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
Answer:
I apologize if this was poorly explained. The explanation for each is below the angle.
Since these triangles are in a rectangle, The top and bottom triangles are congruent, and the left and right triangles are congruent. All 4 triangles are also Isosceles. (Two equal sides/angles)
m<1= 59
(Left and right triangles are congruent)
m<2=31
(Top and bottom triangles are congruent)
m<3= 59
(Directly across from the other 59)
m<4=31
(Each of the rectangles corner angles totals to 90 degrees, therefore making this angle 31 degrees.)
m<5=31
(Since the triangles are isosceles, this angle is also 31)
m<6= 59
(Since m<5 is 31, this angle is 59.)
m<7=118
{(Two other angles in the triangle) 31+31= 62 180-62= 118)}
m<8=62
{(Two other angles in the triangle)59+59= 118. 180-118= 62}
m<9=62
(This angle and m<8 are congruent.)
m<10=118
(This angle and m<7 are congruent.)
m<11=31
(Same reason as m<4)
I hope this helps!
Negative four times 3p is -12p so then -12p-7 <5. Then add 7 to five and get -12p<12. Divide by -12, change direction of symbol because you are dividing by a negative and get p>-1.
To solve this problem, we will use the formula for permutation. A permutation is where the order of the things in the set matter.
Solution:
₁₂P₅ =

= 12 x 11 x 10 x 9 x 8 = 96,040 different ways that can be made.
So all angles within a triangle should add up to 180, 102+31= 133 then subtract. 180-133=47
X-47