Answer:
218 students purchased tickets at the dance.
Step-by-step explanation:
Let,
x be the number of presale tickets
y be the number of tickets sold at the dance
According to given statement;
x+y=334 Eqn 1
18x+24y=7320 Eqn 2
Multiplying Eqn 1 by 18
18(x+y=334)
18x+18y=6012 Eqn 3
Subtracting Eqn 3 from Eqn 2
(18x+24y)-(18x+18y)=7320-6012
18x+24y-18x-18y=1308
6y=1308
Therefore,
218 students purchased tickets at the dance.
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.
To know more about probability follow
#SPJ1
