The average body mass index of children 9 years old is 18.4 with a standard deviation of 4.5. If it is known that the distribution is approximately normal, what is the body mass index of a 9-year-old child at the 82nd percentile

Mass index for a 9-year-old child (at 82nd percentile ) = 22.51

Step-by-step explanation:

Given:

Mass index for a 9-year-old child  = 18.4

Standard deviation = 4.5

Find:

Mass index for a 9-year-old child (at 82nd percentile )

Computation:

At 82nd percentile,

p-value = 0.82

p-value from Z table score = 0.9153

Mass index for a 9-year-old child (at 82nd percentile ) = Mass index for a 9-year-old child + p-value from Z table score(Standard deviation)

Mass index for a 9-year-old child (at 82nd percentile ) = 18.4 + 0.9153(4.5)

Mass index for a 9-year-old child (at 82nd percentile ) = 18.4 + 4.11

Mass index for a 9-year-old child (at 82nd percentile ) = 22.51

true

step-by-step explanation:

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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