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IRINA_888 [86]
3 years ago
9

The square represents a scale model that was created by using a factor of 4. A square with sides lengths of 8 feet. Which is tru

e of the measures of the sides of the original square? Each side of the original square is One-fourth the length of each side of the scale model. Each side of the original square is 4 times the length of each side of the scale model. Each side of the original square is the same length as each side of the scale model. Each side of the original square is 4 feet less than the scale model.
Mathematics
2 answers:
natulia [17]3 years ago
4 0

Answer:

A

Step-by-step explanation:

I did the test

alexandr402 [8]3 years ago
3 0

The answer should be 1/4

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Find the average rate of change for the given function from x = 1 to x = 2
mestny [16]

Answer:

2

Step-by-step explanation:

Average Rate of Change: \frac{f(b)-f(a)}{b-a}

Step 1: Define variables

f(b) = 5

f(a) = 3

b = 2

a = 1

Step 2: Plug into formula

(5 - 3)/(2 - 1)

2/1

2

3 0
4 years ago
The sum options are 3240, 2700, 360, 156
Sever21 [200]

Answer:

3240 degrees.

Step-by-step explanation:

Here (as you said), this 20-gon is convex. In the image below, that is #1. One interior angle is 162 degrees. Simply multiply that by 20 to get 3240 degrees as the sum.

8 0
3 years ago
"Select the equation of the least squares line for the data: (34.0, 1.30), (32.5, 3.25), (35.0, .65), (31.0, 6.50), (30.0, 5.85)
yulyashka [42]

Answer:

y=-1.055 x +37.643

And the best option would be:

a. ŷ= 37.643-1.0543x

Step-by-step explanation:

We assume that the data is this one:

x: 34.0, 32.5, 35.0, 31.0, 30.0, 27.5, 29.0

y: 1.30, 3.25, 0.65, 6.50, 5.85, 8.45, 6.50

Find the least-squares line appropriate for this data.  

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 34.0+ 32.5+ 35.0+ 31.0+ 30.0+ 27.5+ 29.0
=219

\sum_{i=1}^n y_i =1.3+3.25+0.65+6.5+5.85+8.45+6.5=32.5

\sum_{i=1}^n x^2_i = 34.0^2+ 32.5^2+ 35.0^2+ 31.0^2+ 30.0^2+ 27.5^2+ 29.0^2
=6895.5

\sum_{i=1}^n y^2_i =1.3^2+3.25^2+0.65^2+6.5^2+5.85^2+8.45^2+6.5^2=202.8

\sum_{i=1}^n x_i y_i =34*1.3 + 32.5*3.25+ 35*0.65+ 31*6.5+30*5.585 +27.5*8.45 +29*6.5=970.45

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6895.5-\frac{219^2}{7}=43.929

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=970.45-\frac{219*32.5}{7}=-46.336

And the slope would be:

m=-\frac{46.336}{43.929}=-1.055

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{219}{7}=31.286

\bar y= \frac{\sum y_i}{n}=\frac{32.5}{7}=4.643

And we can find the intercept using this:

b=\bar y -m \bar x=4.643-(-1.055*31.286)=37.643

So the line would be given by:

y=-1.055 x +37.643

And the best option would be:

a. ŷ= 37.643-1.0543x

5 0
4 years ago
A florist makes bouquets with roses and tulips. The table shows the ratio of the number of roses to the number of tulips the flo
horrorfan [7]
The answer is C because the tulips go up by 6 everytime the roses go up by 4
7 0
3 years ago
Read 2 more answers
The jars of paint in the art room have different amounts of paint. The green paint jar is 4/8 full. The purple paint jar is 4/6f
natulia [17]
4/8 is less full because it's only half compared to 4/6 which is 1.5
7 0
4 years ago
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