d...
a = [3, -4, 7] b = [-6, 9, 8] c = [4, 0, 8] d =[7, 1, 7] e = [3,
-5, 2, 1] f =[5, -7, -3, 6] g = [3, -4, 4, 3]
P = Projection of
ex. C = |g|(gf/gf) C = gf/|f|
ex. P g --> f = Cgf = C(gf/f) (1/|f|) (f) =( gf/ff)(f)
Find
a. Pg --> f
b. Pa --> 3b + e
Find (cross multiply)
a. ||a X b||
b. ||g...
a = [4, −9, 4] b = [7, 2, 3] c = [5, −8, 9] d...
a = [4, −9, 4] b = [7, 2, 3] c = [5, −8, 9] d = [1, −3, 2] e =
[6, −2, −5, 9] f = [4, −3, 7, 5] g = [1, 3, −1, 5]
h = [7, −5, 5] i = [5, 13, −7, 11]
Express the hyperplane implicitly or explicitly given the
following
a) a and h
b) f and i
c) e, f, and g
d) The hyperplane containing b, c and d can...
x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7...
x 2 8 5 9 4 3 9 6 7 8
y 3 6 5 7 9 7 4 6 9 9
-5.48x + 0.17
5.48x + 0.17
-0.17x + 5.48
0.17x + 5.48
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
Matrix A2= [1 2 3; 4 5 6; 7 8 9; 3 2 4; 6 5...
Matrix A2= [1 2 3; 4 5 6; 7 8 9; 3 2 4; 6 5 4; 9 8 7]
Note: TA2 is defined to be a linear transformation that maps
any vector x to A2* x. That is TA2 = A2*x. Also the range of the
Linear transformation represented by A2 is the same as the column
space of A2.
l) Find a basis for the null(TA2).
m) Find nullity of A2, TA2 and A2tA2.
n) Find rank(A2), rank(A2t),...
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?
Period 0 1 2 3 4 5 6 7 8 9 10 11 PBP NPV IRR...
Period
0
1
2
3
4
5
6
7
8
9
10
11
PBP
NPV
IRR
Project A
$
(1,000,000)
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 400,000
Project B
$
(1,000,000)
$ 500,000
$ 500,000
$ 500,000
Project C
$
(80,000)
$ 1,040
$ 9,456
$ 11,405
$ 18,567
$ 47,453
$ 6,394
$ 45,727
$ 51,933
$ 85,625
Project D
$
(400,000)
$ 4,161...
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...
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...
Period 0 1 2 3 4 5 6 7 8 9 10 11 PBP NPV IRR...
Period
0
1
2
3
4
5
6
7
8
9
10
11
PBP
NPV
IRR
Project A
$
(1,000,000)
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 200,000
$ 400,000
Project B
$
(1,000,000)
$ 500,000
$ 500,000
$ 500,000
Project C
$
(80,000)
$ 1,040
$ 9,456
$ 11,405
$ 18,567
$ 47,453
$ 6,394
$ 45,727
$ 51,933
$ 85,625
Project D
$
(400,000)
$ 4,161...
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