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2 years ago

What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?

Mathematics

1 answer:

irina1246 [14]2 years ago

6 0

Answer:

Step-by-step explanation:

Right rectangular prism

Solve for volume

V=whl

l Length

Width

Height

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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti

kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation $Y=mx +b$ , where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

$\sum_{i=1}^n (x_i -\bar x)^2 =98775$

$\sum_{i=1}^n (y_i -\bar y)^2 =19.4$

$\bar x =26.36$

$\bar y =0.5188$

n= 40 represent the sample size

$\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94$

The total sum of squares is given by this formula:

$SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4$

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

$m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}$

And if we replace the values given we have:

$m=\frac{796.94}{98775}=0.008068$

We have another useful equation in order to find the sum of squares for the regression, given by:

$SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430$

And we know this equivalence:

$SST= SSR+SSE$

And solving for the sum of squares for the error we have:

$SSE=SST-SSR=19.4-6.430=12.97$

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

6 0

3 years ago

What is the value of x? Round to the nearest tenth. Please Need Help Badly.

Maksim231197 [3]

Answer: IDK hope you get a good grade :0 SORRY

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How many ounces are in 31/2 pounds and 2 ounces

Cloud [144]

I believe it’s 250 ounces

5 0

3 years ago

Read 2 more answers

Lisa paid $47.82 for 16.9 gallons of gasoline. What was the cost per gallon, rounded to the nearest hundredth?

agasfer [191]

Divide total amount spent by total gallons bought:

47.82 / 16.9 = $2.83 per gallon

3 0

3 years ago

Building A has 7,500 ft.² of office space for 320 employees. Building B has 9500 ft.² of office space for 317 employees. Which b

Airida [17]

Answer:

The square feet of space per employee is more in building B .

Step-by-step explanation:

Given as :

The office space of building A = 7,500 ft²

The number of employee in building A = 320

Let The space in building A per square feet per employee = x ft²

So, x = $\dfrac{\textrm office space in building A}{\textrm number of employee in building A}$

I.e x = $\frac{7500}{320}$

∴ x = 23.43 per square feet per employee

<u>So, For building A 23.43 per square feet per employee </u>

Again ,

The office space of building B = 9,500 ft²

The number of employee in building B = 317

Let The space in building B per square feet per employee = y ft²

So, y = $\dfrac{\textrm office space in building B}{\textrm number of employee in building B}$

I.e y = $\frac{9500}{317}$

∴ y = 29.96 per square feet per employee

<u>So, For building B 29.96 per square feet per employee </u>

So , from calculation it is clear that the square feet of space per employee is more in building B .

Hence The square feet of space per employee is more in building B . Answer

7 0

2 years ago