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Volgvan
3 years ago
6

Simplify 12^0 times 12^6. Answer using an exponent

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer:

12^6

Step-by-step explanation:

12^0 x  12^6

12^0 = 1

So 12^0 x  12^6 = 12^6

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Suppose that you are given a bag containing n unbiased coins. You are told that n-1 of these coins are normal, with heads on one
gladu [14]

Answer:

The (conditional) probability that the coin you chose is the fake coin is 2/(1 + n)

Step-by-step explanation:

Given

Total unbiased coin = n

Normal coins =n - 1

Fake = 1

The (conditional) probability that the coin you chose is the fake coin is represented by

P(Fake | Head)

And it's calculated as follows;

P(Fake | Head) = P(Fake, Head) ÷ P(Head) ----- (1)

Where P(Fake, Head) = P(Fake) * P(Head | Fake)

P(Fake) = 1/n --- because only one is fake

P(Head | Fake) = n/n because all coins (including the fake) have head

So, P(Fake, Head) = P(Fake) * P(Head | Fake) becomes

P(Fake, Head) = 1/n * n/n

P(Fake, Head) = 1/n

P(Head) is calculated by

P(Fake) * P(Head | Fake) + P(Normal) * P(Head | Normal)

P(Fake) * P(Head | Fake) = P(Fake, Head) = 1/n (as calculated above)

P(Normal) * P(Head | Normal) = ½ * (n - 1)/n ----- considering that the coin also has a tail with equal probability as that of the head.

Going back to (1)

P(Fake | Head) = P(Fake, Head) ÷ P(Head) becomes

P(Fake | Head) = (1/n) ÷ ((1/n) + (½(n-1)/n))

= (1/n) ÷ ((1/n) + (½(n-1)/n))

= (1/n) ÷ (1/n + (n - 1)/2n)

= (1/n) ÷ (2 + n - 1)/(2n)

= (1/n) ÷ (1 + n)/(2n)

= (1/n) * (2n)/(1 + n)

= 2/(1 + n)

Hence, the (conditional) probability that the coin you chose is the fake coin is 2/(1 + n)

5 0
3 years ago
HELP PLEASE
DerKrebs [107]
3 terms
5x, 2x^2, -8

2nd degree
highest exponent is 2


2nd degree polynomial (3 terms)
6 0
3 years ago
Read 2 more answers
A ball is thrown into the air with an upward velocity of 24 ft/s. Its height h in feet after t seconds is given by the function
Natalija [7]
<span>D. 0.75 s; 16 ft is the best choice

</span>
6 0
3 years ago
Read 2 more answers
How to find the smallest integer k such that 60k is a perfect square
suter [353]

9514 1404 393

Answer:

  k = 15

Step-by-step explanation:

Look for the missing factors that make all of the factors of 60k be squares.

  60 = 2² × 3 × 5

The factors 3 and 5 each have an odd exponent (1), so those two factors must be part of k.

  60k = 2² × 3 × 5 × k

is a perfect square when ...

  3 × 5 = k = 15

For k = 15, 60k = 900 = 30²

6 0
3 years ago
Determine whether each sample may be biased. Explain.
Naya [18.7K]

Answer:

not number 5 is is biased.

Number 6 is not biased.

Number 7 is not biased.

Step-by-step explanation:

Biased means of an estimator is the difference between this estimator's expected value and the true value of the parameter being estimated.

3 0
3 years ago
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