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Ann [662]
3 years ago
11

25. Researchers are using a new fitness watch with heart monitoring capabilities to study the human heart. In particular, they a

re examining the relationship between the presence of arrhythmias, or irregular heartbeats, and stress. A random sample of 100 women between the ages of 30 and 50 were selected for a study. At the beginning of the study, each woman completed a questionnaire that classified them as having high or low stress.
Each woman was also given a fitness watch to wear for 1 week. The watches revealed to the researchers whether each woman had a heart arrhythmia. The following table gives the number of women that fall into each category.



Based on these data, which of the following conclusions is most appropriate?

(A) There is evidence that high stress causes heart arrhythmias, and the conclusion can be generalized to all women aged 30 to 50.
(B) There is evidence that high stress causes heart arrhythmias, and the conclusion can be generalized to all women aged 30 to 50 who wear a fitness watch.
(C) There is evidence that high stress causes heart arrhythmias, and the conclusion can be generalized to all women similar to those in the study.
(D) Although cause-and-effect cannot be established, there is an association between stress and the presence of heart arrhythmias for the population of all women aged 30 to 50.
(E) Although cause-and-effect cannot be established, there is an association between stress and the presence of heart arrhythmias for the population of all women.

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

(D) Although cause-and-effect cannot be established, there is an association between stress and the presence of heart arrhythmias for the population of all women aged 30 to 50.

Step-by-step explanation:

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Answer:

(a) B

(b) $2

Step-by-step explanation:

(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:

12t + 8p = 184

9t + 6p = 138

We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:

3 * (12t + 8p = 184)

4 * (9t + 6p = 138)

We get:

36t + 24p = 552

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    36t + 24p = 552

________________

       0 = 0

Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.

(b) Our equation from this, if we still use t and p, is:

5t + 4p = 82

Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:

5t + 4p = 82

9t + 6p = 138

To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:

6 * (5t + 4p = 82)

4 * (9t + 6p = 138)

We get:

30t + 24p = 492

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    30t + 24p = 492

________________

      6t + 0p = 60

So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:

5t + 4p = 82

5 * 10 + 4p = 82

50 + 4p = 82

4p = 32

p = 32/4 = $8

So the ticket costs 10 - 8 = $2 more dollars than the popcorn.

5 0
3 years ago
Read 2 more answers
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