Part (a) Finding the probability of either A or B
We are told that events A and B are mutually exclusive. This means they cannot happen at the same time. We can say P(A and B) = 0
Furthermore,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.4 + 0.2 - 0
P(A or B) = 0.6
<h3>Answer: 0.6</h3>
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Part (b) Finding the probability of neither A nor B
P(A or B) + P(neither A nor B) = 1
P(neither A nor B) = 1 - P(A or B)
P(neither A nor B) = 1 - 0.6
P(neither A nor B) = 0.4
The reason why this works is to imagine throwing a dart at the Venn diagram. You'll either...
- you land in A or B (pick one but not both), OR,
- you'll land outside both regions A and B.
One or the other must happen. Both events cannot happen simultaneously.
<h3>Answer: 0.4</h3>
18 < x ≈42
=Z and 5 (less than equal to sign) 27
= X and 2 > 50
Answer:
y = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (4, 3)
m = 
= 
= 3
y = 3x + c ← is the partial equation
To find c substitute any of the 2 points into the partial equation
Using (4, 3), then
3 = 12 + c ⇒ c = 3 - 12 = - 9, hence
y- intercept c = - 9 ⇒ (0, - 9 )
Answer:
3/2
Sorry for the bad handwriting.
Answer:
700
Step-by-step explanation:
175 divided by 3 is 58.3 and then you multiply 58.3 by 12 and get 700
