Average = (2 + 6 + 7 + 10 + 10)/5 = 35/5 = 7
x - mean, square.
2 - 7 = -5, -5² = 25
<span>6 - 7 = -1, -1² = 1
</span>
<span>7 - 7 = 0, 0² = 0
</span>
<span>10 - 7 = 3, 3² = 9
</span>
<span>10 - 7 = 3, 3² = 9
</span>
Sum of square = 25 + 1 + 0 + 9 + 9 = 44
Variance = 44/5 = 8.8
Standard deviation = √variance = √8.8 ≈ 2.966
Answer:
p = 7.2
q = 6.4
Step-by-step explanation:
if the triangles are similar then the side lengths must be proportional :
AC/BA = CD/BE
9/5 = p/4 cross multiply expressions
5p = 36 divide both sides by 5
p = 7.2
same goes for q
9/5 = (q+8)/8 cross multiply expressions
72 = 5(q+8) divide both sides by 5
14.4 = q+8 subtract 8 from both sides
6.4 = q
The distance travelled before developing a flat tire illustrates multiplication of fractions
Horace rode a distance of
before having a flat tire
From the complete question, the length of the path is given as

The fraction of distance (d) traveled before having a flat tire is:

So, the distance (D) travelled is:

This gives

Rewrite as:


Hence, Horace rode a distance of 
Read more about multiplication of fractions at:
brainly.com/question/9281754
Answer:
The required co-ordinate is (-2, -5).
Step-by-step explanation:
For a given point, reflection of a point (x, y) across a horizontal line y = k, the reflected co-ordinates will be:
.
Here, (x, y) = (-2, 7) then reflection along the line y = 1, we get:

= (-2, -5)
The reflected point is (-2, -5).