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Leviafan [203]
2 years ago
13

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 distributi

on is approximately normal, what is the body mass index of a 9-year-old child at the 82nd percentile
Mathematics
1 answer:
stellarik [79]2 years ago
6 0

Answer:

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

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In parallelogram ABCD , diagonals AC⎯⎯⎯⎯⎯ and BD⎯⎯⎯⎯⎯ intersect at point E, AE=x2−16 , and CE=6x .
MAXImum [283]

Answer:

<h3>AC=96 units.</h3>

Step-by-step explanation:

We are given a parallelogram ABCD with diagonals AC and BD intersect at point E.

AE=x^2-16. , and CE=6x .

<em>Note: The diagonals of a parallelogram intersects at mid-point.</em>

Therefore, AE = EC.

Plugging expressions for AE and EC, we get

x^2-16=6x.

Subtracting 6x from both sides, we get

x^2-16-6x=6x-6x

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Factoriong quadratic by product sum rule.

We need to find the factors of -16 that add upto -6.

-16 has factors -8 and +2 that add upto -6.

Therefore, factor of x^2-6x-16=0 quadratic is (x-8)(x+2)=0

Setting each factor equal to 0 and solve for x.

x-8=0  => x=8

x+2=0  => x=-2.

We can't take x=-2 as it's a negative number.

Therefore, plugging x=8 in EC =6x, we get

EC = 6(8) = 48.

<h3>AC = AE + EC = 48+48 =96 units.</h3>
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2 years ago
True or false? If LM=MP, then M must be the midpoint of LP
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7 0
2 years ago
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A worker has a base pay of $20 per hour, gets $3 more per hour after 8 hours, and gets $4 more
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Answer:

177 $

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What is the answer? The glee club has 120 cupcakes to sell. they have decided to arrange the cupcakes in the shape of a rectangl
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</span>



8 0
2 years ago
A candy manufacturer makes two types of special candy, say A and B. Candy A consists of equal parts of dark chocolate and carame
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If we let x as candy A
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candy B should be = 360
6 0
2 years ago
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