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chubhunter [2.5K]
4 years ago
7

A newborn weighs 3,874 grams at birth and 3,465 grams just prior to discharge from the hospital 2 days later. Knowing that newbo

rns may lose 5-10% of their body weight in the first few days of life, what is the newborns current percent of weight loss?
Mathematics
1 answer:
BlackZzzverrR [31]4 years ago
4 0

Answer:

10.55%

Step-by-step explanation:

Given:

Initial weight of the new born baby = 3,874 grams

final weight of the baby = 3,465 grams

Now,

the current percentage of the weight loss will be calculated as:

Weight loss percentage = \frac{\textup{Loss in the weight}}{\textup{Initial weight of the baby}}\times100%

on substituting the respective values, we get

Weight loss percentage = \frac{(3874-3465)}{3874}\times100%

or

Weight loss percentage = 10.55%

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\bf -\cfrac{1}{2}\times \cfrac{3}{4}\implies \cfrac{-1\times 3}{2\times 4}\implies \cfrac{-3}{8}

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The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 320 grams and a standard deviation of 45 gr
irina1246 [14]

Answer:

a) 99.7%

b) 68%

c) 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.

d) 81.5% of organs weighs between 290 grams and 365 grams.

Step-by-step explanation:

A) 99.7% of organs will be between 3 standard deviation from the mean.

320 - 3 \times 45 = 185

320 + 3 \times 45 = 455

So 99.7% of organs will be between 185 and 455.

B) 275 grams and 365 grams are 1 standard deviation from the mean.

From empirical rule about 68% data falls within 1 standard deviation from the mean.

So 68% of organs weighs btwn 275 grams and 365 grams.

C) Since 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.

D) 230 is 2 standard deviation below the mean and 365 is one standard deviation above the mean.

According to the empirical rule, 95% of the observation lies within 2 standard deviations of the mean. Therefore 5% lies outside 2 standard deviations of the mean.

So 95%/2 = 47.5% of organs weighs between the mean and 230 grams.

According to the empirical rule about 68% data falls within one standard deviation from the mean.

so, 68%/2 = 34% of organs weighs between the mean and 365 grams.

So total = 47.5% + 34% = 81.5% of organs weighs between 290 grams and 365 grams.

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4 years ago
Carly is constructing the inscribed circle for △MNP . She has already used her compass and straightedge to complete the part of
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Place the point of the compass on point J and draw an arc in the interior of the triangle.
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SAS is the right answer!

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3 years ago
Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa
Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) :x^2+y^2+4z^2=36

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

\nabla f(x,y,z)=\\\nabla f(x,y,z)=

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)

So, 2x=-4\lambda

\Rightarrow x=-2\lambda

2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda

Substitute the value of x , y and z in the ellipsoid equation

(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2

With \lambda = 2

x=-2(2)=-4

y=2

z=2

With\lambda =- 2

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

7 0
4 years ago
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