Shawna finds a study of American men that has an equation to predict weight (in pounds) from

Mathematics

1 answer:

scZoUnD [109]3 years ago

4 0

Answer:

-11.2 pounds

Step-by-step explanation:

It is given that,

Shawna finds a study of American men that has an equation to predict weight (in pounds) from height (in inches):

y = -210 + 5.6x

Height of Shawna's dad is 72 inches

Weight is 182 pounds

We need to find the residual of weight and height for Shawna's dad.

Predicted weight of 72 inches men,

y' = -210 + 5.6(72)

y' = 193.2 pounds

So, residual is :

Y = 182 - 193.2

Y = -11.2 pounds

So, the residual of weight and height for Shawna's dad is -11.2 pounds.

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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7 ft b

____ [38]

Given:

Dimensions are 7 ft by 5 ft by 8.5 ft

Contents weigh 0.21 pound

Contents worth $8.80 per pound

Find-: value of container contents.

Sol:

Volume is:

$\begin{gathered} Volume\text{ = }7\times5\times8.5 \\ \\ =297.5 \end{gathered}$

The formula of density is:

$\text{ Density =}\frac{\text{ Mass}}{\text{ Volume}}$

So,

$\begin{gathered} 0.21=\frac{\text{ Weight of contents in container}}{\text{ Volume of container}} \\ \\ 0.21=\frac{\text{ Weight}}{297.5} \\ \\ 0.21\times297.5=\text{ Weight} \\ \\ \text{ Weight of contents in container = }62.475\text{ Pound} \end{gathered}$

Now $8.80 per pound

For 62.475 pounds the value is: