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diamong [38]
2 years ago
11

Find the exponential generating function for the number of alphanumeric strings of length n n formed from the 26 26 uppercase le

tters of the English alphabet and 10 10 decimal digits if each vowel must appear at least one time; the letter T T must appear at least three times; the letter Z Z may appear at most three times; each even digit must appear an even number of times; and each odd digit must appear an odd number of times.

Mathematics
1 answer:
lana66690 [7]2 years ago
5 0

Answer:

the answer is contained in the attachment

Step-by-step explanation:

for complete explanation kindly check the attachment.

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Patrick and Brooklyn are making decisions about their bank accounts. Patrick wants to deposit $300 as a principle amount, with a
irina [24]
For this we will use formula that is letting us to input: interest rate, starting funds, how often intereset rate is implemented, period we are observing. Formula looks like this:

M = S(1+ \frac{i}{cp})^cp*y

where M is money, S is starting funds, "i" is interest rate, cp is compounding period and y is number of years. now we express and calculated for both of them and get

M = 318,479 for Patricks investement.

M = 331,482 for Brooklyn.

Which means Brooklyn's method will pay of more.
8 0
2 years ago
Read 2 more answers
Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above the ground. Find the velo
mr Goodwill [35]

Answer:

1350

Step-by-step explanation:

460 X 3

7 0
2 years ago
3.52 A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses.
Rufina [12.5K]

Answer:

a)  The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

b)  P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

c) P ( z = 0 ) = 0.6

  P ( z = 1 ) = 0.4

Step-by-step explanation:

Number of head on first toss = Z

Total Number of heads on 2 tosses = W

% of head occurring = 40%

% of tail occurring = 60%

P ( head ) = 2/5 ,    P( tail ) = 3/5

<u>a) Determine the joint probability distribution of W and Z </u>

P( W =0 |Z = 0 ) = 0.6         P( W = 0 | Z = 1 ) = 0

P( W = 1 | Z = 0 ) = 0.4        P( W = 1 | Z = 1 ) = 0.6

P( W = 1 | Z = 0 ) = 0           P( W = 2 | Z = 1 ) = 0.4

The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

<u>B) Marginal distribution of W</u>

P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

<u>C) Marginal distribution of Z ( pmf of Z )</u>

P ( z = 0 ) = 0.6

P ( z = 1 ) = 0.4

8 0
2 years ago
Use Gauss-Jordan elimination to solve the following linear system: 5x – 2y = –2 –x + 4y = 4 A. (–6,–5) B. (2,0) C. (0,1) D. (–1,
jasenka [17]
Im pretty sure its A.
6 0
2 years ago
Read 2 more answers
Tia Veronica Pam and Lily are sisters. Tia is eight years old and she’s two years older than Pam. Pam is five years younger than
Nastasia [14]

Answer:

Pam (6 years), Tia(8 years), Veronica(11 years) , Lily (15 years)

Step-by-step explanation:

Age of Tia = 8 years

______________________________________________

Given Tia is  2 years older than Pam

mathematically

age  of Pam + 2 years = age of Tia

age  of Pam + 2 years = 8 years

age  of Pam  = 8 years- 2 years = 6 years

______________________________________________

Given Pam is five years younger than Veronica

we can infer that age of veronica is age of Pam + 5 more years

mathematically

age  of Pam + 5 years = age of Veronica

6 years + 5 years = age of Veronica

age  of Veronica   = 11 years

______________________________________________

Given Veronica is four years younger than Lily

we can infer that age of Veronica is (age of Lily - 4  years)

mathematically

age of Veronica = age of lily - 4 years

11 years = age of lily - 4 years

age of lily = 11 years + 4 years = 15 years

age  of lily   = 15 years

______________________________________________

Arranging the list from youngest  to oldest we have

age  of Pam  = 6 years

Age of Tia = 8 years

age  of Veronica   = 11 years

age  of lily   = 15 years

Arranging sisters in order of youngest  to oldest

Pam, Tia, Veronica , Lily

3 0
2 years ago
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