Answer:
Step-by-step explanation:
The team draws with a probability of 1 = (0.5 + 0.2) = 0.3
If the team does not win then it loses or draws.
Loosing = 0.2
Draw := 0.3
P(not win) = 0.2 + 0.3 = 0.5
======================
Not lose means wins or draws.
P(not lose) = 0.5 + 0.3 = 0.8
======================
Not Draw means wins or loses
P(not draw) = 0.5 + 0.2 = 0.7
Of course all of these could be done more directly.
P(not win)= (1 - win) = 1- 0.5 = 0.5
P(not lose) = ( 1 - lose) = 1 - 0.2 = 0.8
P(not draw) = (1 - 0.3) = 0.7
Answer:
The angle Rick must kick the ball to score is an angle between the lines BX and BZY which is less than or equal to 32°
Step-by-step explanation:
The given measures of the of the angle formed by the tangent to the given circle at X and the secant passing through the circle at Z and Y are;


The direction Rick must kick the ball to score is therefore, between the lines BX and BXY
The angle between the lines BX and BXY = ∠XBZ = ∠XBY
The goal is an angle between 
Let 'θ' represent the angle Rick must kick the ball to score
Therefore the angle Rick must kick the ball to score is an angle less than or equal to ∠XBZ = ∠XBY
By the Angle Outside the Circle Theorem, we have;
The angle formed outside the circle = (1/2) × The difference of the arcs intercepted by the tangent and the secant

We get;
∠XBZ = (1/2) × (122° - 58°) = 32°
The angle Rick must kick the ball to score, θ = ∠XBZ ≤ 32°
Answer: option A is the correct answer.
Step-by-step explanation:
The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri paid $2.52 for 6 oranges.
If p represents the cost, in dollars,and n represents the number of oranges purchased, then introducing a proportionality constant, k, the equation becomes
p = kn
2.52 = k × 6
k = 2.52/6 = 0.42
Therefore, the equation representing the relationship is
p = 0.42n
Slope = (8 - 0)/(0 - 4) = -2
y intercept b = 8
y = mx + b where m = - 2 and b = 8
So equation y = -2x + 8
Answer
D. last one
y = -2x + 8