You are designing a study to look at birth outcomes of teenage pregnancies. The first variable you want to evaluate is birth weight. You want to know how many teenage mothers you need to sample in order to accurately estimate the confidence interval for the mean birth weight of babies born to mothers age 15 and under. Your confidence interval is 95% and your margin of error cannot exceed 100 g. Based on information you have obtained from the State Office of Vital Records you have an estimated mean birth weight of 3300 g with a standard deviation of 270 g. Conduct a sample size calculation. What is the smallest number of teenage mothers you will need to make an accurate estimate

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.