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Contact [7]
3 years ago
12

Find the probability that a randomly selected person

Mathematics
1 answer:
Inga [223]3 years ago
7 0

Answer:

The probability that a randomly selected person  from this sample liked recreational reading or disliked recreational reading is 1.

Step-by-step explanation:

The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Mutually exclusive events are those events which cannot occur together. They are also known as disjoint events.

If events <em>A</em> and <em>B</em> are mutually exclusive then:

P(A\cap B)=0

The data provided is:

Opinion                      Like academic     Dislike academic      Total

                                          reading              reading

Liked recreational                   136                      40                      176

reading

Disliked recreational                16                        8                        24

reading

Total                                       152                      48                      200

Denote the events as follows:

<em>X</em> = a person liked recreational reading.

<em>Y</em> = a person disliked recreational reading.

Compute the probability that a randomly selected person  from this sample liked recreational reading or disliked recreational reading as follows:

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)

                =\frac{176}{200}+\frac{24}{200}-0\\\\=\frac{176+24}{200}\\\\=1

Thus, the probability that a randomly selected person  from this sample liked recreational reading or disliked recreational reading is 1.

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bixtya [17]

For this case we must algebraically rewrite the given expression. So:

x: It is the variable that represents an unknown number

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"6 less than double a number" is represented as: 2x-6

So, the final expression is: 2x-6

If we want to rewrite the expression in an equivalent way, we take common factor 2:

2 (x-3)

Asnwer:

2x-6

Equivalent expression: 2 (x-3)

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Step-by-step explanation:

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−7x−50≤−1 AND−6x+70&gt;−2
fgiga [73]

Answer:

-7\geq x and [-7,12) in interval notation.

Step-by-step explanation:

We have been given a compound inequality -7x-50\leq -1\text{ and }-6x+70>-2. We are supposed to find the solution of our given inequality.

First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.

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Dividing by negative number, flip the inequality sign:

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Upon merging both intervals, we will get:

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Therefore, the solution for our given inequality would be -7\geq x and [-7,12) in interval notation.

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