The two expressions are not equal
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:
x = 55°
y = 70°
z = 125°
Step-by-step explanation:
Based on the Isosceles triangle theorem, since two sides of the triangle are congruent, therefore, the angles opposite to each of the equal sides are congruent.
Thus:
x = 180° - 125° (angles on a straight line/linear pair)
x = 55°
If x = 55°, the other base angle will also be 55°.
Therefore,
y = 180° - (55° + 55°) (sum of ∆)
y = 70°.
z = x + y (exterior angle of a ∆ theorem)
z = 55° + 70° (substitution)
z = 125°
hope this helps! feel free to clarify if unsure