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Yuri [45]
3 years ago
7

A study was conducted on the effects of divorce. Researchers gathered data from a random sample of 5,125 adults and measured qui

te a few variables, in addition to the explanatory variable of divorce and the response variable of shorter life span. According to a newspaper article summarizing the study, those who divorced were more likely to be less physically active, at an unhealthy weight, and smokers. Those who were married were about 15% more likely to be deceased. What conclusion can we draw from this study? Explain. (5 points) We can infer a cause-and-effect relationship because the sample was selected randomly. We cannot infer a cause-and-effect relationship because we do not have a control group. We can infer a cause-and-effect relationship because multiple variables were included. We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly. We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

We can infer a cause-and-effect relationship because multiple variables were included.

Step-by-step explanation:

The multiple attributes for the divorced ones are

1) less physically active

2) an unhealthy weight,

3) smokers.

The attribute showing the % of the married is

1) death

So when we compare the two groups married and divorced we see different variables are involved in evaluating the percentage.

This shows a cause and effect involving multiple variables.

In cause and effect one variable is dependent and the other is independent.

The cause is the independent variable and effect is the dependent variable.

CAUSE                          EFFECT

Married                         Death

Divorced                     1) less physically active

                                  2) an unhealthy weight,

                                     3) smokers.

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If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f
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The quadratic function given by:


f(x)=a(x-h)^2+k, \ \ \ a\neq 0


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For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)


By knowing this things, we can solve our problem as follows:


FIRST.

  • Translating <em>11 units to the left:</em>

g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2


  • Then translating<em> 5 units down:</em>

g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5


Since the new function is fatter, the factor we need to multiply the term (x+11)^2 <em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.


<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>


SECOND.

  • Translating <em>8 units to the right:</em>

g(x)=f(x-8) \\ \\ \therefore g(x)=(x-8)^2


  • Then translating<em> 1 unit down:</em>

g(x)=f(x)-c \\ \\ \therefore g(x)=(x-8)^2-1


As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.


<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>

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Dima020 [189]

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Step-by-step explanation:

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8 0
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