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FromTheMoon [43]
3 years ago
13

You have a textbook for each of the following subjects: Spanish, English, Chemistry, Geometry, History, and Psychology. If you c

hoose 4 of these at random to arrange on a shelf, what is the probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left?
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

The probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left is 1/30

<h3>How to determine the probability?</h3>

The distribution of the books is:

Spanish, English, Chemistry, Geometry, History, and Psychology

The probability of choosing a Geometry book is:

P(G) = 1/6

Now, there are 5 books left.

The probability of choosing a Chemistry book is:

P(C) = 1/5

The required probability is:

P = 1/6 * 1/5

Evaluate

P = 1/30

Hence, the probability is 1/30

Read more about probability at:

brainly.com/question/251701

#SPJ2

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Which function has an inverse that is also a function? {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} {(–4, 6), (–2, 2), (–1, 6)
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Answer:

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Step-by-step explanation:

  • <em>Info to consider:</em>
  • <em>Inverse of a function: (x, y) → (y, x)</em>
  • <em>Definition of a function: Every input will have exactly one output. </em>

<u>Let's analyze the functions:</u>

1. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

  • It has unique y- values, its inverse won't have repeat x-values, so the inverse is also a function

2. {(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}

  • It has repeat y values of 6 and 2. Its inverse it is going to cause repeat input numbers with different output. This won't be a function

3. {(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}

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4. {(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

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So the first set of data is the only correct one

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