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Andrews [41]
3 years ago
14

Answerr for money!!!

Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0

Answer:

Line s and Line t are parallel.

Step-by-step explanation:

Now, we know that angles 1 and 2 are congruent, because they have the same angle measures. Now, looking at their positions, we can see that they are alternate exterior angles.

By the converse of the Alternate Exterior Angle, (I do not remember exactly how the theorem went) if two lines are cut by a transversal and have congruent alternate exterior angles, then the lines are parallel. Using this theorem, we can find that lines s and t are parallel, because they are cut by a transversal and their alternate exterior angles are congruent.

I hope you find my answer and explanation to be helpful. Happy studying.

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It is estimated that, during the past year, 27% of all adults visited a therapist and 46% of all adults used non-prescription an
coldgirl [10]

Answer:

(a) The probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b) The probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

Step-by-step explanation:

Conditional probability of an event <em>X</em> given that another event <em>Y</em> has already occurred is:

P(X|Y)=\frac{P(X\cap Y)}{P(Y)}

Let <em>A</em> = an adult visited the therapist and <em>B</em> = an used non-prescription antidepressants.

Given:

P (A) = 0.27

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Compute the probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants as follows:

P(B|A)=\frac{P(A\cap B)}{P(A)} =\frac{0.21}{0.27} =0.77778\approx0.78

Thus, the probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b)

Compute the probability that a randomly selected adult visited a therapist during the past year, given that he or she used non-prescription antidepressants as follows:

P(A|B)=\frac{P(A\cap B)}{P(B)} =\frac{0.21}{0.46} =0.4565\approx0.46

Thus, the probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

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Answer:

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Step-by-step explanation:

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