Answer:
to find theoretical probability, devide the favorable outcomes by the total possible outcomes
to find experimental probability, for example on a coin, devide how many times it landed on heads by how many times you flipped it
i hope this helps :)
Answer:
z= 104
y=76
x=76
Step-by-step explanation:
z+76= 180. solve for z
z=x
y=76
Consider point P(x,y) such that P, X and Y are collinear,
As vectors
XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)
Similarly,
PY = (6-x, -3-y)
But XP= 2^PY
[x+3, y-3] = [2(6-x), 2(-3-y)]
Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:
x+3 = 12 - 2x
x = 3
y-3 = -6-2y
y = -1
Therefore, P(3,-1)
Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° = 
cos(50)° = 
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° = 
sin(23)° = 
a = 15sin(23)°
a = 5.86
