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koban [17]
2 years ago
6

25. Anthropologists use a linear model that relates human femur (thighbone) length to height. The model allows an anthropologist

to determine the height of an individual when only a partial skeleton (including the femur) is found. Here we find the model by analyzing the data on femur length and height for the eight males given in the following table.
(c) An anthropologist finds a human femur of length 53 \mathrm{~cm} . How tall was the person?
Mathematics
1 answer:
Olegator [25]2 years ago
6 0

The height of the person when an anthropologist finds a human femur of length will be 183.94cm.

<h3>How to calculate the height?</h3>

In order to calculate the height, the expression to use will be:

h = 1.876l + 84.512

h = 1.876(53) + 84.512

h = 99.428 + 84.512

h = 183.94

Therefore, the height is 183.94cm.

Learn more about height on:

brainly.com/question/983412

#SPJ1

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Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for m
tatuchka [14]

Answer:

a)= 2

b) 6.324

c) P= 0.1217

Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 =  σ²/n1 +σ²/n2

so

σ_X`1- X`2 =√20 +20 = 6.324

if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2  and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217

8 0
3 years ago
Full explanation please<br> will mark brainlist
just olya [345]

Answer:

Hope the picture will help you.....

8 0
2 years ago
A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an are
LekaFEV [45]

Answer:

The total volume of the pieces of fruit in the can is 640\ cm^{3}

Step-by-step explanation:

step 1

Find the volume of the cylindrical can

The volume of the can  is equal to

V=BH

where

B is the area of the base of the can

H is the height of the can

we have

B=75\ cm^{2}

H=10\ cm

substitute

V=(75)(10)=750\ cm^{3}

step 2

Find the volume of the pieces of fruit in the can

The volume of the pieces of fruit in the can is equal to subtract  the volume of syrup from the volume of the can

750\ cm^{3}-110\ cm^{3}=640\ cm^{3}

8 0
3 years ago
Read 2 more answers
Given the relation x = y 4 − 9 y 2, identify the x- and y- axis intercepts.
Svetlanka [38]

The x-intercepts are (0,0)

The y-intercepts are (0,0),(0,3),(0,-3)

Explanation:

The relation is x=y^{4} -9y^{2}

To find the x-intercept, let us substitute y=0 in the equation x=y^{4} -9y^{2}, we get,

x=(0)^{4} -9(0)^{2} \\x=0

Thus, the x-intercepts are (0,0)

To find the y-intercept, let us substitute x=0 in the equation x=y^{4} -9y^{2}, we get,

0=y^{4}-9 y^{2}

let us switch sides and solving, we get,

\begin{aligned}y^{4}-9 y^{2} &=0 \\y^{2}\left(y^{2}-9\right) &=0 \\y^{2} &=0, y^{2}-9=0\end{aligned}

Taking square root,

y=0 and \begin{aligned}y^{2}-9 &=0 \\y^{2} &=9 \\y &=\pm 3\end{aligned}

Thus, the y-intercepts are (0,0),(0,3),(0,-3)

5 0
3 years ago
A hiker leaves camp and walks 6 miles east. Then he walks 18 miles south. How far from camp is the hiker? Distance in miles: Usi
Mrac [35]

Answer: 19 miles

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.  

Replacing with the values given:  

x^2 = 6^2 + 18^2  

x^2 = 36+324

x^2 = 360

x = √360

x = 18.97miles = 19 miles

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
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