Michael is taking a quiz in his music history class. The teacher writes the names of 666 songs on the board, and then plays 444 songs out of the 666, one after the other in a random sequence. Michael then needs to identify each of the songs in the sequence they were played. Suppose that michael hasn't studied and is randomly guessing the songs. What is the probability that michael correctly identifies all 444 songs in the correct order?.

Answers 3

Answer:

1/360

Explanation:

The probability that Michael correctly identifies all 4 songs in the correct order is 0.27%.

Since Michael is taking a quiz in his music history class, and the teacher writes the names of 6 songs on the board, and then plays 4 songs out of the 6, one after the other in a random sequence, and Michael then needs to identify each of the songs in the sequence they were played, supposing that Michael hasn't studied and is randomly guessing the songs, to determine what is the probability that Michael correctly identifies all 4 songs in the correct order the following calculation must be performed:

  • 1/6 x 1/5 x 1/4 x 1/3 = X
  • 0.166 x 0.2 x 0.25 x 0.333 = X
  • 0.0027 = X
  • 0.27% = X

Therefore, the probability that Michael correctly identifies all 4 songs in the correct order is 0.27%.

AI generated Answer

Answer: Very close to 0 or 0%. Explanation: Michael would need to guess correctly the correct song out of the 666 options for every song played. Thus, the probability of him guessing correctly any one song is 1/666, or 0.15%. The probability of him guessing all 444 songs correctly in the correct order is the probability of him guessing all 444 songs correctly multiplied together which is (1/666)^444 or approximately 0.00000000059%, which is very close to 0.

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How can you determine whether a linear binomial is a factor of a polynomial without using the remainder theorem?

A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial

How to determine the factor?Assume a polynomial function is

P(x) = (x - 3)(x + 1)(x -2)

And a linear binomial is:

x - 3 = 0

We start by calculating the value of x in x - 3 = 0

x = 3

Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)

P(3) = (3 - 3)(3 + 1)(3 -2)

Evaluate

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Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)

Whilst you have been away on annual leave the Principal of the agency has exchanged contracts to personally purchase one of your listings. You do not believe that your vendor is aware of the fact that it is your employer as it has been purchased in a company name and there is no declaration on the file or on the copy of the contract in the file. A) What skills will you need to employ? B) What do you do and explain why quoting any relevant bodies, legislation, forms and penalties?

(A) The skills required to deal with the issue is to computer and research skills and communication skills.

(B) One should resolve the complaints by using the Complaint Register.

What is the meaning of contract?Contract refers to the agreement between the two people or more under the eyes of the law. The agreement made should have the legal consideration and should be enforceable by the laws.

The skills needed to be employed are as follows:-

  1. Knowledge of computers and research techniques to locate relevant legislation for your problems;
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This is something the principle should think about:

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write twenty eight million, seven hundred and five thousand, one hundred and eighty five as a number?​

Answer:

28,705,185

Step-by-step explanation:

The answer is 28,705,185

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    echo

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The sum of an arithmetic sequence can be found by the formula Sn = n(2a+ (n - 1)d). Use the formula to find the sum of first 10 terms of the sequence{-3.2, 7, 12, 17. 22...)​

Step-by-step explanation:

Hey there!

The given series: -3,2,7,12,17,22.....

Common ratio (d) = t2-t1

= 2+3

= 5

No of terms (n) = 10

First term (a) = -3

Now;

sn = \frac{n}{2} (2a + (n - 1)d)

Keeping all values we get;

s10 = \frac{10}{2} (2 \times - 3 + (10 - 1)5)

Simplify it.

s10 = 5( - 6 + 45)

or, S10 = 195.

Therefore, S10 = 195.

Hope it helps!

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