Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
<h3>What is probability?</h3>Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Two events, A and B are independent, if:
P(A B) = P(A) P(B)
In this problem, the events are:
Out of the 1000 people, 450 are female, hence:
P(A) = = 0.45
850 earn over $50,000, hence:
P(B) = = 0.85
375 are women who earn over $50,000, hence:
P(A B) =
= 0.375
The multiplication of the probabilities is:
P(A B) = 0.45(0.85} = 0.3825
Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
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Traveling miles on this taxi costs
In fact, we spend 2.50 no matter what, and then we add 3.25 (i.e. the cost of a mile) multiplied by the number of miles.
This quantity has to be less than or equal to 61, so we have
Solving for , we start by subtracting 2.5 from both sides:
Then, we divide both sides by 3.25:
Answer:
A
Step-by-step explanation:
The base angles of an isosceles triangle are congruent
The sum of the 3 angles in a triangle = 180°, hence
180° - 112° = 68°
base angle = = 34°
Thus each base angle equals 34° → A