A study was conducted on the effects of long-term marriage (more than 10 years). Researchers gathered data from a random sample of 4,563 adults and measured quite a few variables, in addition to the explanatory variable of marriage and the response variable of longer life span. According to a newspaper article summarizing the study, those in long-term marriages were more likely to be more physically active, at a healthy weight, and nonsmokers. Those who were not married were about 20% more likely to be deceased. What conclusion can we draw from this study? Explain. A) We can infer a cause-and-effect relationship because the sample was selected randomly.
B) We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
C) We cannot infer a cause-and-effect relationship because we do not have a control group.
D)We can infer a cause-and-effect relationship because multiple variables were included.
E)We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly.

answer: sensy

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

answer: your answer is a