P and q are complex numbers such that |p|=7√2 and |p+q|=12√3 .

On what interval must |q| fall on?

A [7√6/24,∞)

B [12√3−7√2,∞)

C [12√3+7√2,∞)

D [4√6/7,∞)

Scores on the cognitive scale of the bayley-scales of infant and toddler development range from 1 to 19, with a standard deviation of 3. calculate the margin of error in estimating the true mean cognitive scale score, with 99% confidence, if there are 12 infants and toddlers in a sample.