The National Health Survey uses household interviews to describe the health-related habits of U. S. adults. From these interviews they estimate population parameters associated with behaviors such as alcohol consumption, cigarette smoking, and hours of sleep for all U. S. adults. In the 2005-2007 report, they estimated that 30% of all current smokers started smoking before the age of 16. We randomly select a sample of 100 smokers and calculate the proportion who started smoking before the age of 16. Required:
a. Based on your simulation, what is the average amount of error you expect to see in the sample proportions in this situation?
b. What is the margin of error based on 2 standard deviations?
c. Suppose we select a random sample of 100 smokers. We find that 20 started smoking before the age of 16 (20 out of 100 is 20%). Would a sample proportion of 20% be highly unlikely if the population proportion is 30%? How do you know?

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

i think 1: 2

step-by-step explanation:

step-by-step explanation:

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d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it