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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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What is the distance between -45 and 65
tatyana61 [14]

Answer:

110

Step-by-step explanation:

What is the Difference between -45 and +65? In other words, what is the Difference between negative 45 and positive 65?

To solve this math problem, start by picturing a horizontal number line that starts with negative infinity on the left and ends with positive infinity on the right:

∞ ..... -3, -2, -1, 0, +1, +2, +3, .... ∞

The Difference between -45 and +65 is the distance between -45 and +65 on our number line above. Thus, the Difference between two numbers will always be a positive number.

It is a two-step process to calculate the Difference between -45 and +65. Step 1 is to subtract +65 from -45, and Step 2 is to find the absolute value of the Step 1 answer. Here is the math to illustrate better:

(-45) - (+65) = -110

|-110| = 110

That's it! The Difference between -45 and +65 is as follows:

110

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3 years ago
Michael can spend a maximum of $234 on office supplies. Each ream of paper costs $6. Each ink cartridge costs $18. Which of the
Mashutka [201]
There is no graph in your question. If p is number of reams of paper, and c is number of ink cartridges, then

3p + c = 234, wich p and c natural numbers (including 0)

This means that 13 ink cartridges and 0 paper will satisfy the end amount, but also 0 ink cartridges and 39 paper. There are 14 combinations possible.


5 0
3 years ago
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JulsSmile [24]

Answer:

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6 0
3 years ago
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castortr0y [4]

Step-by-step explanation: To solve this absolute value inequality,

our goal is to get the absolute value by itself on one side of the inequality.

So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.

Now divide both sides by 3 and we have |x + 5| ≤ 3.

Now the the absolute value is isolated, we can split this up.

The first inequality will look exactly like the one

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For the second one, we flip the sign and change the 3 to a negative.

So we have x + 5 ≤ 3 or x + 5 ≥ -3.

Solving each inequality from here, we have x ≤ -2 or x ≥ -8.

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3 years ago
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Answer:

60 degrees

Step-by-step explanation:

100+120+80+x=360

300+x=360

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8 0
3 years ago
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