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topjm [15]
3 years ago
9

Calculate the number of vertices in a full 5-ary tree with 35 internal vertices.

Mathematics
1 answer:
Softa [21]3 years ago
4 0

Answer:

Step-by-step explanation:

With 35 internal nodes, there are 5*35=175 vertices out of which are 175-35=140 leaves.

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Writey=1/8 x+7 in standard form using integers.
sineoko [7]

Answer:

x - 8y = - 56

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = \frac{1}{8} x + 7

Multiply through by 8 to clear the fraction

8y = x + 56 ( subtract 8y from both sides )

0 = x - 8y + 56 ( subtract 56 from both sides )

- 56 = x - 8y, that is

x - 8y = - 56 ← in standard form

5 0
3 years ago
A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 2
Shalnov [3]

Answer:

The expected winnings for a person buying 1 ticket is -0.2.                  

Step-by-step explanation:

Given : A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 25 cents each, find the expected winnings for a person buying 1 ticket.

To find : What are the expected winnings?    

Solution :

There are one first prize, 2 second prize and 20 third prizes.

Probability of getting first prize is \frac{1}{20000}

Probability of getting second prize is \frac{2}{20000}

Probability of getting third prize is \frac{20}{20000}

A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each.

So, The value of prizes is

\frac{1}{20000}\times 1000+\frac{2}{20000}\times 300+\frac{20}{20000}\times 10

If 20000 tickets are sold at 25 cents each i.e. $0.25.

Remaining tickets = 20000-1-2-20=19977

Probability of getting remaining tickets is \frac{19977}{20000}

The expected value is

E=\frac{1}{20000}\times 1000+\frac{2}{20000}\times 300+\frac{20}{20000}\times 10-\frac{19977}{20000}\times 0.25

E=\frac{1000+600+200-4994.25}{20000}

E=\frac{-3194.25}{20000}

E=-0.159

Therefore, The expected winnings for a person buying 1 ticket is -0.2.

3 0
3 years ago
HELP ITS MY HW PLZ o0o
murzikaleks [220]
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7 0
3 years ago
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If f(x)= 1/x and g(x) = 3x+2 find (g • g)(-4)
OleMash [197]

Answer:

-4g2

Step-by-step explanation:

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3 years ago
Find the values of x and y.
gulaghasi [49]

Answer:

y=180-63-63/2=27degree...in triangle mln

x=180-27-63=90....in triangle mon

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