Answer:
12083.929
Step-by-step explanation:
First step: find the mean of the data.
mean = <u>3</u><u>+</u><u>3</u><u>3</u><u>+</u><u>3</u><u>0</u><u>3</u><u>+</u><u>2</u><u>3</u><u>3</u><u>+</u><u>3</u><u>+</u><u>7</u><u>3</u><u>+</u><u>8</u><u>3</u><u>+</u><u>6</u><u>3</u>
8
= <u>7</u><u>9</u><u>4</u>
8
= 99.25
Second step: Now we calculate each dog's difference from the Mean.
Example : 3–99.25=96.25
Answer: (-96.25)+(-66.25)+203.75+133.75+(-96.25)+(-26.25)+(-16.25)+(36.25)
Third step: To calculate the Variance, take each difference, square it, and then average the result.
s² = <u>(-96.25)</u><u>²</u><u>+(-66.25)</u><u>²</u><u>+203.75</u><u>²</u><u>+133.75</u><u>²</u><u>+(-96.25)</u><u>²</u><u>+(-26.25)</u><u>²</u><u>+(-16.25)</u><u>²</u><u>+(36.25)</u><u>²</u>
8–1
=<u> </u><u>9</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>4</u><u>3</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>4</u><u>1</u><u>5</u><u>1</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>1</u><u>7</u><u>8</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>9</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>6</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>1</u><u>3</u><u>1</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u>
7
=<u> </u><u>8</u><u>4</u><u>5</u><u>8</u><u>7</u><u>.</u><u>5</u>
7
= 12083.929
Variance Formula:
<u> </u><u> </u>
Variance = s² =<u>Σ(</u><u>x</u><u>i−</u><u> </u><u>x</u><u> </u><u>)</u><u>²</u>
n−1
A)
Let's pick point (4,4) and point (2,2). If you divide the new point by the old point you will see that both the x-value and the y-value were multiplied by 2 to gt the new x-value and new y- value. So the scale factor is 2.
The perimeter of the first square can be found by subtracting the x-values from two points to get the length of one side and then multiply the result by 4 to get the perimeter of the whole square.
2-(-2)=4
The length of one side of the first square is 4. (I just subtracted the x-values.)
4 times 4 = 16.
The perimeter of the first square is 16.
Similarly, 4-(-4)=8 and 8 times 4 = 32.
The perimeter of the second square is 32.
b)
Let's pick point (6,6) and point (3,3). If you divide the new point by the old point you will see that both the x-value and the y-value were multiplied by 2 to gt the new x-value and new y- value. So the scale factor is 2.
The perimeter of the first square can be found by subtracting the x-values from two points to get the length of one side and then multiply the result by 4 to get the perimeter of the whole square.
3-(-3)=6
6 times 4 = 24.
The perimeter of the first square is 24.
Similarly, 6-(-6)=12 and 12 times 4 =48.
The perimeter of the second square is 48.
c)
If a figure is dilated to a scale factor of 2 then the perimeter of the figure will also be doubled.
28/7 + 6/3 first divide 28/7
4 + 6/3 the divide 6/3
4 + 3 and then add them up which is 7
7 divide 1/2
Which is 14
HAVE A GREAT DAY:) !