Based on data from a large study of healthy infants in six countries, the World Health Organization produced growth charts that
are part of every pediatrician’s toolkit for monitoring a child’s overall health. According to the WHO report, girls who are one month old have a mean head circumference of 36.6 centimeters with a standard deviation of 1.2 centimeters. As with most body measurements, head circumference has a normal probability distribution. Medscape defines microcephaly (small head syndrome) as a head circumference that is more than two standard deviations below the mean. What is the probability that a one-month old girl will be categorized as having microcephaly?
1 answer:
Answer:
1.1375%
Step-by-step explanation:
If the measurements follow a normal distribution, then
100%-95.45% = 4.55%
must be outside the interval
[mean-2 times standard deviation, mean+2 times standard deviation]
= [36.6-2(1.4), 36.6+2(1.4)]
(see picture attached)
Of this 4.55%, 2.275% is less than 36.6-2(1.4) (microcephaly) and 2.275% is greater than 36.6+2(1.4) (macrocephaly)
Supposing half of these children are girls, we have a probability of 1.1375%
So, the probability that a one-month old girl will be categorized as having microcephaly is 1.1375%, that is to say 11,375 one-month-old girls out of 1,000,000 will probably be categorized as having microcephaly.
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The area of the triangle is 6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
Now we just add them:
So, the area of that pentagon is 108m².
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6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
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So, the area of the given rhombus is 25cm².