Wow! Here you have 3 fractions with 3 different denominators that have nothing in common. In cases such as this one you find the LCD by mult. all of the given denominators together. Thus, in this case, your LCD is 4(5)(3) = 60.
To find the least common denominator of the three fractions, list out the multiples of each denominator:
Multiples of 3: {3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60} Multiples of 4: {4,8,12,16,20,24,28,32,36,40,44,50,55,60} Multiples of 5: {5,10,15,20,25,30,35,40,45,50,55,60}
The least common denominator of these three fractions is 60.
Given that an investigator reviewed the medical records of 200 children seen for care at Boston Medical Center in the past year who were between the ages 8 and 12 and identified 40 children with asthma. He also identified 40 children of the same ages who were free of asthma. Each child and their family were interviewed to assess whether there might be an association between certain environmental factors such as exposure to second-hand smoke.
The objective of this experiment is to test the causes of the disease asthma and to find the risk factors and environment causing this disease.
So this cannot come under randomized control nor case control.
Cross over study is to put to two different environments two groups and study. But here nothing is influenced actual environments are studied
The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square
<h3><u>Solution:</u></h3>
Given that side of square "a" = 7.2 cm
We have to find the perimeter of square
<em><u>The perimeter of square is given as:</u></em>
Perimeter of square = 4a
Where "a" represents the length of side of square
Substituting the given value a = 7.2 cm in above formula, we get perimeter of square
Perimeter of square = 4(7.2) = 28.8 cm
<em><u>Are the perimeter of the square and the length of its side directly proportional quantities?</u></em>
The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.
Two values are said to be in direct proportion when an increase in one results in an increase in the other.
So when length of sides increases, perimeter also increases
Hence perimeter and length of side of square are directly propotional quantities