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NNADVOKAT [17]
3 years ago
9

A + 1/a= p find a^3 + 1/a^3(1) p^3 + 3p(2) 3p(3) p^3 - 3p​

Mathematics
1 answer:
REY [17]3 years ago
4 0

9514 1404 393

Answer:

  (3)  p^3 -3p

Step-by-step explanation:

  (a +1/a) = p . . . . . . . given

  (a +1/a)^3 = p^3 . . . . . . . . cube both sides

  a^3 +3a^2(1/a) +3a(1/a)^2 +(1/a)^3 = p^3 . . . . . . expand

  (a^3 +1/a^3) +3(a +1/a) = p^3 . . . . . . . . . . simplify, group

  (a^3 +1/a^3) +3p = p^3 . . . . . . . . . . substitute p for a+1/a

  (a^3 +1/a^3) = p^3 -3p . . . . . . subtract 3p from both sides

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3 years ago
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from
MatroZZZ [7]

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Step-by-step explanation:

At the end of 1 years, the amount in the account will be:

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4 0
3 years ago
​If Alfie tosses the paper cup more times, what is the expected ​number of times that the cup will land on its side?
IRINA_888 [86]

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

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If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

 

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

Right = 60

Upside\ down = 53

Side = 37

Required

First, we calculate the probability of landing on side

P(Side) = \frac{n(Side)}{Total}

P(Side) = \frac{37}{150}

P(Side) = 0.247

Next, we calculate the expected value; E(x) using:

E(x) = n * P(x)

When tossed 100  more times:

n = 100 and P(x) = P(Side) = 0.247

So:

E(x) = 100 * 0.247

E(x) = 24.7

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<em>Hence, it is expected that it will land on its side 25 times</em>

3 0
3 years ago
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Answer:

1) y=18

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Step-by-step explanation:

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Solnce55 [7]

Answer:

6.2300, 6.2030, 6.1031, 6.1000

Step-by-step explanation:

8 0
3 years ago
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