We need to find the probability of the event:
having blue eyes or blond hair
This event is the union of the events:
A: having blue eyes.
B: having blond hair.
So, we need to find the probability P(A ∪ B). In order to do so, we can use the following formula:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
We know that the probability of the intersection of A and B (having both) is
P(A ∩ B) = 24%
Also:
P(A) = 43%
P(B) = 46%
Then, using those values into the above formula, we find:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∪ B) = 43% + 46% - 24%
P(A ∪ B) = (43 + 46 - 24)%
P(A ∪ B) = 65%
Answer:
#1. Identity #2. 0 #3. No solution
Step-by-step explanation:
#1.
5y + 2 = (1/2)(10y+4)
5y + 2 = 5y + 2
This would be identity as the equation of the left and right are the same. This is not to be confused with no solution(explained below).
#2.
0.5b + 4 = 2(b+2)
0.5b + 4 = 2b + 4
0.5 b - 2b = 0
b = 0
#3.
-3x + 5 = -3x + 10
This equation has no solution because when you try to bring the -3x to one side, the x variable itself gets eliminated. So, how is it different from identity? Well in the first equation, it is true that when we try to bring the 5y one side it eliminates the y variable, however, that is also true for the constants(since if we try to bring the 2 to one side, it will be 2-2 which will equal 0, thus eliminating each other), but in this case, even if we remove the x, the constants will not equal 0, thus it will have no solution.
<span>E = {x|x is a perfect square between 1 and 9} = {1,4
</span><span>F = {x|x is an even number greater than or equal to 2 and less than 9}
</span><span>D = {x|x is a whole number}
</span>
answer
D ∩ (E ∩ F) = 4
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Answer:
706.50 mm^2
Step-by-step explanation:
The formula to find the circumference is 2πr (r : radius)
if the circumference is 30π the the radius is = 15
to find the area we use the following formula :
π*r^2
r = 15 and π is given as 3.14
(3.14)*15^2 = 706.50 mm^2