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Harman [31]
2 years ago
12

An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being

equally likely. Of the k documents to review, two are named “Relaxation Through Mathematics” and “The Joy of Calculus.” Give an expression for each of the probabilities below as a function of k. Simplify your final expression as much as possible so that your answer does not include any expressions in the form a b . (a) What is the probability that “Relaxation Through Mathematics” is first to review?
Mathematics
1 answer:
ladessa [460]2 years ago
8 0

Using the probability concept, it is found that there is a \mathbf{\frac{1}{k}} probability that “Relaxation Through Mathematics” is first to review.

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

  • There is a total of k documents to be reviewed, hence T = k.
  • Of those documents, 1 is named “Relaxation Through Mathematics”, hence D = 1

The <em>probability </em>is:

p = \frac{D}{T} = \frac{1}{k}

A similar problem is given at brainly.com/question/24483829

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PLEASE HELP!!!!! 3, 8, 13, 18, 23, ....<br><br> The recursive formula for this sequence is:
rodikova [14]

Answer:

a₈ = 37

Step-by-step explanation:

The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .

The recursive formula for the sequence is: $ a_n = a_{n - 1} + 5 $

Here, $ a_n $ represents the $ n^{th} $ of the sequence.

And, $ a_{n - 1} $ represents the $ (n - 1)^{th} $ of the sequence.

'+5' denotes that '5' is added to the $ (n - 1)^{th} $ term to get the $ n^{th} $ term. In other words, the difference between two consecutive numbers in the sequence is 5.

Now, we are asked to find a₈ i.e., n =8.

Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.

So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.

⇒ a₆ = 23 + 5 = 28.

⇒ a₇ = 28 + 5 = 32.

⇒ a₈ = 32 + 5 = 37.

Therefore, the $ 8^{th} $ term of the sequence is 37.

8 0
3 years ago
Y=3x-1 substitute -3 for x
Brums [2.3K]
The answer should be -10
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4 years ago
Use a table to find two consecutive integers between which the solution lies.
jolli1 [7]

Answer:

  -5 and -4

Step-by-step explanation:

It is far easier just to solve the equation than to determine appropriate integer bounds on the solution.

In the attachment, we show a couple of initial trials at solutions. The nearness of y=5 to being correct suggests that the next higher integer may be helpful, too. It is.

We find -4 and -5 to bracket the solution.

_____

The actual solution is (3.4 -1.3)/-0.5 = -4.2.

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4 years ago
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