Answer:
D.]
Step-by-step explanation:
We will find the standard deviation and variance:
Variance= E
-[![[E(x)]^{2}](https://tex.z-dn.net/?f=%5BE%28x%29%5D%5E%7B2%7D)
E[x] = 3.462
E[{x}^2]= 31.86
Var(x)= 31.86-(3.462)^2 = 28.4
Standard deviation = 
= 
= 5.833 = 6(aproximately)
Therefore, the chances of winning are equal in each lane.
Answer:
Step-by-step explanation:
(1 , -2) x₁ =1 & y₁ = -2
(-3,10) x₂= -3 & y₂ = 10
First we need to find the slope.
![=\dfrac{10-[-2]}{-3-1}\\\\\\=\dfrac{10+2}{-4}\\\\\\=\dfrac{12}{-4}\\\\\\= - 3](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B10-%5B-2%5D%7D%7B-3-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B10%2B2%7D%7B-4%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B12%7D%7B-4%7D%5C%5C%5C%5C%5C%5C%3D%20-%203)
m = -3
Equation of the line: y = mx + b
y = -3x + b
To find the value of b, take one of the point and substitue in the above equaiton.
(1 , -2)
-2 = -3*1 + b
-2 = -3 + b
-2 + 3 = b
b = 1
Equation of the line:
y = -3x + 1
<h3>
Answer: Quadrilateral</h3>
======================================================
Explanation:
Of your original given list, let's write down the parallelograms. They are:
- Parallelogram
- Rectangle
- Rhombus
- Square
So we cross those off the list since we want a quadrilateral with no sides parallel. A parallelogram, by definition, is a quadrilateral with both pairs of opposite sides that are parallel.
We can also rule out the trapezoids because a trapezoid is a four sided figure (quadrilateral) where we have exactly 1 pair of parallel sides, while the other sides are not parallel.
Lastly, we can rule out the kite because any kite has perpendicular diagonals.
The only thing left is quadrilateral. In my opinion this answer should be more specific and say "quadrilateral that isn't a parallelogram, a trapezoid, or a kite", but I think I see what your teacher was going for here.
Answer:
scale factor = 
Step-by-step explanation:
Compare the ratio of corresponding sides, image to original.
scale factor = 
=
